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A. Ya. Khinchin Sequences of Chance Events without
After-Effects . . . . . . . . . . . . . 1--15
Harald Cramer A Theorem on Ordered Sets of Probability
Distributions . . . . . . . . . . . . . 16--21
E. B. Dynkin Markov Processes and Semigroups of
Operators . . . . . . . . . . . . . . . 22--33
E. B. Dynkin Infinitesimal Operators of Markov
Processes . . . . . . . . . . . . . . . 34--54
A. Rényi On Conditional Probability Spaces
Generated by a Dimensionally Ordered Set
of Measures . . . . . . . . . . . . . . 55--64
R. L. Dobrushin Central Limit Theorem for Nonstationary
Markov Chains. I . . . . . . . . . . . . 65--80
Lajos Takacs On the Sequence of Events, Selected by a
Counter From a Recurrent Process of
Events . . . . . . . . . . . . . . . . . 81--91
G. Mihoc On Limit Laws for Random Vectors
Connected in a Markov Chain . . . . . . 92--100
V. S. Vladimirov Monte Carlo Methods as Applied to the
Calculation of the Lowest Eigenvalue and
the Associated Eigen-Function of a
Linear Integral Equation . . . . . . . . 101--116
S. Kh. Tumanyan Asymptotic Distribution of the $ \chi^2
$ Criterion when the Number of
Observations and Number of Groups
Increase Simultaneously . . . . . . . . 117--131
K. Urbanik Stochastic Processes Whose Sample
Functions are Distributions . . . . . . 132--134
E. B. Dynkin and
A. A. Yushkevich Strong Markov Processes . . . . . . . . 134--139
N. N. Chentsov Weak Convergence of Stochastic Processes
Whose Trajectories Have No
Discontinuities of the Second Kind and
the ``Heuristic'' Approach to the
Kolmogorov-Smirnov Tests . . . . . . . . 140--144
A. M. Yaglom Application of Function-Space Integrals
to the Evaluation of the Statistical Sum
of Quantum Statistics . . . . . . . . . 145--149
S. Kh. Sirazhadinov On Estimators with Minimum Bias for a
Binomial Distribution . . . . . . . . . 150--156
Yu. V. Prokhorov Convergence of Random Processes and
Limit Theorems in Probability Theory . . 157--214
A. N. Kolmogorov On Skorokhod Convergence . . . . . . . . 215--222
A. A. Petrov Verification of Statistical Hypotheses
on the Type of a Distribution Based on
Small Samples . . . . . . . . . . . . . 223--245
U. E. James-Levy A Nomogram for the Integral Law of
Student's Distribution . . . . . . . . . 246--248
G. A. Ososkov A Limit Theorem for Flows of Similar
Events . . . . . . . . . . . . . . . . . 248--255
I. A. Ibragimov On the Composition of Unimodal
Distributions . . . . . . . . . . . . . 255--260
A. V. Skorokhod Limit Theorems for Stochastic Processes 261--290
A. Ya. Khinchin On Poisson Sequences of Chance Events 291--297
A. S. Monin A Statistical Interpretation of the
Scattering of Microscopic Particles . . 298--311
I. I. Gikhman On Asymptotic Properties of Some
Statistics Similar to $ \chi^2 $ . . . . 312--315
V. V. Petrov A Local Theorem for Densities of Sums of
Independent Random Variables . . . . . . 316--322
G. N. Sakovich A Single Form for the Conditions for
Attraction to Stable Laws . . . . . . . 322--325
V. P. Skitovicn On a Characterization of Brownian Motion 326--328
R. L. Dobrushin Central Limit Theorem for Nonstationary
Markov Chains. II . . . . . . . . . . . 329--383
A. N. Kolmogorov Two Uniform Limit Theorems for Sums of
Independent Random Variables . . . . . . 384--394
V. S. Mikhalevish Sequential Bayes Solutions and Optimal
Methods of Statistical Acceptance
Control . . . . . . . . . . . . . . . . 395--421
Yu. V. Linnik On the Question of Finding a General
Distribution from the Distribution of a
Statistic . . . . . . . . . . . . . . . 422--434
Yu. V. Linnik A Remark on Cramer's Theorem on the
Decomposition of the Normal Law . . . . 435--436
R. L. Dobrushin An Example of a Countable Homogeneous
Markov Process All States of which are
Transient . . . . . . . . . . . . . . . 436--440
I. A. Ibragimov A Theorem in the Theory of Infinitely
Divisible Laws . . . . . . . . . . . . . 440--444
J. L. Doob Brownian Motion on a Green Space . . . . 1--30
Yu. V. Linnik On the Decomposition of the Convolution
of Gaussian and Poissonian Laws . . . . 31--57
Chiang Tse-Pei On the Linear Extrapolation of a
Continuous Homogeneous Random Field . . 58--89
Lajos Takács On a Stochastic Process Concerning Some
Waiting Time Problems . . . . . . . . . 90--103
B. A. Sevast'yanov An Ergodic Theorem for Markov Processes
and Its Application to Telephone Systems
with Refusals . . . . . . . . . . . . . 104--112
A. I. Koronkevich Some Remarks on Evaluating the Accuracy
of Linear Extrapolation and Filtration 112--117
I. A. Ibragimov A Remark on Probability Distributions of
Class $L$ . . . . . . . . . . . . . . . 117--119
L. N. Bol'shev A Nomogram Connecting the Parameters of
a Normal Distribution with Probabilities
for Classification Into Three Groups . . 120--122
Ya. G. Sinai On the Distribution of the First
Positive Sum for a Sequence of
Independent Random Variables . . . . . . 122--129
Anonymous A Summary of Papers Presented at the
Sessions of the Scientific Research
Seminar on the Theory of Probability
(September--December 1956) . . . . . . . 129--137
A. V. Skorokhod Limit Theorems for Stochastic Processes
with Independent Increments . . . . . . 138--171
Saad K. Nasr On the Convergence, Basic Distributions
and Classification of Abstract Random
Variables . . . . . . . . . . . . . . . 172--180
A. A. Yushkevich On Strong Markov Processes . . . . . . . 181--205
Wolfgang Richter Local Limit Theorems for Large
Deviations . . . . . . . . . . . . . . . 206--220
V. A. Volkonskii A Multi-Dimensional Limit Theorem for
Homogeneous Markov Chains with a
Countable Number of States . . . . . . . 221--244
V. M. Zolotarev More Exact Statements of Several
Theorems in the Theory of Branching
Processes . . . . . . . . . . . . . . . 245--253
V. N. Klimov The Kinetic Equation for Mixtures . . . 253--260
Yu. A. Rozanov On a Local Limit Theorem for Lattice
Distributions . . . . . . . . . . . . . 260--265
N. N. Chentsov Lévy Brownian Motion for Several
Parameters and Generalized White Noise 265--266
Zbynek Sidák On Relations Between Strict-Sense and
Wide-Sense Conditional Expectations . . 267--272
A. M. Yaglom Some Classes of Random Fields in
$n$-Dimensional Space, Related to
Stationary Random Processes . . . . . . 273--320
B. A. Sevast'yanov Limit Theorems for Branching Stochastic
Processes of Special Form . . . . . . . 321--331
Yu. V. Linnik Some Remarks on the Method of Least
Squares, with Application to Direct and
Inverse Location Problems . . . . . . . 332--344
V. P. Chistyakov Local Limit Theorems in the Theory of
Branching Random Processes . . . . . . . 345--363
G. Sh. Rubinshtein and
K. Urbanik Solution of an Extremal Problem . . . . 364--366
R. L. Dobrushin Some Classes of Homogeneous Denumerable
Markov Processes . . . . . . . . . . . . 366--369
I. I. Gikhman On a Nonparametric Homogeneity Criterion
for $k$ Samples . . . . . . . . . . . . 369--373
I. D. Cherkasov On the Transformation of the Diffusion
Process to a Wiener Process . . . . . . 373--377
S. V. Nagaev Some Limit Theorems for Stationary
Markov Chains . . . . . . . . . . . . . 378--406
A. V. Skorokhod On the Differentiability of Measures
Which Correspond to Stochastic
Processes. I. Processes with Independent
Increments . . . . . . . . . . . . . . . 407--432
V. M. Zolotarev Mellin--Stieltjes Transforms in
Probability Theory . . . . . . . . . . . 433--460
S. V. Smirnov and
M. K. Potapov A Nomogram for the Incomplete $ \Gamma
$-Function and the $ \chi^2 $
Probability Function . . . . . . . . . . 461--465
N. P. Klepikov and
S. N. Sokolov Non-Linear Confluence Analysis . . . . . 465--468
Yu. V. Prokhorov and
M. Fish A Characterization of Normal
Distributions in Hilbert Space . . . . . 468--470
Anonymous Summary of Papers Presented at the
Sessions of the Scientific Research
Seminar on Probability Theory, (Moscow,
February--May, 1957) . . . . . . . . . . 470--480
Yu. V. Linnik General Theorems on the Factorization of
Infinitely Divisible Laws . . . . . . . 1--37
E. B. Dynkin Discontinuous Markov Processes . . . . . 38--57
L. Takács On a Sojourn Time Problem . . . . . . . 58--65
K. V. Maslov and
A. Ya. Povzner The Infinitesimal Operators of a Class
of Markov Processes . . . . . . . . . . 66--78
I. P. Tsaregradskii A Note on the Capacity of a Stationary
Channel with Finite Memory . . . . . . . 79--91
R. L. Dobrushin The Continuity Condition for the Sample
Functions of a Martingale . . . . . . . 92--93
Chiang Tse-Pei A Note on the Definition of the Amount
of Information . . . . . . . . . . . . . 93--96
V. Erokhin $ \varepsilon $-Entropy of a Discrete
Random Variable . . . . . . . . . . . . 97--100
V. Richter Multi-Dimensional Local Limit Theorems
for Large Deviations . . . . . . . . . . 100--106
Anonymous Reviews and Bibliography . . . . . . . . 106--110
B. A. Bevast'yanov Branching Stochastic Processes for
Particles Diffusing in a Bounded Domain
with Absorbing Boundaries . . . . . . . 111--126
M. G. Shur Ergodic Properties of Invariant Markov
Chains on Homogeneous Spaces . . . . . . 127--140
Yu. V. Prokhorov Strong Stability of Sums and Infinitely
Divisible Distributions . . . . . . . . 141--153
I. I. Gikhman A Limit Theorem for the Number of Maxima
in the Sequence of Random Variables in a
Markov Chain . . . . . . . . . . . . . . 154--160
R. L. Dobrusin A Statistical Problem Arising in the
Theory of Detection of Signals in the
Presence of Noise in a Multi-Channel
System and Leading to Stable
Distribution Laws . . . . . . . . . . . 161--173
B. A. Rogozin Some Problems in the Field of Limit
Theorems . . . . . . . . . . . . . . . . 174--184
V. M. Zolotarev Distribution of the Superposition of
Infinitely Divisible Processes . . . . . 185--188
V. Sazonov A Remark on Characteristic Functionals 188--192
I. M. Sobol' Pseudo-random numbers for the machine
``Strela'' . . . . . . . . . . . . . . . 192--197
Anonymous A Summary of Papers Presented at the
Seminar on the Theory of Probability . . 197--201
A. V. Skorokhod Limit Theorems for Markov Processes . . 202--246
A. A. Zinger Independence of Quasi-Polynomial
Statistics and Analytical Properties of
Distributions . . . . . . . . . . . . . 247--265
A. S. Monin The Structure of Atmospheric Turbulence 266--296
N. N. Vorob'ev Equilibrium Points in Bimatrix Games . . 297--309
V. A. Volkonskii Random Substitution of Time in Strong
Markov Processes . . . . . . . . . . . . 310--326
Yu. K. Belyaev On the Unboundedness of the Sample
Functions of Gaussian Processes . . . . 327--329
H. B. Kordonskii On a Distribution of the Number of
Defective Items in Manufactured Lots . . 329--333
Anonymous Reviews and Bibliography . . . . . . . . 333--334
L. D. Meshalkin Limit Theorems for Markov Chains with a
Finite Number of States . . . . . . . . 335--357
P. Whittle Continuous Generalizations of
Chebyshev's Inequality . . . . . . . . . 358--366
R. L. Dobrushin Information Transmission in a Channel
with Feedback . . . . . . . . . . . . . 367--383
I. S. Volkov On the Distribution of Sums of Random
Variables Defined on a Homogeneous
Markov Chain with a Finite Number of
States . . . . . . . . . . . . . . . . . 384--399
R. Z. Khas'minskii Diffusion Processes and Elliptic
Differential Equations Degenerating at
the Boundary of the Domain . . . . . . . 400--419
G. P. Basharin Final Probabilities for
Multi-Dimensional Markov Processes Which
Describe the Action of Some Two-Stage
Telephone Systems with Busy-Signals . . 420--425
E. G. Gladyshev On Multi-Dimensional Stationary Random
Processes . . . . . . . . . . . . . . . 425--428
R. L. Dobrushin A Simplified Method of Experimentally
Evaluating the Entropy of a Stationary
Sequence . . . . . . . . . . . . . . . . 428--430
V. S. Mikhalevich Sequential Selection between Two
Solutions for a Poisson Process . . . . 430--434
I. P. Tsaregradskii On Uniform Approximation of the Binomial
Distribution by Infinitely Divisible
Laws . . . . . . . . . . . . . . . . . . 434--438
Anonymous Reviews and Bibliography . . . . . . . . 438--440
E. B. Dynkin One-Dimensional Continuous Strong Markov
Processes . . . . . . . . . . . . . . . 1--52
Yu. V. Linnik General Theorems on the Factorization of
Infinitely Divisible Laws II. Sufficient
Conditions (Case of a finite Poisson
Spectrum) . . . . . . . . . . . . . . . 53--82
S. A. Aivazian Comparison of the Optimal Properties of
the Wald and Neyman--Pearson Criteria 83--89
Leo A. Goodman A Note on Stepanov's Tests for Markov
Chains . . . . . . . . . . . . . . . . . 89--92
D. Vere-Jones and
David G. Kendall A Commutativity Problem in the Theory of
Markov Chains . . . . . . . . . . . . . 92--95
I. N. Kovalenko On a Class of Optimal Decision Functions
for a Binomial Family of Distributions 95--99
Albert Perez Information Theory with an Abstract
Alphabet (Generalized Forms of
McMillan's Limit Theorem) for the Case
of Discrete and Continuous Times . . . . 99--102
V. P. Chistyakov Generalization of a Theorem for
Branching Processes . . . . . . . . . . 103--106
Anonymous Conference on the Application of
Mathematical Methods in Biology . . . . 107--109
Anonymous The All-Union Conference on the Theory
of Probability and Mathematical
Statistics . . . . . . . . . . . . . . . 109--112
B. A. Sevast'yanov Transient Phenomena in branching
stochastic processes . . . . . . . . . . 113--128
L. N. Bol'shev On Transformations of Random Variables 129--141
Yu. V. Linnik General Theorems on the Factorization of
Infinitely Divisible Laws III.
Sufficient Conditions (Countable Bounded
Poisson Spectrum. Unbounded Spectrum.
``Stability'') . . . . . . . . . . . . . 142--163
A. D. Venttsel' On Boundary Conditions for
Multidimensional Diffusion Processes . . 164--177
V. A. Volkonskii and
Yu. A. Rozanov Some Limit Theorems for Random
Functions. I . . . . . . . . . . . . . . 178--197
V. A. Volkonskii Continuous One-Dimensional Markov
Processes and Additive Functionals
Derived from Them . . . . . . . . . . . 198--200
Yu. V. Prokhorov An Extremal Problem in Probability
Theory . . . . . . . . . . . . . . . . . 201--203
Yu. V. Prokhorov Some Remarks on the Strong Law of Large
Numbers . . . . . . . . . . . . . . . . 204--208
V. V. Petrov Asymptotic Expansions for Distributions
of Sums of Independent Random Variables 208--211
V. V. Petrov On a Class of Limit Theorems for
Independent Random Variables . . . . . . 211--214
S. Kh. Sirazhdinov On an Exact Estimate for a Local Theorem 215--218
Anonymous Summary of Papers Presented at the
Sessions of the Seminar on Probability
Theory, Moscow University
(September-December 1958) . . . . . . . 218--228
Anonymous Criticism and Bibliography . . . . . . . 229--229
Anonymous Corrections ``Transmission of
Information In Channels With Reversed
Connections'' . . . . . . . . . . . . . 230--230
L. M. Abramov The Entropy of an Automorphism of a
Solenoidal Group . . . . . . . . . . . . 231--236
B. M. Kloss Probability Distributions on Bicompact
Topological Groups . . . . . . . . . . . 237--270
Yu. A. Rozanov Spectral Analysis of Abstract Functions 271--287
Ju. V. Linnik An Information-Theoretic Proof of the
Central Limit Theorem with Lindeberg
Conditions . . . . . . . . . . . . . . . 288--299
P. Masani and
N. Wiener On Bivariate Stationary Processes and
the Factorization of Matrix-Valued
Functions . . . . . . . . . . . . . . . 300--308
R. Z. Khas'minskii On Positive Solutions of the Equation $
\mathfrak {A}U + V u = 0 $ . . . . . . . 309--318
V. P. Leonov and
A. N. Shiryaev On a Method of Calculation of
Semi-Invariants . . . . . . . . . . . . 319--329
I. V. Girsanov On a Property of Non-Degenerate
Diffusion Processes . . . . . . . . . . 329--333
G. P. Basharin On a Statistical Estimate for the
Entropy of a Sequence of Independent
Random Variables . . . . . . . . . . . . 333--336
B. V. Gendenko Reviews and Bibliographies . . . . . . . 336--338
V. S. Korolyuk Asymptotic Analysis of the Distribution
of the Maximum Deviation in the
Bernoulli Scheme . . . . . . . . . . . . 339--366
R. P. Pakshirajan On the Maximum Partial Sums of Sequences
of Independent Random Variables . . . . 367--372
Chiang Tse-Pei On the Estimation of Regression
Coefficients of a Continuous Parameter
Time Series with a Stationary Residual 373--390
M. E. Gertsenshtein and
V. B. Vasil'ev Waveguides with Random Inhomogeneities
and Brownian Motion In the Lobachevsky
Plane . . . . . . . . . . . . . . . . . 391--398
F. I. Karpelevicii and
V. N. Tutubalin Limit Theorems for the Compositions of
Distributions in the Lobachevsky Plane
and Space . . . . . . . . . . . . . . . 399--402
Yu. K. Belyaev Analytic Random Processes . . . . . . . 402--409
V. I. Babkin and
P. F. Belyaev and
Yu. I. Maksimov Some Remarks on Goncharov's Paper from
the Domain of Combinatorics . . . . . . 409--414
S. Ya. Vilenkin On the Estimation of the Mean in
Stationary Processes . . . . . . . . . . 415--416
I. A. Ibragimov and
K. E. Chernin On the Unimodality of Geometric Stable
Laws . . . . . . . . . . . . . . . . . . 417--419
I. V. Romanovskii On One Theorem of R. Bellman . . . . . . 420--421
Li Heng Won On the Theory of Optimal Filtering of a
Signal in the Presence of Internal
Random Noise . . . . . . . . . . . . . . 422--426
Yu. A. Rozanov On the Extrapolation of Generalized
Stationary Random Processes . . . . . . 426--431
V. V. Petrov Summary of Papers Presented at the
Sessions of the Probability Research
Seminar, Moscow University (February-May
1959) . . . . . . . . . . . . . . . . . 432--443
B. V. Gnedenko Alexander Yakovlevich Khinchin ---
Obituary . . . . . . . . . . . . . . . . 1--4
I. V. Girsanov Strongly-Feller Processes I. General
Properties . . . . . . . . . . . . . . . 5--24
R. L. Dobrushin Passage to the Limit under the
Information and Entropy Signs . . . . . 25--32
R. F. Matveev On Singular Multidimensional Stationary
Processes . . . . . . . . . . . . . . . 33--39
A. V. Skorokhod On the Differentiability of Measures
Corresponding to Random Processes. II.
Markov Processes . . . . . . . . . . . . 40--49
K. V. Maslov On Some Limit Theorems of Probability
Theory . . . . . . . . . . . . . . . . . 50--79
P. I. Kuznetsov and
R. L. Stratonovich and
V. I. Tikhonov Quasi-Moment Functions in the Theory of
Random Processes . . . . . . . . . . . . 80--97
Yu. V. Prokhorov On a Uniform Limit Theorem of A. N.
Kolmogorov . . . . . . . . . . . . . . . 98--106
L. D. Meshalkin On the Approximation of Polynomial
Distributions by Infinitely Divisible
Laws . . . . . . . . . . . . . . . . . . 106--114
B. A. Rogozin A Remark on Esséen's Paper ``A Moment
Inequality with an Application to the
Central Limit Theorem'' . . . . . . . . 114--117
Yu. K. Belyaev Local Properties of the Sample Functions
of Stationary Gaussian Processes . . . . 117--120
R. L. Dobrushin Properties of Sample Functions of a
Stationary Gaussian Process . . . . . . 120--122
Anonymous Information on the Second Conference on
the Application of Mathematical Methods
in Biology . . . . . . . . . . . . . . . 122--123
A. A. Borovkov Limit Theorems on the Distributions of
Maxima of Sums of Bounded Lattice Random
Variables. I . . . . . . . . . . . . . . 125--155
R. L. Stratonovich Conditional Markov Processes . . . . . . 156--178
R. Z. Khas'minskii Ergodic Properties of Recurrent
Diffusion Processes and Stabilization of
the Solution to the Cauchy Problem for
Parabolic Equations . . . . . . . . . . 179--196
A. N. Kolmogorov and
O. V. Sarmanov The Work of S. N. Bernshtein on the
Theory of Probability . . . . . . . . . 197--203
A. N. Kolmogorov and
Yu. A. Rozanov On Strong Mixing Conditions for
Stationary Gaussian Processes . . . . . 204--208
Lyan Chzhi-Shuén On Conditional Markov Processes . . . . 208--209
I. D. Cherkasov Criteria for Coordinate-Homogeneity for
Continuous Markov Processes . . . . . . 209--216
A. A. Yushkevich On the Definition of a Strong Markov
Process . . . . . . . . . . . . . . . . 216--220
Yu. A. Rozanov A Central Limit Theorem for Additive
Random Functions . . . . . . . . . . . . 221--223
G. P. Basharin The Congestion Time Limit Distribution
for a Fully Available Group of Trunks 223--228
Anonymous Report on the Conference on Limit
Theorems of Probability Theory . . . . . 228--238
A. M. Yaglom Effective Solutions of Linear
Approximation Problems for Multivariate
Stationary Processes with a Rational
Spectrum . . . . . . . . . . . . . . . . 239--264
A. N. Shiryaev Some Problems in the Spectral Theory of
Higher-Order Moments. I . . . . . . . . 265--284
I. V. Girsanov On Transforming a Certain Class of
Stochastic Processes by Absolutely
Continuous Substitution of Measures . . 285--301
P. Whittle Bounds for the Moments of Linear and
Quadratic Forms in Independent Variables 302--305
Ya. G. Sinai Dynamic Systems and Stationary Markov
Processes . . . . . . . . . . . . . . . 305--308
I. S. Volkov On Probabilities for Extreme Values of
Sums of Random Variables Defined on a
Homogeneous Markov Chain with a Finite
Number of States . . . . . . . . . . . . 308--319
V. A. Ivanov On the Average Number of Crossings of a
Level by the Sample Functions of a
Stochastic Process . . . . . . . . . . . 319--323
V. A. Volkonskii An Ergodic Theorem on the Distribution
of the Duration of Fades . . . . . . . . 323--326
I. M. Sobol On the Solution of Peierl's Integral
Equation by the Monte Carlo Method . . . 326--331
Anonymous Summary of Papers Presented at Sessions
of the Seminar of the Department of
Probability Theory of Moscow University
(October-December 1959) . . . . . . . . 332--340
A. A. Borovkov Limit Theorems on the Distribution of
Maximum of Sums of Bounded, Lattice
Random Variables. II . . . . . . . . . . 341--355
D. A. Darling On the Theorems of Kolmogorov-Smirnov 356--361
Yu. A. Rozanov Spectral Properties of Multivariate
Stationary Processes and Boundary
Properties of Analytic Matrices . . . . 362--376
D. Z. Arov and
A. A. Bobrov The Extreme Terms of a Sample and Their
Role in the Sum of Independent Variables 377--396
B. V. Gnedenko and
A. N. Kolmogorov and
Yu. V. Prokhorov and
O. V. Sarmanov On the Works of N. V. Smirnov In
Mathematical Statistics . . . . . . . . 397--401
E. B. Dynkin Additive Functionals of a Wiener Process
Determined by Stochastic Integrals . . . 402--410
L. N. Bol'shev On Estimates of probabilities . . . . . 411--415
N. N. Vorob'ev On Coalition-Free Strategies . . . . . . 415--417
V. P. Leonov and
A. N. Shiryaev Some Problems in the Spectral Theory of
Higher-Order Moments, II . . . . . . . . 417--421
Yu. P. Studnev An Approximation to the Distribution of
Sums by Infinitely Divisible Laws . . . 421--425
I. N. Kovalenko On the Limit Distribution of the First
Jump . . . . . . . . . . . . . . . . . . 425--428
S. M. Ermakov and
V. G. Zolotukhin Polynomial Approximations and the
Monte--Carlo Method . . . . . . . . . . 428--431
L. V. Seregin Continuity Conditions for Stochastic
Processes . . . . . . . . . . . . . . . 1--26
V. P. Chistyakov Transient Phenomena in Branching
Stochastic Processes . . . . . . . . . . 27--41
V. A. Volkonskii Construction of Non-Homogeneous Markov
Processes by Means of a Random
Substitution of Time . . . . . . . . . . 42--51
E. G. Gladyshev A New Limit Theorem for Stochastic
Processes with Gaussian Increments . . . 52--61
S. V. Nagaev More Exact Statement of Limit Theorems
for Homogeneous Markov Chains . . . . . 62--81
Yu. V. Prokhorov and
V. V. Sazonov Some Results Associated with Bochner's
Theorem . . . . . . . . . . . . . . . . 82--87
V. P. Leonov On the Dispersion of Time-Dependent
Means of a Stationary Stochastic Process 87--93
Yu. K. Belyaev An Example of a Process with Mixing . . 93--94
B. A. Rogozin An Estimate for Concentration Functions 94--97
B. A. Rogozin On the Increase of Dispersion of Sums of
Independent Random Variables . . . . . . 97--99
A. A. Borovkov Local Theorems and Moments for Maxima of
Sums of Bounded Lattice Components . . . 99--101
John G. Kemeny and
J. Laurie Snell Finite Continuous Time Markov Chains . . 101--105
D. K. Faddeev and
N. N. Vorob'ev Continuation of Conditional
Probabilities . . . . . . . . . . . . . 105--107
R. Z. Khas'minskii On Limit Distributions of Sums of
Conditionally Independent Random
Variables . . . . . . . . . . . . . . . 108--113
V. N. Tutubalin Invariant Random Measures on the Sphere 113--117
E. M. Khazen Evaluation of the One-Dimensional
Probability Densities and Moments of a
Random Process in the Output of an
Essentially Non-Linear System . . . . . 117--123
S. V. Smirnov and
M. K. Potapov A Nomogram for the $ \chi^2 $
Probability Function . . . . . . . . . . 124--126
Anonymous Information on the Sixth Conference on
the Theory of Probability and
Mathematical Statistics . . . . . . . . 126--130
Yu. V. Linnik Limit Theorems for Sums of Independent
Variables Taking into Account Large
Deviations. I . . . . . . . . . . . . . 131--148
R. F. Matveev On Multi-dimensional Regular Stationary
Processes . . . . . . . . . . . . . . . 149--165
J. Hájek On Linear Estimation Theory for an
Infinite Number of Observations . . . . 166--177
T. A. Sarymsakov Inhomogeneous Markov Chains . . . . . . 178--185
V. A. Volkonskii and
Yu. A. Rozanov Some Limit Theorems for Random
Functions. II . . . . . . . . . . . . . 186--198
M. Arato On the Sufficient Statistics for
Stationary Gaussian Random Processes . . 199--201
V. M. Zolotarev Concerning a Certain Probability Problem 201--204
I. N. Kovalenko Some Queuing Problems with Restrictions 204--208
Leung Chi-Son Invariability of the Strong Markov
Property in the Transformations of
Dynkin . . . . . . . . . . . . . . . . . 209--211
L. P. Postnikova On the Connection between the Concepts
of Collectives of Mises--Church and
Normal Bernoulli Sequences of Symbols 211--213
E. M. Khazen Estimating the Density of the
Probability Distributions for Random
Processes in Systems with
Non-Linearities of Piecewise-Linear Type 214--220
Anonymous A Summary of Reports . . . . . . . . . . 220--227
Anonymous Missing and Extra Observations in
Analysis of Variance . . . . . . . . . . 227--227
Anonymous Reviews and Bibliography . . . . . . . . 227--231
L. D. Meshalkin On Approximations of Distribution
Functions of Sums by Infinitely
Divisible Laws . . . . . . . . . . . . . 233--252
B. A. Sevast'yanov Extinction Conditions for Branching
Stochastic Processes with Diffusion . . 253--263
A. V. Skorokhod Stochastic Equations for Diffusion
Processes in a Bounded Region . . . . . 264--274
A. F. Filippov On the Distribution of the Sizes of
Particles which Undergo Splitting . . . 275--294
L. N. Bol'shev A Refinement of the Cramér--Rao
Inequality . . . . . . . . . . . . . . . 295--301
I. S. Volkov Analysis of Some Limit Theorems for
Large Deviations . . . . . . . . . . . . 302--304
V. M. Zolotarev On the Asymptotic Behavior of a Class of
Infinitely Divisible Laws . . . . . . . 304--307
V. S. Korolyuk On the Asymptotic Behavior of Some
Functionals in Lattice Random Walk . . . 308--314
Kh. B. Kordonskii The Distribution of the Number of
Defective Items in Manufactured Lots . . 314--320
Yu. A. Rozanov On the Applicability of the Central
Limit Theorem to Stationary Processes
Which have Passed Through a Linear
Filter . . . . . . . . . . . . . . . . . 321--322
V. A. Rokhlin On the Entropy of an Automorphism of a
Compact Commutative Group . . . . . . . 322--323
O. V. Shalaevskii A Short Proof of the Cramér--Rao
Inequality . . . . . . . . . . . . . . . 323--324
D. M. Chibisov On the Tests of Fit Based on Sample
Spacings . . . . . . . . . . . . . . . . 325--329
Anonymous Summary of Papers Presented at the
Probability Research Seminar, Moscow
University . . . . . . . . . . . . . . . 329--334
Anonymous Summary of Papers Presented at the
Sessions of the Probability and
Statistics Section of the Moscow
Mathematical Society (November-December,
1960) . . . . . . . . . . . . . . . . . 334--343
Yu. V. Linnik Limit Theorems for Sums of Independent
Variables Taking into Account Large
Deviations. II . . . . . . . . . . . . . 345--360
B. M. Kloss Limiting Distributions on Bicompact
Abelian Groups . . . . . . . . . . . . . 361--389
N. N. Vorob'ev An Analytic Characterization of
Independence and Markov Type Dependence 390--393
I. V. Romanovskii Game-Type Random Walks . . . . . . . . . 393--396
A. V. Skorokhod Additive Functionals of a Process of
Brownian Motion . . . . . . . . . . . . 396--404
A. D. Venttzel' On the Absolute Continuity of Transition
Probabilities of a One-Dimensional
Diffusion Process . . . . . . . . . . . 404--410
L. N. Bol'shev and
B. V. Gladkov and
M. V. Shcheglova Tables for the Calculation of $B$- and
$Z$-Distribution Functions . . . . . . . 410--419
E. A. Bavarov and
P. F. Belyaev On Testing the Randomness of Sampling
without Replacement . . . . . . . . . . 419--422
P. I. Kuznetsov and
P. L. Stratonovich and
V. I. Tikhonov Some Problems with Conditional
Probability and Quasimoment Functions 422--427
E. M. Polishchuk On Continual Means and Singular
Distributions . . . . . . . . . . . . . 427--430
V. M. Zolotarev and
V. S. Korolyuk On a Hypothesis Proposed by B. V.
Gnedenko . . . . . . . . . . . . . . . . 431--435
E. V. Bulinskaya On the Mean Number of Crossings of a
Level by a Stationary Gaussian Process 435--438
Anonymous Summary of Reports Presented at Meetings
of the Seminar on Mathematical
Statistics Mathematical Statistics at
the Mathematical Institute of the
Academy of Sciences, SSSR, 1960 . . . . 439--444
Anonymous Editorial . . . . . . . . . . . . . . . 1--2
A. V. Skorokhod Stochastic Equations for Diffusion
Processes in a Bounded Region. II . . . 3--23
A. A. Filippova Mises' Theorem on the Asymptotic
Behavior of Functionals of Empirical
Distribution Functions and Its
Statistical Applications . . . . . . . . 24--57
V. N. Klimov On Asymptotically Continuous Stochastic
Processes . . . . . . . . . . . . . . . 58--80
V. E. Benes Martingales on Metric Spaces . . . . . . 81--82
Yu. A. Rozanov On the Density of One Gaussian Measure
with Respect to Another . . . . . . . . 82--87
I. V. Romanovskii Minimax Theorems for Games with
Imperfect Transfer of Information . . . 87--93
A. A. Savin and
V. P. Ghistyakov Some Theorems for Branching Processes
with Several Types of Particles . . . . 93--100
M. I. Fortus Formulas for Extrapolation of Random
Fields . . . . . . . . . . . . . . . . . 101--108
T. P. Krasulina A Note on Some Stochastic Approximation
Processes . . . . . . . . . . . . . . . 108--113
L. N. Bol'shev Comparison of Parameters of Poisson
Distributions . . . . . . . . . . . . . 113--114
Yu. V. Linnik Limit Theorems for Sums of Independent
Variables Taking into Account Large
Deviations. III . . . . . . . . . . . . 115--129
Yu. N. Blagoveshchenskii Diffusion Processes Depending on a Small
Parameter . . . . . . . . . . . . . . . 130--146
N. N. Vorob'ev Consistent Families of Measures and
Their Extensions . . . . . . . . . . . . 147--163
A. A. Borovkov Some Theorems on Non-Latticed Random
Walk . . . . . . . . . . . . . . . . . . 164--179
A. A. Mitalauskas Local Limit Theorems for Stable Limit
Distributions . . . . . . . . . . . . . 180--185
M. G. Shur Localization of the Concept of an
Excessive Function Connected with a
Markov Process . . . . . . . . . . . . . 185--189
V. N. Tutubalin On the Limit Behavior of Compositions of
Measures in the Plane and Space of
Lobachevsky . . . . . . . . . . . . . . 189--196
V. N. Tutubalin and
M. I. Freidlin On the Structure of the Infinitesimal $
\sigma $-Algebra of a Gaussian Process 196--199
R. L. Dobrushin Optimal Binary Codes for Small Rates of
Transmission of Information . . . . . . 199--204
Ya. G. Sinai On Limit Theorems for Stationary
Processes . . . . . . . . . . . . . . . 205--210
R. F. Matveev On the Problem of Filtration of
Stationary Processes . . . . . . . . . . 211--213
Anonymous Summary of Papers Presented a the
Sessions of the Probability and
Statistics Section of the Moscow
Mathematical Society (December 1960--May
1961) . . . . . . . . . . . . . . . . . 213--227
Anonymous Reviews and Bibliography . . . . . . . . 227--235
B. M. Kloss Stable Distributions on a Class of
Locally Compact Groups . . . . . . . . . 237--257
Hu Kuo Ting On the Information Stability of a
Sequence of Channels . . . . . . . . . . 258--269
R. L. Dobrushin Asymptotic Estimates of the Probability
of Error for Transmission of Messages
over a Discrete Memoryless Communication
Channel with a Symmetric Transition
Probability Matrix . . . . . . . . . . . 270--300
S. P. Lloyd On a Measure of Stochastic Dependence 301--312
A. N. Kolmogorov B. V. Gnedenko's Work in Probability
Theory (On the occasion of his fiftieth
birthday) . . . . . . . . . . . . . . . 313--319
A. Ya. Khinchin Erlang's Formulas in the Theory of Mass
Service . . . . . . . . . . . . . . . . 320--325
I. V. Girsanov An Example of Non-Uniqueness of the
Solution of the Stochastic Equation of
K. Ito . . . . . . . . . . . . . . . . . 325--331
S. S. Kislitsyn The Average Length of a Minimum
Redundancy Binary Code for Probabilities
of Coded Symbols not Differing Greatly
From Each Other . . . . . . . . . . . . 331--333
V. V. Petrov Local Limit Theorems for Non-Identical
Lattice Distributions . . . . . . . . . 333--335
I. M. Slivnyak Some Properties of Stationary Flows of
Homogeneous Random Events . . . . . . . 336--341
Anonymous Summary of Reports Presented at the
Seminar on Mathematical Statistics in
the Mathematical Institute of the
Academy of Sciences of the USSR, 1961 341--348
I. A. Ibragimov Some Limit Theorems for Stationary
Processes . . . . . . . . . . . . . . . 349--382
V. S. Korolyuk Asymptotic Analysis of Distributions of
Maximum Deviations in a Lattice Random
Walk . . . . . . . . . . . . . . . . . . 383--401
J. W. Cohen On Derived and Nonstationary Markov
Chains . . . . . . . . . . . . . . . . . 402--423
S. Kh. Sirazhdinov and
M. Mamatov On Convergence in the Mean for Densities 424--428
B. A. Sevast'yanov Influence of Storage Bin Capacity on the
Average Standstill Time of a Production
Line . . . . . . . . . . . . . . . . . . 429--438
Hu Kuo Ting On the Amount of Information . . . . . . 439--447
B. Schweizer and
A. Sklar Statistical Metric Spaces Arising from
Sets of Random Variables in Euclidean
$n$-Space . . . . . . . . . . . . . . . 447--456
G. I. Kalmykov On the Partial Ordering of
One-Dimensional Markov Processes . . . . 456--459
Anonymous Summary of Papers Presented at the
Sessions of the Probability Theory and
Mathematical Statistics Section of the
Moscow Mathematical Society (October
1961--April 1962) . . . . . . . . . . . 459--466
R. Z. Khas'minskii Principle of Averaging for Parabolic and
Elliptic Differential Equations and for
Markov Processes with Small Diffusion 1--21
A. N. Shiryaev On Optimum Methods in Quickest Detection
Problems . . . . . . . . . . . . . . . . 22--46
R. L. Dobrushin Asymptotic Optimality of Group and
Systematic Codes for Some Channels . . . 47--60
A. V. Skorokhod A Limit Theorem for Homogeneous Markov
Chains . . . . . . . . . . . . . . . . . 61--70
R. Ranga Rao The Law of Large Numbers for $ D[0, 1]
$-Valued Random Variables . . . . . . . 70--74
M. I. Freidlin Diffusion Processes with Reflection and
Problems with a Directional Derivative
on a Manifold with a Boundary . . . . . 75--83
I. A. Ibragimov A Central Limit Theorem for a Class of
Dependent Random Variables . . . . . . . 83--89
S. Sokolov Continuous Planning of Regression
Experiments . . . . . . . . . . . . . . 89--96
M. Gasparov Statistical Investigation of Russian
Dolnik Trimeter . . . . . . . . . . . . 96--102
Yu. K. Belyaev and
W. M. Maksimov Analytic Properties of a Generating
Function for the Number of Renewals . . 102--105
Anonymous Report on the All-Union Colloquium on
Limit Theorems of Probability Theory . . 105--119
L. N. Bol'shev Asymptotically Pearson Transformations 121--146
I. S. Zhitomirskii On the Distribution Function of the Time
of first Exit . . . . . . . . . . . . . 147--155
B. V. Gnedenko and
Kh. V. Smirnov A. N. Kolmogorov's Work in Probability
Theory . . . . . . . . . . . . . . . . . 157--164
Y. K. Belyaev Limit Theorems for Dissipative Flows . . 165--173
E. G. Gladyshev Periodically and Almost-Periodically
Correlated Random Processes with a
Continuous Time Parameter . . . . . . . 173--177
B. Grigelionis On the Convergence of Sums of Random
Step Processes to a Poisson Process . . 177--182
Yu. G. Pollyak On a Comparison of Two Probabilities . . 182--183
O. V. Staroverov On a Searching Problem . . . . . . . . . 184--187
Enders A. Robinson Properties of the Wold Decomposition of
Stationary Stochastic Processes . . . . 187--195
Howard G. Tucker An Estimate of the Compounding
Distribution of a Compound Poisson
Distribution . . . . . . . . . . . . . . 195--200
G. N. Brovkovich and
Yu. V. Linnik A Remark on Confidence Estimation by the
Method of Least Squares . . . . . . . . 200--202
L. D. Meshalkin Generalization of Sperner's Theorem on
the Number of Subsets of a Finite Set 203--204
M. I. Fortus On Extrapolation of a Random Field
Satisfying the Wave Equation . . . . . . 204--207
M. Sur On the Law of Large Numbers for Markov
Processes . . . . . . . . . . . . . . . 208--212
Anonymous Summary of Papers Presented at Meetings
of the Seminar on Mathematical
Statistics at the Mathematical Institute
of the Academy of Sciences, USSR, 1962 212--222
Yu. Rozanov On the Problem of the Equivalence of
Probability Measures Corresponding to
Stationary Gaussian Processes . . . . . 223--231
A. A. Borovkov On Discrete Service Systems . . . . . . 232--246
A. N. Sirjaev On the Detection of Disorder in a
Manufacturing Process. I. . . . . . . . 247--265
M. M. Rao Inference in Stochastic Processes. I . . 266--281
V. V. Sazonov On the Glivenko--Cantelli Theorem . . . 282--286
V. G. Alekseev On Conditions for the Perpendicularity
of Gaussian Measures Corresponding to
Two Stochastic Processes . . . . . . . . 286--290
G. Ya. Lyubarskij and
Yu. L. Rabotnikov On the Theory of Differential Equations
with Random Coefficients . . . . . . . . 290--298
S. Sokolov Continuous Planning of Regression
Experiments.II . . . . . . . . . . . . . 298--304
E. I. Vilkas Axiomatic Definition of the Value of a
Matrix Game . . . . . . . . . . . . . . 304--307
E. G. Samandarov Service Systems in Heavy Traffic . . . . 307--309
Olaf Bunke Theory of Domain Estimation of
Statistical Parameters . . . . . . . . . 309--316
Peter D. Lax On the Regularity of Spectral Densities 316--319
P. Franken A Refinement of the Limit Theorem for
the Superposition of Independent Renewal
Processes . . . . . . . . . . . . . . . 320--328
P. A. Meyer The Strong Markov Property of
Multiplicative Functions . . . . . . . . 328--334
Anonymous Letter to the Editors . . . . . . . . . 334--334
H. P. McKean, Jr. Brownian Motion with a
Several-Dimensional Time . . . . . . . . 335--354
A. V. Skorokhod On Homogeneous Continuous Markov
Processes that are Martingales . . . . . 355--365
I. A. Ibragimov On Estimation of the Spectral Function
of a Stationary Gaussian Process . . . . 366--401
A. N. Sirjaev On the Detection of Disorder in a
Manufacturing Process. II . . . . . . . 402--413
N. N. Vorob'ev On a Topologization of the set of
Interior Consistent Families of Measures 414--419
N. Vorob'ev Markov Measures and Markov Extensions 420--429
Ya. G. Sinaj On Higher Order Spectral Measures of
Ergodic Stationary Processes . . . . . . 429--436
A. N. Shiryaev On Conditions for Ergodicity of
Stationary Processes in Terms of Higher
Order Moments . . . . . . . . . . . . . 436--439
David G. Kendall Some Recent Work and Further Problems in
the Theory of Queues . . . . . . . . . . 1--13
Yu. V. Linnik On A. Wald's Test Comparing Two Normal
Samples . . . . . . . . . . . . . . . . 14--27
Wolfgang Richter Multi-Dimensional Limit Theorems for
Large Deviations and Their Application
to the $ \chi^2 $ Distribution . . . . . 28--37
N. P. Kandelaki and
V. V. Sozanov On a Central Limit Theorem for Random
Elements with Values in Hilbert Space 38--46
N. N. Vorob'ev On Families of Random Transitions . . . 47--64
K. R. Parthasarathy and
S. R. S. Varadhan Extension of Stationary Stochastic
Processes . . . . . . . . . . . . . . . 65--71
V. A. Volkonskii Optimum Estimation of the Moment of
Emergence of a Signal in the Presence of
Multiplicative High-Frequency Gaussian
Noise . . . . . . . . . . . . . . . . . 72--88
W. Hoeffding On a Theorem of V. M. Zolotarev . . . . 89--91
O. V. Viskov and
Yu. V. Prokhorov The Probability of Loss of Calls in
Heavy Traffic . . . . . . . . . . . . . 92--96
D. Vere-Jones A Rate of Convergence Problem in the
Theory of Queues . . . . . . . . . . . . 96--103
P. Whittle On the Convergence to Normality of
Quadratic Forms in Independent Variables 103--108
K. R. Parthasarathy and
V. V. Sazonov On the Representation of Infinitely
Divisible Distributins on Locally
Compact Abelian Groups . . . . . . . . . 108--111
B. M. Kloss Topology in a Group and Convergence of
Distributions . . . . . . . . . . . . . 111--114
M. G. Shur On Functions Which are Superharmonic for
Markov Processes . . . . . . . . . . . . 114--121
M. I. Freidlin Dirichlet's Problem for an Equation with
Periodic Coefficients Depending on a
Small Parameter . . . . . . . . . . . . 121--125
M. B. Nevel'son On the Behavior of the Invariant Measure
of a Diffusion Process with Small
Diffusion on a Circle . . . . . . . . . 125--131
O. P. Vinogradov On an Age-Dependent Branching Process 131--136
L. N. Bol'shev On M. Kadyrov's Random Numbers in J.
Janko's Statistical Tables . . . . . . . 136--138
A. P. Savchuk On Estimates for the Entropy of a
Language According to Shannon . . . . . 138--141
E. A. Nadaraya On Estimating Regression . . . . . . . . 141--142
D. M. Chibisov On Limit Distributions for Order
Statistics . . . . . . . . . . . . . . . 142--148
S. M. Vishik and
A. A. Kobrinskii and
A. L. Rosental' Separating Partitions for a Finite
Family of Measures . . . . . . . . . . . 148--149
I. V. Romanovskii On Evaluating Final States in Inventory
Processes . . . . . . . . . . . . . . . 149--156
F. V. Shirokov On I. D. Cherkasov's Paper ``On the
Transformation of a Diffusion Process to
a Wiener Process'' . . . . . . . . . . . 156--157
O. V. Viskov Two Asymptotic Formulas in the Theory of
Queues . . . . . . . . . . . . . . . . . 158--159
V. I. Arkin A Problem of Optimum Distribution of
Search Effort . . . . . . . . . . . . . 159--160
V. V. Sozanov Answer to a Question of R. L. Dobrushin 160--161
Anonymous Summary of Papers Presented at the
Meetings of the Probability and
Statistics Section of the Moscow
Mathematics Society (October 1962--April
1963) . . . . . . . . . . . . . . . . . 161--166
Anonymous Information Concerning the Symposium on
Limit Theorems . . . . . . . . . . . . . 167--167
Anonymous The Seventh All-Union Conference on
Probability Theory and Mathematical
Statistics . . . . . . . . . . . . . . . 167--168
I. Slivnyak Addendum: Some Properties of Stationary
Flows of Homogeneous Random Events . . . 168--168
Harald Cramér Stochastic Processes As Curves in
Hilbert Space . . . . . . . . . . . . . 169--179
M. Rosenblatt Equicontinuous Markov Operators . . . . 180--197
B. A. Sevast'yanov and
V. P. Chistyakov Asymptotic Normality in the Classical
Ball Problem . . . . . . . . . . . . . . 198--211
M. Rosenblatt-Roth The Concept of Entropy in Probability
Theory and Its Application in the Theory
of Information Transmission Through
Communication Channels . . . . . . . . . 212--235
S. P. Bobrov An Investigation of the Free Verse in
Pushkin's ``Songs of the Western Slavs'' 236--247
K. R. Parthasarathy The Central Limit Theorem for the
Rotation Group . . . . . . . . . . . . . 248--257
Petr Mandl Diffusion Processes with a Weakly
Absorbing Barrier . . . . . . . . . . . 258--267
V. M. Zolotarev On Asymptotically Best Constants in
Refinements of Mean Limit Theorems . . . 268--276
A. P. Cherenkov On Control by a Single Switching
Operation When Small Random
Perturbations are Present . . . . . . . 277--290
A. Kh. Zaslavskii On the Isomorphism Problem for
Stationary Processes . . . . . . . . . . 291--298
A. O. Gel'fond An Estimate for the Remainder Term in a
Limit Theorem for Recurrent Events . . . 299--303
A. A. Borovkov Remarks on Wiener's and Blackwell's
Theorems . . . . . . . . . . . . . . . . 303--312
V. V. Petrov On Local Limit Theorems for Sums of
Independent Random Variables . . . . . . 312--320
M. S. Nikol'skii On the Probability of a Markov Point
Falling into a Plane Region with Small
Diameter . . . . . . . . . . . . . . . . 320--325
I. N. Verbitskaya On Conditions for the Strong Law of
Large Numbers to be Applicable to Second
Order Stationary Processes . . . . . . . 325--331
R. S. Guter On the Probability of Detecting a Region
by a Linear Search . . . . . . . . . . . 331--333
I. M. Sobol' On Periods of Pseudo-Random Sequences 333--338
V. I. Babkin On the Distribution of the Position of
the Maxima of a Diffusion Process with
Variable Parameter . . . . . . . . . . . 338--342
Yu. N. Blagoveshchenskii Cauchy's Problem for Degenerate
Quasilinear Parabolic Equations . . . . 342--346
Yu. L. Shmul'yan Optimum Factorization of Non-Negative
Matrix Functions . . . . . . . . . . . . 346--350
T. L. Malevich The Asymptotic Behavior of an Estimate
for the Spectral Function of a
Stationary Gaussian Process . . . . . . 350--353
A. M. Vershik Some Characteristic Properties of
Gaussian Stochastic Processes . . . . . 353--356
Anonymous Summary of Papers Presented at the
Meetings of the Probability and
Statistics Section of the Moscow
Mathematical Society (November-December,
1963) . . . . . . . . . . . . . . . . . 356--359
A. A. Borovkov and
B. A. Rogozin Boundary Value Problems for Some
Two-Dimensional Random Walks . . . . . . 361--388
E. V. Bulinskaya Some Results Concerning Optimum
Inventory Policies . . . . . . . . . . . 389--403
Yu. A. Rozanov On Probability Measures in Functional
Spaces Corresponding to Stationary
Gaussian Processes . . . . . . . . . . . 404--420
A. M. Il'in and
R. Z. Khas'minskii On Equations of Brownian Motion . . . . 421--444
A. V. Skorokhod Branching Diffusion Processes . . . . . 445--449
B. A. Rogozin On the Distribution of the First Jump 450--465
V. G. Alekseev Some Methods for the Exact Determination
of a Parameter of a Gaussian Stochastic
Process . . . . . . . . . . . . . . . . 466--469
A. A. Beilinson On the Solution of a Probabilistic
Non-Equilibrium Problem for Distributed
Systems . . . . . . . . . . . . . . . . 469--472
S. A. Molchanov On a Problem in the Theory of Diffusion
Processes . . . . . . . . . . . . . . . 472--477
Yu. A. Rozanov On the Stability of Solutions of Linear
Problems for Stationary Processes . . . 477--479
V. N. Tutubalin Compositions of Measures on the Simplest
Nilpotent Group . . . . . . . . . . . . 479--487
A. P. Cherenkov A Problem of Parameter Control Involving
Small Random Perturbations . . . . . . . 487--488
P. F. Belyaev The Probability of Non-Occurrence of a
Given Number of Outcomes . . . . . . . . 489--494
A. A. Zinger and
Yu. V. Linnik On Polynomial Statistics for the Normal
and Related Laws . . . . . . . . . . . . 494--497
E. A. Nadaraya Some New Estimates for Distribution
Functions . . . . . . . . . . . . . . . 497--500
E. B. Yanovskaya Minimax Theorems for Games on the Unit
Square . . . . . . . . . . . . . . . . . 500--502
E. V. Bulinskaya Steady-State Solutions in Problems of
Optimum Inventory Control . . . . . . . 502--507
D. M. Chibisov On the Asymptotic Power of
Goodness-of-Fit Tests for Close
Alternative Hypotheses . . . . . . . . . 507--509
Anonymous Summary of Papers Presented at the
Meetings of the Mathematical Statistics
Seminar at the Mathematics Institute of
the Academy of Sciences, USSR, 1963 . . 509--513
B. A. Sevast'yanov and
V. P. Chistyakov Addendum: Asymptotic Normality in the
Classical Ball Problem . . . . . . . . . 513--514
Anonymous Reviews and Bibliography . . . . . . . . 515--520
B. A. Sevast'yanov Age-Dependent Branching Processes . . . 521--537
K. Krickeberg Convergence of Conditional Expectation
Operators . . . . . . . . . . . . . . . 538--549
A. A. Borovkov Some Limit Theorems in the Theory of
Mass Service . . . . . . . . . . . . . . 550--565
R. L. Dobrushin Investigation of Conditions for the
Asymptotic Existence of the
Configuration Integral of Gibbs'
Distribution . . . . . . . . . . . . . . 566--581
A. V. Skorokhod Boundary Conditions for Certain Markov
Processes . . . . . . . . . . . . . . . 582--590
Petr Mandl On the Control of Non-Terminating
Diffusion Processes . . . . . . . . . . 591--603
A. N. Shiryaev On Markov Sufficient Statistics in
Non-Additive Bayes Problems of
Sequential Analysis . . . . . . . . . . 604--618
L. N. Bol'shev Distributions Related to the
Hypergeometric Distribution . . . . . . 619--624
A. A. Zinger and
Yu. V. Linnik A Characteristic Property of the Normal
Distribution . . . . . . . . . . . . . . 624--626
I. A. Ibragimov On the Asymptotic Behavior of the
Prediction Error . . . . . . . . . . . . 627--634
E. Gyachyauskas Search by an Oval . . . . . . . . . . . 634--637
E. Gyachyauskas On Statistical Quadratures . . . . . . . 637--640
V. P. Chistyakov A Theorem on Sums of Independent
Positive Random Variables and Its
Applications to Branching Random
Processes . . . . . . . . . . . . . . . 640--648
V. P. Chistyakov On the Calculation of the Power of the
Test of Empty Boxes . . . . . . . . . . 648--653
V. M. Zolotarev The First Passage Time of a Level and
the Behavior at Infinity for a Class of
Processes with Independent Increments 653--662
N. G. Gamkrelidze On a Local Limit Theorem for Lattice
Random Variables . . . . . . . . . . . . 662--664
N. N. Vakhaniya On Normal Distributions in $ l_p $ . . . 665--665
N. V. Krylov and
A. A. Yushkevich On Markov Random Sets . . . . . . . . . 666--670
V. P. Kotel'nikov A Nomogram Connecting the Parameters of
Weibull's Distribution with
Probabilities . . . . . . . . . . . . . 670--674
V. I. Arkin Uniformly Optimal Strategies in Search
Problems . . . . . . . . . . . . . . . . 674--680
Anonymous Summary of Papers Presented at the
Meetings of the Probability and
Statistics Section of the Moscow
Mathematical Society (March-May, 1964) 681--687
E. B. Dynkin Controlled Random Sequences . . . . . . 1--14
V. N. Tutubalin On Limit Theorems for the Product of
Random Matrices . . . . . . . . . . . . 15--27
V. M. Zolotarev Asymptotic Behavior of the Distributions
of Processes with Independent Increments 28--44
N. V. Krylov The Construction of an Optimal Strategy
for a Finite Controlled Chain . . . . . 45--54
A. A. Borovkov and
B. A. Rogozin On the Multi-Dimensional Central Limit
Theorem . . . . . . . . . . . . . . . . 55--62
E. L. Presman On Waiting Time for Many-Server Queueing
Systems . . . . . . . . . . . . . . . . 63--73
Wolfgang Richter Limit Theorems for Sequences of Random
Variables with Sequences of Random
Indices . . . . . . . . . . . . . . . . 74--84
I. A. Ibragimov On the Spectrum of Stationary Gaussian
Sequences Satisfying the Strong Mixing
Condition I. Necessary Conditions . . . 85--106
Anonymous Yu. V. Linnik's Work in Probability
Theory and Mathematical Statistics . . . 107--119
I. V. Romanovskii Existence of an Optimal Stationary
Policy in a Markov Decision Process . . 120--122
I. A. Ibragimov A Class of Estimates for the Spectral
Function of a Stationary Sequence . . . 123--126
H. Cramér A Limit Theorem for the Maximum Values
of Certain Stochastic Processes . . . . 126--128
Peter Neumann Spectral Estimates of Stationary Random
Fields . . . . . . . . . . . . . . . . . 128--132
Yu M. Ryzhov Limit Theorems for Stationary Gaussian
Processes . . . . . . . . . . . . . . . 132--139
G. I. Ivchenko and
Yu. I. Medvedev Asymptotic Representations of Finite
Differences of a Power Function at an
Arbitrary Point . . . . . . . . . . . . 139--144
G. I. Ivchenko and
Yu. I. Medvedev Some Multidimensional Theorems on a
Classical Problem of Permutations . . . 144--149
V. P. Chistyakov and
I. I. Viktorova Asymptotic Normality in a Problem of
Balls when the Probabilities of Falling
into Different Boxes are Different . . . 149--154
Mao Shi-Sun Asymptotic Behavior of the Optimal
Probability of Error for the
Transmission of Information in a Channel
without Memory which is Symmetrical on
Pairs of Input Symbols for Small Rates
of Transmission . . . . . . . . . . . . 154--161
M. I. Freidlin A Note on the Generalized Solution of
the Dirichlet Problem . . . . . . . . . 161--164
S. V. Gol'din Limit Distributions for the Deviation of
the Zero of one Stationary Gaussian
Process from the Zero of Another Such
Process which is Stationarily Connected
with the Former . . . . . . . . . . . . 164--169
Yu. V. Prokhorov On the Long-Normal Distribution in
Geochemical Problems . . . . . . . . . . 169--173
L. N. Bol'shev On the Construction of Confidence Limits 173--177
R. Sh. Liptser and
A. N. Shiryaev A Bayesian Problem of Sequential Search
in Diffusion Approximation . . . . . . . 178--186
É. A. Nadaraya On Non-Parametric Estimates of Density
Functions and Regression Curves . . . . 186--190
Anonymous Reviews and Bibliography . . . . . . . . 190--192
R. L. Dobrushin Existence of a Phase Transition in
Two-Dimensional and Three-Dimensional
Ising Models . . . . . . . . . . . . . . 193--213
S. V. Nagaev Some Limit Theorems for Large Deviations 214--235
A. A. Borovkov and
V. S. Korolyuk On the Results of Asymptotic Analysis in
Problems with Boundaries . . . . . . . . 236--246
J. Wolfowitz Asymptotic Efficiency of the Maximum
Likelihood Estimator . . . . . . . . . . 247--260
G. P. Basharin A Single Server with a Finite Queue and
Items of Several Types . . . . . . . . . 261--274
E. G. Gladyshev On Stochastic Approximation . . . . . . 275--278
Ya. A. Kogan Application of Stochastic Equations to
the Study of the Second Boundary Value
Problem for Parabolic Differential
Equations with a Small Parameter . . . . 279--286
V. V. Petrov On the Probabilities of Large Deviations
for Sums of Independent Random Variables 287--298
V. F. Pisarenko On the Computation of the Likelihood
Ratio for Gaussian Processes with a
Rational Spectrum . . . . . . . . . . . 299--303
Yu. L. Daletskii and
S. V. Fomin Generalized Measures in Function Spaces 304--316
E. S. Shtatland On Local Properties of Processes with
Independent Increments . . . . . . . . . 317--322
L. Breiman On Some Limit Theorems Similar to the
Arc-Sin Law . . . . . . . . . . . . . . 323--331
A. A. Borovkov On the First Passage Time for One Class
of Processes with Independent Increments 331--334
I. N. Volodin On the Distinction between the Polya and
the Poisson Distributions when a Large
Number of Small Samples is Available . . 335--338
P. Martin-Löf The Continuity Theorem on a Locally
Compact Group . . . . . . . . . . . . . 338--341
M. N. Marushin Some Remarks on Convergence to a
Limiting Poisson Distribution . . . . . 341--344
J. Feldman Extending Complex Quasi-Measures . . . . 345--348
A. N. Shiryaev Some Exact Formulas in a ``Disorder''
Problem . . . . . . . . . . . . . . . . 348--354
M. G. Shur On the Maximum of a Gaussian Stationary
Process . . . . . . . . . . . . . . . . 354--357
Anonymous Summary of Papers Presented at the
Meetings of the Probability and
Statistics Section of the Moscow
Mathematical Society
(September-December, 1964) . . . . . . . 357--373
A. A. Borovkov Some Limit Theorems in the Theory of
Mass Service, II Multiple Channels
Systems . . . . . . . . . . . . . . . . 375--400
A. A. Borovkov Correction to A. A. Borovkov's paper
``Some Limit Theorems in the Theory of
Mass Service I'', Volume 9, Number 4,
1964 . . . . . . . . . . . . . . . . . . 400--400
K. E. Dambis On the Decomposition of Continuous
Submartingales . . . . . . . . . . . . . 401--410
V. F. Gaposhkin The law of the Iterated Logarithm for
Cesaro's and Abel's Methods of Summation 411--420
D. M. Chibisov An Investigation of the Asymptotic Power
of the Tests of Fit . . . . . . . . . . 421--437
Yu. V. Prokhorov On a Characterization of a Class of
Probability Distributions by
Distributions of Some Statistics . . . . 438--445
L. N. Bol'shev On a Characterization of the Poisson
Distribution and Its Statistical
Applications . . . . . . . . . . . . . . 446--456
T. L. Malevich Some Properties of Estimators of the
Spectrum of a Stationary Process . . . . 457--465
A. V. Skorokhod Absolute Continuity of Infinitely
Divisible Distributions under
Translations . . . . . . . . . . . . . . 465--472
V. M. Zolotarev On the Closeness of the Distributions of
Two Sums of Independent Random Variables 472--479
B. A. Rogozin On Some Classes of Processes with
Independent Increments . . . . . . . . . 479--483
E. S. Shtatland On the Distribution of the Maximum of a
Process with Independent Increments . . 483--487
M. P. Schaifer On the Second Moments of an Estimate for
the Spectral Function . . . . . . . . . 487--489
R. V. Ambartsumian On an Application of the Connection
between Brownian Motion and the
Dirichlet Problem . . . . . . . . . . . 490--493
V. M. Maksimov On the Relation between Limit Theorems
of Finite Groups and an Ergodic Theorem
for Markov Chains with Doubly Stochastic
Transition Matrices . . . . . . . . . . 493--496
P. F. Belyaev On the Probability of the Non-Appearance
of a Given Number of $s$-Tuples in
Compound Markov Chains . . . . . . . . . 496--499
V. I. Oseledets Markov Chains, Skew Products and Ergodic
Theorems for ``General'' Dynamic Systems 499--504
S. A. Ivankov On the Number of Repetitions in Markov
Chains . . . . . . . . . . . . . . . . . 505--507
S. G. Maloshevskii Limit Theorems for a Special Kind of
Random Walk . . . . . . . . . . . . . . 507--512
R. F. Mateev On the Asymptotic Solution of a System
of Linear Differential Equations with
Small Random Coefficients . . . . . . . 513--515
L. G. Afanas'eva Existence of a Limit Distribution in
Queueing Systems with Bounded Sojourn
Time . . . . . . . . . . . . . . . . . . 515--522
G. D. Kartashov and
A. N. Yavriyan On an Extremal Problem in Probability
Theory . . . . . . . . . . . . . . . . . 523--528
G. D. Kartashov On Determining a Functional Relation
between Random Variables . . . . . . . . 528--535
V. I. Arkin Some Extremal Problems Connected with
the Theory of Search . . . . . . . . . . 535--538
V. P. Chistyakov Addendum: Local Limit Theorems in the
Theory of Branching Stochastic Processes 538--539
R. F. Matveev Addendum: On the Asymptotic Solution of
a System of Linear Differential
Equations with Small Random Coefficients 540--540
B. I. Grigelionis and
A. N. Shiryaev Criteria of ``Truncation'' for the
Optimal Stopping Time in Sequential
Analysis . . . . . . . . . . . . . . . . 541--552
G. Kallianpur and
V. Mandrekar Multiplicity and Representation Theory
of Purely Non-Deterministic Stochastic
Processes . . . . . . . . . . . . . . . 553--581
V. A. Statulyavichus Limit Theorems for Densities and
Asymptotic Expansions for Distributions
of Sums of Independent Random Variables 582--595
A. V. Skorokhod and
N. P. Slobodenyuk Limit Theorems for Random Walks, I . . . 596--606
A. A. Zinger On a Class of Limit Distributions for
Normalized Sums of Independent Random
Variables. . . . . . . . . . . . . . . . 607--626
B. M. Gurevich Construction of Increasing Partitions
for Special Flows . . . . . . . . . . . 627--645
S. A. Aivazyan Distinguishing Neighboring Hypotheses
About Frequency Distributions in the
Scheme of the Generalized Probability
Ratio Test . . . . . . . . . . . . . . . 646--658
Yu. V. Linnik and
I. L. Romanovskaya and
O. V. Shalaevskii A Remark on the Theory of the
Fisher--Welch--Wald Test . . . . . . . . 659--662
A. D. Venttsel' On Functions which are Continuous Along
Trajectories of a Wiener Process . . . . 662--664
N. M. Vorob'ev On the Application of Sequential
Analysis to the Detection of Disorder in
a Manufacturing Process. . . . . . . . . 665--668
A. A. Beilinson On the Evolution of Distributed Systems
in the Presence of Density Fluctuations
on the Boundary . . . . . . . . . . . . 668--673
I. V. Ostrovskii The Multidimensional Analogue of Yu. V.
Linnik's Theorem on Decompositions of a
Convolution of Gaussian and Poisson Laws 673--677
V. I. Pagurova On the Evaluation of Quantiles of the $
\Gamma $-Distribution . . . . . . . . . 677--680
G. A. Mikhailov On Modelling Random Variables for One
Class of Distribution Laws . . . . . . . 681--682
Yu. P. Studnev A Remark on the Katz--Petrov Theorem . . 682--684
V. V. Sazonov On the Limiting Behavior of the Maximal
Probability in the Infinite Dimensional
Case . . . . . . . . . . . . . . . . . . 684--685
Ts. G. Khakhubiya A Lemma on Random Determinants and its
Application to the Characterization of
Multivariate Distributions . . . . . . . 685--689
E. L. Lehmann On the Non-Verifiability of Certain
Parametric Functions . . . . . . . . . . 689--691
Anonymous Summary of Reports Presented Aat the
Meetings of the Seminar on Mathematical
Statistics of the V. A. Steklov
Mathematical Institute of the Academy of
Sciences of the USSR, 1964 . . . . . . . 691--696
Anonymous Information on the Conference on Limit
Theorems in Probability Theory . . . . . 697--699
V. V. Sazonov and
V. N. Tutubalin Probability Distributions on Topological
Groups . . . . . . . . . . . . . . . . . 1--45
A. V. Skorokhod and
N. P. Slobodenyuk Limit Theorems for Random Walks. II . . 46--57
L. Weiss and
J. Wolfowitz Generalized Maximum Likelihood
Estimators . . . . . . . . . . . . . . . 58--81
L. N. Bol'shev and
E. A. Loginov Interval Estimates in the Presence of
Nuisance Parameters . . . . . . . . . . 82--94
V. M. Zolotarev An Absolute Estimate of the Remainder
Term in the Central Limit Theorem . . . 95--105
Yu. K. Belyaev On the Number of Intersections of a
Level by a Gaussian Stochastic Process.
I . . . . . . . . . . . . . . . . . . . 106--113
N. G. Gamkrelidze On the Speed of Convergence in the Local
Limit Theorem for Lattice Distributions 114--125
I. A. Ibragimov and
L. V. Osipov On an Estimate of the Remainder in
Lindeberg's Theorem . . . . . . . . . . 125--128
V. F. Kolchin The Speed of Convergence to Limit
Distributions in the Classical Ball
Problem . . . . . . . . . . . . . . . . 128--140
M. S. Nikol'skii On a Problem Posed by S. I. Vavilov . . 140--144
B. A. Rogozin Some Extremal Problems in the Theory of
Mass Service . . . . . . . . . . . . . . 144--151
Yu. A. Rozanov On the Densities of Gaussian
Distributions and Wiener--Hopf Integral
Equations . . . . . . . . . . . . . . . 152--160
H. Teicher Higher Moments of Randomly Stopped Sums 160--165
Ts. G. Khakhubiya On the Effectiveness of Distinguished
Detween Normal and Uniform Distributions
on the Basis of Small Samples . . . . . 166--172
Anonymous Summary of Reports Presented at Sessions
of the Probability and Statistics
Section of the Moscow Mathematical
Society (March-November 1965) . . . . . 172--186
P. Martin-Löf On the Concept of a Random Sequence . . 177--179
Anonymous Book Reviews . . . . . . . . . . . . . . 187--190
F. Knight A Pair of Conditional Normal Convergence
Theorems . . . . . . . . . . . . . . . . 191--210
R. Z. Has'minskii On Stochastic Processes Defined by
Differential Equations with a Small
Parameter . . . . . . . . . . . . . . . 211--228
M. G. Shur Markov Processes with Majorized Hitting
Probabilities . . . . . . . . . . . . . 229--248
O. Barndorff-Nielsen and
M. Sobel On the Distribution of the Number of
Admissible Points in a Vector Random
Sample . . . . . . . . . . . . . . . . . 249--269
I. I. Viktorova and
V. P. Chistyakov Some Generalizations of the Test of
Empty Boxes . . . . . . . . . . . . . . 270--276
A. D. Solov'ev A Combinatorial Identity and Its
Application to the Problem Concerning
the First Occurrence of a Rare Event . . 276--282
O. G. Zhuravlev Minimal Sufficient Statistics for a
Sequence of Independent Random Variables 282--291
G. M. Ginzburg On a Problem in S. N. Bernshtein's
Theory of Stochastic Differential
Equations . . . . . . . . . . . . . . . 291--294
K. Sh. Zigangirov On a Problem in Optimal Scanning . . . . 294--298
L. V. Osipov Refinement of Lindeberg's Theorem . . . 299--302
V. V. Rykov Markov Decision Processes with Finite
State and Decision Spaces . . . . . . . 302--311
J. M. Hammersley Subadditive Functional Expectations . . 311--313
Anonymous Reviews and Bibliography . . . . . . . . 314--319
V. V. Petrov Addendum: a remark on the Katz--Petrov
Theorem . . . . . . . . . . . . . . . . 320--320
V. M. Zolotarev Addendum: Asymptotic Behavior of the
Distributions of Processes with
Independent Increments . . . . . . . . . 320--321
Ya. A. Kogan Addendum: Application of Stochastic
Equations to the Study of the Second
Boundary Value Problem for Parabolic
Differential Equations with a Small
Parameter . . . . . . . . . . . . . . . 321--321
B. A. Sevast'yanov Addendum: Age-Dependent Branching
Processes . . . . . . . . . . . . . . . 321--322
Anonymous New Books . . . . . . . . . . . . . . . 323--324
S. M. Sadikova Two-Dimensional Analogues of an
Inequality of Esseen with Applications
to the Central Limit Theorem . . . . . . 325--335
A. V. Skorokhod On the Local Structure of Continuous
Markov Processes . . . . . . . . . . . . 336--372
N. V. Krylov On Quasi Diffusion Processes . . . . . . 373--389
R. Z. Khas'minskii A Limit Theorem for the Solutions of
Differential Equations with Random
Right-Hand Sides . . . . . . . . . . . . 390--406
M. I. Freidlin The Exterior Dirichlet Problem in the
Class of Bounded Functions . . . . . . . 407--414
D. I. Shparo Principles of Potential Theory and
Markov Chains . . . . . . . . . . . . . 415--424
N. N. Chentsov A Systematic Theory of Exponential
Families of Probability Distributions 425--435
Anonymous Nikolai Vasil'evich Smirnov . . . . . . 436--437
B. A. Rogozin Speed of Convergence of the Distribution
of the Maximum of Sums of Independent
Random Variables to a Limit Distribution 438--441
S. M. Sadikova Some Inequalities for Characteristic
Functions . . . . . . . . . . . . . . . 441--447
V. M. Zolotarev A Multidimensional Analogue of the
Berry--Esseen Inequality for Sets with
Bounded Diameter . . . . . . . . . . . . 447--454
V. V. Petrov On a Relation Between an Estimate of the
Remainder in the Central Limit Theorem
and the Law of the Iterated Logarithm 454--458
V. M. Maksimov On the Speed of Convergence of the
Convolution of Identical Distributions
Defined on a Finite Group . . . . . . . 458--463
N. N. Vakhaniya On Non-Degenerate Probability
Distributions in $ l_p $ Spaces $ (1
\leqq p < \infty) $ . . . . . . . . . . . 463--467
R. Sh. Liptser A Comparison of Linear and Nonlinear
Filtration of Some Markov Processes . . 467--472
S. M. Gusein-Zade The Problem of Choice and the Sptimal
Stopping Rule for a Sequence of
Independent Trials . . . . . . . . . . . 472--476
I. V. Korzhik A Method of Obtaining Estimates for the
Mathematical Expectation of Some
Function of the Components of an
$n$-Dimensional Random Vector . . . . . 476--480
L. N. Bol'shev On the Question of Testing for
``Exponentiality'' . . . . . . . . . . . 480--482
Yu. A. Rozanov Some Remarks on the Paper ``On Gaussian
Distribution Densities and Wiener--Hopf
Integral Equations'' . . . . . . . . . . 483--485
R. L. Dobrushin Addendum: Existence of a Phase
Transition in the Two-Dimensional and
Three-Dimensional Ising Models . . . . . 486--487
I. N. Sanov Addendum: a Method of Obtaining
Asymptotic Expressions for Probabilities
of Large Deviations of Nonlinear
Statistics from the Multinornial
Distribution and Its Applications, p.
662 . . . . . . . . . . . . . . . . . . 487--487
Anonymous Reviews and Bibliography . . . . . . . . 488--494
Anonymous New Books . . . . . . . . . . . . . . . 494--495
Yu. V. Linnik Approximate Minimax Detection of a
Vector Signal in Gaussian Noise . . . . 497--512
H. Kesten and
P. Ney and
F. Spitzer The Galton--Watson Process with Mean One
and Finite Variance . . . . . . . . . . 513--540
B. I. Grigelionis and
A. N. Shiryaev On Stefan's Problem and Optimal Stopping
Rules for Markov Processes . . . . . . . 541--558
I. A. Ibragimov On the Accuracy of Gaussian
Approximation to the Distribution
Functions of Sums of Independent
Variables . . . . . . . . . . . . . . . 559--579
B. A. Rogozin On Distributions of Functionals Related
to Boundary Problems for Processes with
Independent Increments . . . . . . . . . 580--591
K. R. Parthasarathy On a Problem in Random Walk . . . . . . 591--596
A. A. Borovkov Asymptotic Analysis of Service Systems 596--602
V. V. Sazonov On Multidimensional Concentration
Functions . . . . . . . . . . . . . . . 603--609
N. V. Krylov On Regular Boundary Points for Markov
Processes . . . . . . . . . . . . . . . 609--614
B. A. Sevast'yanov Limit Theorems in a Scheme for
Allocation of Particles in Cells . . . . 614--619
G. I. Ivchenko and
Yu. J. Medvedev Asymptotic Behavior of the Number of
Particle Complexes in a Classical
Allocation Problem . . . . . . . . . . . 619--626
V. A. Ryasin Optimal Single-Shot Correction for a
Model Problem . . . . . . . . . . . . . 626--632
I. N. Verbickaja On Conditions for the Applicability of
the Strong Law of Large Numbers to Wide
Sense Stationary Processes . . . . . . . 632--636
E. S. Shtatland The Distribution of the Time the Maximum
is Achieved for Processes with
Independent Increments . . . . . . . . . 637--642
A. A. Trukhachev Addendum: Tables of the Rayleigh--Rice
Distribution . . . . . . . . . . . . . . 642--642
M. Shur Addendum: Markov Processes with
Majorized Exit Probabilities . . . . . . 642--643
S. M. Ermakov Addendum: Polynomial Approximation and
the Monte--Carlo Method . . . . . . . . 643--643
V. G. Alekseev On the Asymptotic Properties of Some
Statistical Estimates for Gaussian
Stochastic Processes . . . . . . . . . . 1--8
E. V. Bulinskaya Optimum Inventory Policies with a Convex
Ordering Cost Function . . . . . . . . . 9--21
V. M. Kalinin Convergent and Asymptotic Expansions for
Probability Distributions . . . . . . . 22--35
A. M. Kagan and
V. P. Palamodov Incomplete Exponential Families and
Minimum-Variance Unbiased Estimators, I 36--46
I. N. Kovalenko On the Limit Distribution of the Number
of Solutions of a Random System of
Linear Equations in the Class of Boolean
Functions . . . . . . . . . . . . . . . 47--56
V. F. Kolchin Uniform Local Limit Theorem in the
Classical Ball Problem for a Case with
Varying Lattice . . . . . . . . . . . . 57--67
P. Mandl On the Control of a Wiener Process for a
Limited Number of Switchings . . . . . . 68--76
V. V. Sazanov On the Rate of Convergence in the
Multidimensional Central Limit Theorem 77--89
D. M. Chibisov A Theorem on Admissible Tests and Its
Application to an Asymptotic Problem of
Testing Hypotheses . . . . . . . . . . . 90--103
L. G. Afanas'eva and
A. V. Martynov On Ergodic Properties of Queues with
Constraints . . . . . . . . . . . . . . 104--109
I. B. Gertsbach On an Estimation of Parameters of a
Distribution with an Exponential Factor 110--111
S. N. Garabedyan and
I. V. Romanovskii Approximate Construction of Confidence
Intervals for Parameters of Markov
Chains . . . . . . . . . . . . . . . . . 112--115
I. A. Ibragimov On Maximum Likelihood Estimation of
Parameters of the Spectral Density of
Stationary Time Series . . . . . . . . . 115--119
G. P. Klimov and
L. S. Frank The Structure of a Stationary Renewal
Process . . . . . . . . . . . . . . . . 120--124
O. V. Sarmanov Remarks on Uncorrelated Gaussian
Dependent Random Variables . . . . . . . 124--126
B. A. Sevast'yanov Convergence of the Distribution of the
Number of Empty Boxes to Gaussian and
Poisson Processes in the Classical Ball
Problem . . . . . . . . . . . . . . . . 126--134
V. N. Tutubalin On Measures Whose Support is Generated
by a Lie Algebra . . . . . . . . . . . . 134--138
A. P. Cherenkov The Use of the Integral Functional for
some Control Methods in the Presence of
Small Random Perturbations . . . . . . . 139--143
R. Z. Khas'minskii Necessary and Sufficient Conditions for
the Asymptotic Stability of Linear
Stochastic Systems . . . . . . . . . . . 144--147
A. S. Kholevo Sequential Estimates of Parameters . . . 147--152
B. A. Sevast'yanov Asymptotic Behavior of the Probability
of Non-Extinction of a Critical
Branching Process . . . . . . . . . . . 152--154
Anonymous Review and Bibliography . . . . . . . . 154--156
Anonymous New Books . . . . . . . . . . . . . . . 157--157
A. A. Borovkov Convergence of Weakly Dependent
Processes to the Wiener Process . . . . 159--186
E. B. Dynkin General Boundary Conditions for
Denumberable Markov Processes . . . . . 187--221
A. V. Skorokhod Homogeneous Markov Processes without
Discontinuities of the Second Kind . . . 222--240
F. Topsòe On the Connection Between $P$-Continuity
and $P$-Uniformity in Weak Convergence 241--250
N. N. Vorob'yev Coalition Games . . . . . . . . . . . . 251--266
V. M. Maksimov Necessary and Sufficient Statistics for
the Family of Shifts of Probability
Distributions on Continuous BiCompact
Groups . . . . . . . . . . . . . . . . . 267--280
L. V. Osipov and
V. V. Petrov On an Estimate of the Remainder Term in
the Central Limit Theorem . . . . . . . 281--286
A. A. Yushkevich On a Limit Theorem for an Attrition Game 286--294
S. Natarajan and
T. E. S. Raghavan and
K. Viswanath On Stochastic Matrices and Kernels . . . 294--297
C. R. Heathcote and
E. Seneta and
D. Vere-Jones A Refinement of Two Theorems in the
Theory of Branching Processes . . . . . 297--301
G. V. Balakin On Random Matrices . . . . . . . . . . . 301--307
S. A. Molchanov On Martin Boundaries for the Direct
Product of Markov Chains . . . . . . . . 307--310
S. A. Molchanov Martin Boundaries for Invariant Markov
Processes on a Solvable Group . . . . . 310--314
A. V. Nagaev On Estimating the Expected Number of
Direct Descendants of a Particle in a
Branching Process . . . . . . . . . . . 314--320
Yu. M. Ryzhov Limit Theorems for Functionals of Sample
Functions of a Stationary Gaussian
Process . . . . . . . . . . . . . . . . 320--323
E. L. Presman Boundary Problems for Sums of Lattice
Random Variables, Defined on a Finite
Regular Markov Chain . . . . . . . . . . 323--328
A. L. Rozental' Some Generalisations of the Boundary
Value Problem with Oblique Derivative 329--333
T. P. Krasulina On the Robbins-Monro Procedure for the
Case of Several Roots . . . . . . . . . 333--337
Anonymous Summary of Papers Presented at the
Sessions of the Mathematical Statistics
Seminar of the Mathematics Institute of
the Academy of Sciences of the USSR
1965-1966 . . . . . . . . . . . . . . . 337--341
A. N. Shiryaev Addendum: On Stochastic Equations in the
Theory of Conditional Markov Processes 342--342
S. Sadikova Addendum: Some Inequalities for
Characteristic Functions . . . . . . . . 343--343
S. Sadikova Addendum: Two-Dimensional Analogues of
an Inequality of Esseen with
Applications to the Central Limit
Theorem . . . . . . . . . . . . . . . . 343--343
Anonymous New Books . . . . . . . . . . . . . . . 344--345
Yu. V. Linnik and
Yu. V. Prokhorov and
O. V. Shalaevskii On the Theory of Approximately Minimax
Detection of Signals in Gaussian Noise 347--363
N. M. Mitrofanova An Asymptotic Expansion for the Maximum
Likelihood Estimate of a Vector
Parameter . . . . . . . . . . . . . . . 364--372
K. R. Parthasarathy On the Imbedding of an Infinitely
Divisible Distribution in a
One-Parameter Convolution Semigroup . . 373--380
Yu. A. Rosanov On Gaussian Fields with Given
Conditional Distributions . . . . . . . 381--391
Yu. K. Belyaev On the Number of Level Crossings by a
Gaussian Stochastic Process, II . . . . 392--404
A. A. Borovkov On the Convergence to Diffusion
Processes . . . . . . . . . . . . . . . 405--431
G. N. Sytaya Limit Theorems for Some Functionals of
Random Walks . . . . . . . . . . . . . . 432--442
M. G. Shur Ergodic Theorems for a Class of Markov
Processes . . . . . . . . . . . . . . . 443--454
I. A. Ibragimov On the Chebyshev-Cramér Asymptotic
Expansions . . . . . . . . . . . . . . . 455--469
O. V. Sarmanov and
Z. N. Bratoeva Probabilistic Properties of Bilinear
Expansions of Hermite Polynomials . . . 470--481
E. B. Dynkin and
A. N. Kolgomorov and
P. T. Polyak and
M. I. Freidlin Igor' Vladimirovich Girsanov . . . . . . 482--486
M. I. Freidlin On Small (in the Weak Sense)
Perturbations in the Coefficients of a
Diffusion Process . . . . . . . . . . . 487--490
I. M. Sonin On a Class of Degenerate Diffusion
Processes . . . . . . . . . . . . . . . 490--496
G. L. Kulinic On the Limit Behavior of the
Distribution of the Solution of a
Stochastic Diffusion Equation . . . . . 497--499
N. I. Portenko Integral Equations and Limit Theorems
for Additive Functionals of a Markov
Process . . . . . . . . . . . . . . . . 500--505
V. M. Zolotarev On the Divisibility of Stable Laws . . . 506--508
Yu. P. Studnev and
Yu. I. Ignat Refinement of the Central Limit Theorem
and of Its Global Version . . . . . . . 508--512
A. M. Kagan and
O. V. Shalaevskii A Characterization of the Normal Law by
the Property of Partial Sufficiency . . 512--514
A. E. Zaslavskii On Statistical Tests for a Simple
Hypothesis Involving a Multi-Dimensional
Normal Distribution . . . . . . . . . . 514--519
I. N. Volodin The Number of Observations Needed to
Distinguish Between Two Closely Related
Hypotheses . . . . . . . . . . . . . . . 519--525
N. N. Vakhaniya and
N. P. Kandelski A Stochastic Integral for
Operator-Valued Functions . . . . . . . 525--528
A. D. Solov'ev Addendum: a Method for Obtaining
Estimates of the Expectation of a
Function of the Components of an
$n$-Dimensional Vector . . . . . . . . . 529--529
I. V. Ostrovskii Addendum: Multidimensional Analogue of
Yu. V. Linnik's Theorem on
Decompositions of a Convolution of
Gaussian and Poisson Laws . . . . . . . 529--530
Anonymous Reviews and Bibliography . . . . . . . . 531--532
Anonymous New Books . . . . . . . . . . . . . . . 533--533
R. L. Doerushin and
R. A. Minlos Existence and Continuity of Pressure in
Classical Statistical Physics . . . . . 535--559
N. N. Chentsov On Estimating an Unknown Mean of a
Multivariate Normal Distribution . . . . 560--574
A. A. Borovkov Boundary-Value Problems for Random Walks
and Large Deviations in Function Spaces 575--595
I. A. Ibragimov The Central Limit Theorem for Sums of
Functions of Independent Variables and
Sums of the Form $ \sum {f(2^k t)} $ . . 596--607
V. M. Zolotarev A Generalization of the
Lindeberg--Feller Theorem . . . . . . . 608--618
V. M. Maksimov On the Convergence of Products of
Independent Random Variables Taking on
Values from an Arbitrary Finite Group 619--637
D. S. Apokorin Gaussian Measures Corresponding to
Generalized Stationary Processes . . . . 638--646
Z. A. Piranashvili On the Problem of Interpolation of
Random Processes . . . . . . . . . . . . 647--657
G. N. Boganik On the Determination of the Order of a
Parabolic Regression Equation . . . . . 658--666
N. N. Vakhaniya A Probabilistic Problem for the
One-Dimensional Heat Equation . . . . . 666--667
Yu. P. Studnev Some Generalizations of Limit Theorems
in Probability Theory . . . . . . . . . 668--672
A. M. Kagan and
A. L. Rukhin On the Estimation of a Scale Parameter 672--678
P. F. Belyaev On the Distribution of the Statistic of
the Most Powerful Test for Two Simple
Hypotheses on a Compound Markov Chain 678--682
G. M. Molchan On Some Problems Concerning Brownian
Motion in Lévy's Sense . . . . . . . . . 682--690
V. I. Rotar' On Moments of the Value and the Time of
the First Passage over a Curvilinear
Boundary . . . . . . . . . . . . . . . . 690--695
A. L. Rukhin The Complex Normal Distribution and
Admissibility of the Sample Average as
an Estimate of a Location Parameter . . 695--697
R. Sh. Liptser On Filtration and Prediction of
Components in Diffusion Markov Processes 697--698
Anonymous Summary of Reports Presented at the
Sessions of the Probability and
Statistics Section of the Moscow
Mathematical Society (December
1966--April 1967) . . . . . . . . . . . 698--705
A. D. Venttsel' On the Absolute Continuity of Transition
Probabilities of Multidimensional
Generalized Brownian Motion . . . . . . 1--14
R. Sh. Liptser and
A. N. Shiryaev The Extrapolation of Multidimensional
Markov Processes from Incomplete Data 15--38
W. J. Bühler Some Results on the Behavior of
Branching Processes . . . . . . . . . . 52--64
V. N. Tutubalin Approximation of Probability Measures in
Variation and Products of Random
Matrices . . . . . . . . . . . . . . . . 65--83
B. P. Kharlamov On Properties of Branching Processes
with an Arbitrary Set of Particle Types 84--98
E. Lukacs Contributions to a Problem of D. van
Dantzig . . . . . . . . . . . . . . . . 116--127
John Lamperti and
Peter Ney Conditioned Branching Processes and
Their Limiting Diffusions . . . . . . . 128--139
G. N. Dyubin On Games in the Unit Square with a
``Roof'' Payoff . . . . . . . . . . . . 140--151
E. B. Dynkin Sufficient Statistics for the Optimal
Stopping Problem . . . . . . . . . . . . 152--153
E. A. Morozova and
N. N. Chentsov P. Lévy's Random Fields . . . . . . . . . 153--156
A. A. Borovkov Some Inequalities for Sums of
Multidimensional Random Variables . . . 156--160
S. V. Nagaev An Estimation of the Rate of Convergence
for Absorption Probability in Case of
Zero Expectation . . . . . . . . . . . . 160--164
S. M. Sadikova On the Multidimensional Central Limit
Theorem . . . . . . . . . . . . . . . . 164--170
M. G. Shur On the Martin Boundary for a Class of
Markov Processes . . . . . . . . . . . . 170--174
N. G. Gamkrelidze On the Connection between the Local and
the Integral Theorem for Lattice
Distributions . . . . . . . . . . . . . 174--179
A. A. Borovkov On Service Processes in Multichannel
Systems . . . . . . . . . . . . . . . . 179--181
B. M. Gurevich The Local Limit Theorem for Markov
Chains and Regularity Conditions . . . . 182--188
Anonymous Reviews and Bibliography . . . . . . . . 193--194
P. L. Dobruschin The Description of a Random Field by
Means of Conditional Probabilities and
Conditions of Its Regularity . . . . . . 197--224
P. Jagers Age-Dependent Branching Processes
Allowing Immigration . . . . . . . . . . 225--236
B. A. Sevast'yanov Limit Theorems for Age-Dependent
Branching Processes . . . . . . . . . . 237--259
Yu. V. Prokhorov An Extension of S. N. Bernstein's
Inequalities to Multidimensional
Distributions . . . . . . . . . . . . . 260--267
A. V. Prokhorov On Multidimensional Analogues of S. N.
Bernstein's Inequalities . . . . . . . . 268--280
V. M. Zolotarev Some Remarks on Multidimensional
Bernstein--Kolmogorov-Type Inequalities 281--286
V. M. Maksimov Necessary and Sufficient Convergence
Conditions for the Convolution of
Non-Identical Distributions Given on a
Finite Group . . . . . . . . . . . . . . 287--298
Hoang Huu Nhu On the Stability of Certain
Characterizations of a Normal Population 299--304
M. Iosifescu The Law of the Iterated Logarithm for a
Class of Dependent Random Variables . . 304--313
M. Arató Evaluation of the Confidence Limits for
the ``Decay'' Parameter of a Complex
Stationary Gaussian Markov Process . . . 314--320
Yu. K. Belyaev On the Number of Exits Across the
Boundary of a Region by a Vector
Stochastic Process . . . . . . . . . . . 320--324
Z. A. Ivkovich On Linear Approximation of Random
Processes in the Case of Random
Observation . . . . . . . . . . . . . . 324--326
D. I. Shparo On Some Methods of Completion of the
Phase Space of a Markov Chain . . . . . 327--329
S. A. Pirogov Probabilities of Compound Events and
Linear Programming . . . . . . . . . . . 329--332
V. M. Kryglov A Local Limit Theorem for
Non-Identically Distributed Random
Variables . . . . . . . . . . . . . . . 332--334
Wolfgang Richter On Ergodicity of Sequences of Sums . . . 334--338
D. J. Daley and
P. A. P. Moran Two-Sided Inequalities for Waiting Time
and Queue Size Distributions in $ G I /
G / 1 $ . . . . . . . . . . . . . . . . 338--341
G. M. Maniya Quadratic Error in Estimating
Multidimensional Normal Distribution
Densities from Sample Data . . . . . . . 341--343
Ya. A. Kogan On Optimal Control by a Random Time
Substitution in a Continuous Markov
Process . . . . . . . . . . . . . . . . 343--345
O. P. Vinogradov The Problem of the Distribution of the
Maximal Queue Size and Its Application 346--353
M. I. Freidlin On the Factorization of Non-Negative
Definite Matrices . . . . . . . . . . . 354--356
Anonymous New Books . . . . . . . . . . . . . . . 357--358
A. A. Borokov and
N. M. Sycheva On Asymptotically Optimal Non-Parametric
Criteria . . . . . . . . . . . . . . . . 359--393
V. M. Adamyan and
D. Z. Arov A General Solution of a Problem in
Linear Prediction of Stationary
Processes . . . . . . . . . . . . . . . 394--407
V. V. Petrov Asymptotic Behavior of Probabilities of
Large Deviations . . . . . . . . . . . . 408--420
V. F. Gaposhkin On the Speed of Convergence to the
Gaussian Law of Weighted Sums of Gap
Series . . . . . . . . . . . . . . . . . 421--437
A. V. Prokhorov S. N. Bernstein's Inequalities in the
Multidimensional Case . . . . . . . . . 438--447
D. V. Gusak and
V. S. Koralyuk On the First Passage Time Across a Given
Level for Processes with Independent
Increments . . . . . . . . . . . . . . . 448--456
A. Pázman The Sequential Design of Experiments
Performed at Several Measurement Points 457--467
E. B. Dynkin and
A. A. Yushkevich On the Starting Points of Incursions of
Markov Processes . . . . . . . . . . . . 468--470
S. A. Molchanov Strong Feller Property of Diffusion
Processes on Smooth Manifolds . . . . . 471--475
V. E. Benes and
L. A. Shepp Wiener Integrals Associated with
Diffusion Processes . . . . . . . . . . 475--478
G. L. Kulinich Limit Distributions of a Solution of a
Stochastic Diffusion Equation . . . . . 478--482
B. A. Rogozin Local Behavior of Processes with
Independent Increments . . . . . . . . . 482--486
V. N. Tutubalin On Random Walk in the Lobachevsky Plane 487--490
V. M. Ashurov On Filtration of Markov Chains on a
Finite Group . . . . . . . . . . . . . . 490--494
S. G. Maloshevskii Sharpness of an Estimate of N. A.
Sapogov in the Stability Problem of
Cramér's Theorem . . . . . . . . . . . . 494--496
A. V. Prokhorov Inequalities for Bessel Functions of a
Purely Imaginary Argument . . . . . . . 496--501
M. I. Taksar On a Property of a Sequence of Events 501--504
Yu. V. Bolotnikov Limit Processes in a Model of
Distribution of Particles into Cells
with Unequal Probabilities . . . . . . . 504--511
T. Yu. Popova Limit Theorems in a Model of
Distribution of Particles of Two Types 511--516
D. V. Senchenko On Characteristics of Non-Homogeneous
Markov Processes with a Finite Number of
States . . . . . . . . . . . . . . . . . 517--522
E. I. Vilkas The Axiomatic Definition of Equilibrium
Points and the Value of a
Non-Coalitional $n$-Person Game . . . . 523--527
V. I. Pagurova On a Comparison of Means of Two Normal
Samples . . . . . . . . . . . . . . . . 527--534
Anonymous Summaries of Reports Presented at the
Sessions of the Probability and
Statistics Society of the Moscow
Mathematical Society (October--December
1967) . . . . . . . . . . . . . . . . . 535--539
Anonymous Summaries of Reports Presented at the
Sessions of the Probability and
Statistics Seminar of the Mathematics
Institute of the Academy of Sciences of
the USSR . . . . . . . . . . . . . . . . 539--544
Anonymous New Books . . . . . . . . . . . . . . . 545--546
S. V. Nagaev Some Renewal Theorems . . . . . . . . . 547--563
R. Sh. Liptser and
A. N. Shiryaev Non-Linear Interpolation of Components
of Markov Diffusion Processes (Direct
Equations, Effective Formulas) . . . . . 564--583
B. A. Egorov and
Yu. I. Maksimov On a Sequence of Random Variables, with
Values in a Compact Commutative Group 584--593
G. V. Balakin The Distribution of the Rank of Random
Matrices over a Finite Field . . . . . . 594--605
M. Kh. Reznik The Law of the Iterated Logarithm for
Some Classes of Stationary Processes . . 606--621
L. Weiss and
J. Wolfowitz Generalized Maximum Likelihood
Estimators in a Particular Case . . . . 622--627
A. Charnes and
M. J. L. Kirby and
W. M. Raike Zero-Zero Chance-Constrained Games . . . 628--646
A. F. Kushnir Asymptotically Optimal Tests for a
Regression Problem of Testing Hypotheses 647--666
B. A. Rogozin On the Existence of Exact Upper
Sequences . . . . . . . . . . . . . . . 667--672
E. B. Dynkin On Extensions of a Markov Process . . . 672--676
J. Bretagnolle and
D. Dacunha-Castelle Pointwise Recurrence of Processes with
Independent Increments . . . . . . . . . 677--682
I. G. Zhurbenko Moments of Random Determinants . . . . . 682--686
V. A. Epanechnikov The Significance Level and Power of the
Two-Sided Kolmogorov Test in the Case of
Small Sample Sizes . . . . . . . . . . . 686--690
Yu. A. Davydov Convergence of Distributions Generated
by Stationary Stochastic Processes . . . 691--696
V. M. Zolotarev On the Problem of Stability of the
Decomposition of the Normal Law into
Components . . . . . . . . . . . . . . . 697--700
Yu. P. Studnev Some Properties of Accompanying Laws for
Symmetric Distribution Functions . . . . 701--703
I. A. Ibragimov and
V. N. Solev The Asymptotic Behavior of the
Prediction Error of a Stationary
Sequence with a Spectral Density of
Special Type . . . . . . . . . . . . . . 703--707
Yu. V. Linnik and
V. L. Eidlin Remark on Analytic Transformations of
Normal Vectors . . . . . . . . . . . . . 707--710
E. B. Dynkin Addendum: Sufficient Statistics for the
Optimal Stopping Problem . . . . . . . . 711--711
V. I. Korzhik Addendum: a Method for Obtaining
Estimates for the Mathematical
Expectation of Some Function of the
Components of an $n$-Dimensional Random
Vector . . . . . . . . . . . . . . . . . 711--711
P. Yagers Addendum: Age-Dependent Branching
Processes Allowing Immigration . . . . . 711--711
Anonymous Reviews and Bibliography . . . . . . . . 712--714
Anonymous New Books . . . . . . . . . . . . . . . 715--715
I. I. Ezhov and
A. V. Skorokhod Markov Processes with Homogeneous Second
Component. I . . . . . . . . . . . . . . 1--13
D. V. Gusak On the Joint Distribution of the First
Exit Time and Exit Value for Homogeneous
Processes With Independent Increments 14--23
Nora Smiriga An Integral Representation of a
Continuous Linear Stochastic Process
with Independent Pieces . . . . . . . . 24--34
M. B. Nevel'son On the Problem of Recurrence and
Ergodicity of a Gaussian Markov Process 35--43
B. P. Kharlamov On the Generation Numbers of Particles
in a Branching Process with Overlapping
Generations . . . . . . . . . . . . . . 44--50
A. V. Nagaev Integral Limit Theorems Taking Large
Deviations into Account when Cramér's
Condition Does Not Hold. I . . . . . . . 51--64
V. E. Stepanov On the Distribution of the Number of
Vertices in Strata of a Random Tree . . 65--78
A. S. Kholevo On Estimates of Regression Coefficients 79--104
L. G. Afanas'eva and
A. V. Martynov Ergodic Properties of Queueing Systems
with Bounded Sojourn Time . . . . . . . 105--114
Anonymous Sergei Natanovich Bernshtein . . . . . . 115--123
A. V. Skorokhod On an Inversion Formula for Fourier
Transformation in Hilbert Space . . . . 124--128
S. A. Molchanov and
E. Ostrovskii Symmetric Stable Processes as Traces of
Degenerate Diffusion Processes . . . . . 128--131
V. L. Mazo A Fine Topology on the Entrance Boundary 132--135
G. Licea On Supermartingales with Partially
Ordered Parameter Set . . . . . . . . . 135--137
M. I. Freidlin On Degenerating Elliptic Equations . . . 137--141
V. B. Kolmanovskii Ergodic Properties of Stationary
Solutions of Stochastic Differential
Equations . . . . . . . . . . . . . . . 141--146
R. V. Polovin and
V. V. Rozhkov Partial Differential Equations with
Random Characteristics . . . . . . . . . 146--149
V. A. Epanechnikov Non-Parametric Estimation of a
Multivariate Probability Density . . . . 153--158
G. V. Martynov Linear Binary Two-Sample Tests for Shift
Alternatives . . . . . . . . . . . . . . 158--163
M. L. Puri and
P. K. Sen On the Asymptotic Normality of One
Sample Rank Order Test Statistics . . . 163--167
I. L. Romanovskaya A Remark on Wald's Sequential
Probability Ratio Test . . . . . . . . . 167--170
B. I. Devyatov Limits of Admissibility of Normal
Approximations to the Poisson
Distribution . . . . . . . . . . . . . . 170--173
T. L. Malevich On the Asymptotic Efficiency of
Least-Squares Estimates of Regression
Coefficients . . . . . . . . . . . . . . 173--175
Anonymous Reviews and Bibliography . . . . . . . . 176--180
Anonymous New Books . . . . . . . . . . . . . . . 181--181
V. V. Petrov On the Strong Law of Large Numbers . . . 183--192
A. V. Nagaev Integral Limit Theorems Taking Large
Deviations Into Account When Cramér's
Condition Does Not Hold. II . . . . . . 193--208
G. K. Eagleson Canonical Expansions of Birth and Death
Processes . . . . . . . . . . . . . . . 209--218
Yu. I. Kruopis On Estimates of Transition Intensities
With Migration . . . . . . . . . . . . . 219--228
Yu. M. Ryzhov Limit Distributions of Some Functionals
of a Stationary Gaussian Process . . . . 229--243
B. G. Pittel On Asymptotic Estimates in a Dynamic
Decision-Making Problem . . . . . . . . 244--262
M. G. Shur Behavior of Coexcessive Functions Near
the Martin Boundary. I . . . . . . . . . 263--278
Yu. I. Kifer Optimal Strategy in Games with an
Unbounded Sequence of Moves . . . . . . 279--286
T. L. Malevich Asymptotic Normality of the Number of
Crossings of Level Zero by a Gaussian
Process . . . . . . . . . . . . . . . . 287--295
Yu. K. Belyaev and
V. P. Nosko Characteristics of Excursions above a
High Level for a Gaussian Process and
Its Envelope . . . . . . . . . . . . . . 296--309
P. Whittle Refinements of Kolmogorov's Inequality 310--311
I. V. Ostrovskii On a Problem of C. R. Rao . . . . . . . 312--313
V. N. Tutubalin Some Theorems of the Type of the Strong
Law of Large Numbers . . . . . . . . . . 313--319
I. N. Volodin On the Number of Observations Required
to Test Two Hypotheses for the Binomial
Distribution Parameter . . . . . . . . . 320--324
P. F. Belyaev On the Problem of the Joint Distribution
of Frequencies of $s$-Chains in Compound
Markov Chains with a Large Number of
States . . . . . . . . . . . . . . . . . 324--330
N. V. Krylov On Itô's Stochastic Integral Equations 330--336
B. I. Selivanov Some Explicit Formulas in the Theory of
Branching Random Processes with Discrete
Time and One Type of Particles . . . . . 336--342
V. M. Dubner The Distribution of the Eigenvalues of
Random Cyclic Matrices . . . . . . . . . 342--344
V. I. Klyatskin and
V. I. Tatarskii Probability Distribution of the Area
Bounded by a Gaussian Random Contour . . 344--349
R. N. Miroshin An Asymptotic Estimate for the
Probability That a Gaussian Stochastic
Process Remains Below the Line $ k t + a
$ . . . . . . . . . . . . . . . . . . . 349--354
E. A. Begovatov A Statistical Integral for a Gaussian
Process . . . . . . . . . . . . . . . . 354--356
Ya. P. Lumel'skii and
P. N. Sapozhnikov Unbiased Estimates of Density Functions 357--364
Ya. P. Lumel'skii Confidence Limits for Linear Functions
of Unknown Parameters . . . . . . . . . 364--367
Anonymous Reviews and Bibliography . . . . . . . . 368--369
Anonymous New Books . . . . . . . . . . . . . . . 370--371
V. E. Stepanov Combinatorial Algebra and Random Graphs 373--399
D. V. Gusak and
V. S. Korolyuk On the Joint Distribution of a Process
with Stationary Increments and Its
Maximum . . . . . . . . . . . . . . . . 400--409
E. A. Pecherskii and
B. A. Rogozin On Joint Distributions of Random
Variables Associated with Fluctuations
of a Process with Independent Increments 410--423
M. G. Shur Behavior of Coexcessive Functions Near
the Martin Boundary. II . . . . . . . . 424--431
B. P. Kharlamov The Numbers of Generations in a
Branching Process with an Arbitrary Set
of Particle Types . . . . . . . . . . . 432--449
L. V. Osipov Asymptotic Expansions of the
Distribution Function of a Sum of
Independent Lattice Random Variables . . 450--457
V. F. Kolchin On the Limiting Behavior of Extreme
Order Statistics in a Polynomial Scheme 458--469
M. A. Fedotkin An Analysis of the Statistical Stability
of Traffic Flow at an Intersection
Controlled by a Feedback Automaton . . . 470--480
A. Bikyalis Asymptotic Expansions for Distributions
of Sums of Identically Distributed
Independent Lattice Random Variables . . 481--489
A. Bikyalis An Asymptotic Expansion of the Product
of Multivariate Characteristic Functions 490--492
V. F. Gaposhkin On the Law of the Iterated Logarithm for
Strongly Multiplicative Systems . . . . 493--496
Ya. A. Kogan On Optimal Control of a Non-Terminating
Diffusion Process with Reflection . . . 496--502
M. Pinsky A Note on Degenerate Diffusion Processes 502--506
G. N. Sytaya On Admissible Displacements of Suspended
Gaussian Measures . . . . . . . . . . . 506--509
Yu. D. Popov and
M. I. Yadrenko Some Questions of Spectral Theory for
Homogeneous and Isotropic Random Fields 510--517
P. F. Belyaev On the Joint Distribution of Frequencies
of Long $s$-Cycles in a Multinomial
Scheme with Equiprobable Events . . . . 517--521
T. P. Krasulina On Stochastic Approximation Processes
with Infinite Variance . . . . . . . . . 522--526
B. Z. Doktorov Some Estimators for the Multidimensional
Normal Distribution . . . . . . . . . . 526--528
B. A. Rogozin A Remark on a Theorem Due to W. Feller 529--529
Anonymous Summaries of Papers Presented at the
Sessions of the Probability and
Statistics Section of the Moscow
Mathematical Society (February--December
1968) . . . . . . . . . . . . . . . . . 530--533
A. V. Nagaev Addendum: Integral Limit Theorems Taking
Large Deviations into Account when
Cramer's Condition Does Not Hold . . . . 534--534
V. N. Tutubalin An Investigation of Some Mathematical
Models for Radio Waveguides with Random
Irregularities . . . . . . . . . . . . . 547--566
G. Kallianpur and
C. Striebel Stochastic Differential Equations
Occurring in the Estimation of
Continuous Parameter Stochastic
Processes . . . . . . . . . . . . . . . 567--594
G. D. Kartashov On Some Probabilistic Problems in
Reliability Theory with Constraints . . 595--611
V. E. Stepanov Limit Distributions of Certain
Characteristics of Random Mappings . . . 612--626
A. O. Pittenger Comments on Dynkin's Boundary Conditions
for Continuous-Time Markov Chains . . . 627--639
V. V. Sazanov An Improvement of a Convergence-Rate
Estimate . . . . . . . . . . . . . . . . 640--651
I. I. Ezhov and
A. V. Skorokhod Markov Processes with Homogeneous Second
Component, II . . . . . . . . . . . . . 652--667
S. S. Vallander and
I. A. Ibragimov and
N. G. Lindtrop On Limit Distributions of Absolute
Values of Consecutive Differences of
Independent Variables . . . . . . . . . 668--681
V. B. Nevzorov and
V. V. Petrov On the Distribution of the Maximum
Cumulative Sum of Independent Random
Variables . . . . . . . . . . . . . . . 682--687
Yu. Yu. Machis On the Stability of Decompositions of
the Unit Distribution Function . . . . . 688--690
J. A. Williamson and
G. S. Rinehart Remarks on the Periodic Behavior in Time
of Sums of Random Variables . . . . . . 690--693
V. A. Egorov On the Law of the Iterated Logarithm . . 693--699
D. Kh. Mushtari On a Problem of Laurent Schwartz and on
the Realization of $ l_p $ Spaces by
Spaces of Random Variables . . . . . . . 699--701
S. M. Gusein-Zade On a Game Connected with the Wiener
Process . . . . . . . . . . . . . . . . 701--704
G. I. Kalmykov Semiordering of the Probabilities of the
First Passage Time of Markov Processes 704--710
A. G. Fakeev On Necessary Conditions for Optimality
in Sequential Decision Problems . . . . 710--713
E. B. Frid The Optimal Stopping Rule for a
Two-Person Markov Chain with Opposing
Interests . . . . . . . . . . . . . . . 713--716
Anonymous Summary of the Reports Presented at the
Sessions of the Seminar on the Theory of
Probability and Mathematical Statistics
at the Mathematical Institute of the
Academy of Science of the USSR . . . . . 716--725
S. V. Nagaev Addendum: Some Renewal Theorems . . . . 726--726
Anonymous New Books . . . . . . . . . . . . . . . 727--728
G. Maruyama Infinitely Divisible Processes . . . . . 1--22
I. A. Ibragimov On the Spectrum of Stationary Gaussian
Sequences Satisfying the Strong Mixing
Condition. II. Sufficient Conditions.
Mixing Rate . . . . . . . . . . . . . . 23--36
E. B. Dynkin Excessive Functions and the Exit Space
of a Markov Process . . . . . . . . . . 37--54
V. E. Stepanov On the Probability of Connectedness of a
Random Graph $ \mathcal {G}_m (t) $ . . 55--67
R. N. Bhattacharya Rates of Weak Convergence for the
Multidimensional Central Limit Theorem 68--86
D. A. Moskvin and
L. P. Postnikova and
A. A. Yudin An Arithmetic Method for Obtaining Local
Limit Theorems for Lattice Random
Variables . . . . . . . . . . . . . . . 87--97
A. V. Nagaev and
A. N. Startsev The Asymptotic Analysis of a Stochastic
Model of an Epidemic . . . . . . . . . . 98--107
V. V. Yurinskii On an Infinite-Dimensional Version of S.
N. Bernstein's Inequalities . . . . . . 108--109
M. G. Shur Some Remarks on Adjoint Markov Processes 109--115
S. A. Ivankov Carleman's Classes for Random Processes 115--117
Takeyuki Hida Harmonic Analysis on the Space of
Generalized Functions . . . . . . . . . 117--122
V. G. Alekseev On the Estimation of Parameters of a
Gaussian Random Process . . . . . . . . 122--128
V. P. Artamonovskii and
Kh. B. Kordonskii Estimate of Maximum Likelihood for
Simplest Grouping of Data . . . . . . . 128--132
D. Shagdar An Unbiased Estimate with Minimal
Variance in the Class of Linear
Estimates . . . . . . . . . . . . . . . 132--133
É A. Nadaraya Remarks on Non-Parametric Estimates for
Density Functions and Regression Curves 134--137
G. A. Mikhailov On a Class of Monte Carlo Estimators . . 137--138
T. A. Zamanov An Approximate Solution of Stochastic
Differential Equations with Retarded
Argument . . . . . . . . . . . . . . . . 139--142
V. A. Malyshev and
A. I. Pinskii Optimality of Homogeneous Control in a
Problem of Reliability Theory . . . . . 142--146
A. P. Cherenkov The Two-Component Case in the Control by
Single Switching . . . . . . . . . . . . 147--148
O. Bunke Non-Parametric Decision Functions with
Asymptotic Minimax Optimality . . . . . 148--153
E. B. Yanovskaya The Solution of Infinite Zero-Sum
Two-Person Games with Finitely Additive
Strategies . . . . . . . . . . . . . . . 153--158
Anonymous Soviet-Japanese Symposium on the Theory
of Probability . . . . . . . . . . . . . 159--159
M. Iosifesu Addendum: The Law of the Iterated
Logarithm for a Class of Dependent
Random Variables . . . . . . . . . . . . 160--160
Ya. A. Kogan Addendum: On Optimal Control of a
Non-Stopped Diffusion Process with
Reflection . . . . . . . . . . . . . . . 161--161
Anonymous New Books . . . . . . . . . . . . . . . 162--162
S. V. Nagaev On the Speed of Convergence in a
Boundary Problem. I . . . . . . . . . . 163--186
V. E. Stepanov Phase Transitions in Random Graphs . . . 187--203
Yu. K. Belyaev and
V. I. Piterbarg Generalized Flows with Finite Memory . . 204--214
V. M. Maksimov Random Processes with Independent
Increments with Values in an Arbitrary
Finite Group . . . . . . . . . . . . . . 215--228
D. A. Moskvin On the Asymptotic Behavior of Large
Deviation Probabilities for the Sums $
\Sigma f(x 2^n) $ . . . . . . . . . . . 229--240
V. P. Chistyakov Some Limit Theorems for Branching
Processes with Immigration . . . . . . . 241--257
M. Sreehari On a Class of Limit Distributions for
Normalized Sums of Independent Random
Variables . . . . . . . . . . . . . . . 258--281
M. Kh. Zakhar-Itkin A Multi-Wave Transmission Line with
Random Inhomogeneities and Brownian
Motion in Siegel's Circle . . . . . . . 282--294
I. A. Ibragimov and
Yu. A. Rozanov On the Connection between Two
Characteristics of Dependence of
Gaussian Random Vectors . . . . . . . . 295--299
L. N. Bol'shev and
V. M. Zolotarev and
E. S. Kedrova and
M. A. Rybinskaya Tables of Cumulative Functions of
One-Sided Stable Distributions . . . . . 299--309
S. V. Nagaev On the Speed of Convergence of the
Distribution of Maximum Sums of
Independent Random Variables . . . . . . 309--314
I. P. Tsaregradskii On a Problem of Search by Networks . . . 315--319
V. M. Kruglov A Note on Infinitely Divisible
Distributions . . . . . . . . . . . . . 319--324
A. G. Fakeev Optimal Stopping Rules for Stochastic
Processes with Continuous Parameter . . 324--331
G. P. Chistyakov A Generalization of Theorems Due to H.
Cramér and Yu. V. Linnik--V. P. Skitovic 331--336
D. Kh. Mustari On Almost Sure Convergence in Linear
Spaces of Random Variables . . . . . . . 337--342
Gisela Vittver The Stationary Demand Distribution Under
Partial Return . . . . . . . . . . . . . 343--348
Yu. M. Paramonov Explicit Expression for the Bayesian
Risk in Two Cases of Sequential Analysis 349--354
V. I. Rotar' On the Speed of Convergence in the
Multidimensional Central Limit Theorem 354--356
Anonymous New Books . . . . . . . . . . . . . . . 357--358
A. A. Borovkov Factorization Identities and Properties
of the Distribution of the Supremum of
Sequential Sums . . . . . . . . . . . . 359--402
S. V. Nagaev On the Speed of Convergence in a
Boundary Problem. II . . . . . . . . . . 403--429
H. Bergström A Comparison Method for Distribution
Functions of Sums of Independent and
Dependent Random Variables . . . . . . . 430--457
R. L. Dobrushin Prescribing a System of Random Variables
by Conditional Distributions . . . . . . 458--486
Yu. A. Davydov The Invariance Principle for Stationary
Processes . . . . . . . . . . . . . . . 487--498
Ryoji Kondo On a Construction of Recurrent Markov
Chains. II . . . . . . . . . . . . . . . 499--507
A. V. Skorokhod A Note on Gaussian Measures in a Banach
Space . . . . . . . . . . . . . . . . . 508--508
V. A. Egorov On the Strong Law of Large Numbers and
the Law of the Iterated Logarithm for
Sequences of Independent Random
Variables . . . . . . . . . . . . . . . 509--514
S. V. Nagaev Asymptotic Expansions for the Maximum of
Sums of Independent Random Variables . . 514--515
V. P. Chistyakov Some Limit Theorems for Branching
Processes with Particles of Final Type 515--521
N. B. Vasil'ev Correlation Equations for the Stationary
Measure of a Markov Chain . . . . . . . 521--525
I. G. Zhurbenko On the Estimation of Mixed
Semi-Invariants for a Certain Class of
Random Processes . . . . . . . . . . . . 525--528
Z. S. Zerakidze On the Consistency of Best and
Pseudobest Estimates . . . . . . . . . . 528--531
K. O. Dzaparidze On the Estimation of the Spectral
Parameters of a Gaussian Stationary
Process with Rational Spectral Density 531--538
T. L. Razinkova On a Variant of the ``Petersburg Game'' 538--540
A. I. Sobolev On a Game of Borel . . . . . . . . . . . 540--544
O. V. Sarmanov On a Property of the Correlation
Coefficient . . . . . . . . . . . . . . 544--546
I. N. Volodin Beta-Distribution for Small Parameters 546--549
Yu. N. Tyurin On the Estimation of a Distribution
Function . . . . . . . . . . . . . . . . 549--550
M. A. Fedotkin Addendum: an Analysis of the Statistical
Stability of Traffic Flow at an
Intersection Controlled by a Feedback
Automaton . . . . . . . . . . . . . . . 551--551
Anonymous Reviews and Bibliography . . . . . . . . 552--554
Anonymous New Books . . . . . . . . . . . . . . . 555--556
A. V. Skorokhod On Admissible Translations of Measures
in Hilbert Space . . . . . . . . . . . . 557--580
Hiroshi Tanaka Purely Discontinuous Markov Processes
with Nonlinear Generators and Their
Propagation of Chaos . . . . . . . . . . 581--603
V. M. Maksimov Convergence of Non-Homogeneous
Bistochastic Markov Chains . . . . . . . 604--618
M. G. Shur Regular Points of the Martin Boundary 619--629
V. I. Rotar' A Non-Uniform Estimate for the
Convergence Speed in the
Multi-Dimensional Central Theorem . . . 630--648
V. F. Gaposhkin The Central Limit Theorem for Some
Weakly Dependent Sequences . . . . . . . 649--666
A. D. Virtser Central Limit Theorem for Semisimple Lie
Groups . . . . . . . . . . . . . . . . . 667--687
M. P. Ershov Sequential Estimation of Diffusion
Processes . . . . . . . . . . . . . . . 688--700
V. V. Petrov On an Estimate of the Concentration
Function of a Sum of Independent Random
Variables . . . . . . . . . . . . . . . 701--703
Yu. M. Ryzhov and
A. V. Skorokhod Homogeneous Branching Processes with a
Finite Number of Types and Continuously
Varying Mass . . . . . . . . . . . . . . 704--707
V. P. Chistyakov On Convergence of Branching Processes to
Diffusion Processes . . . . . . . . . . 707--710
O. G. Miklukhin Limit Theorems for an Asymmetric Random
Walk . . . . . . . . . . . . . . . . . . 710--715
O. A. Glonti Sequential Filtering of Components of a
Markov Chain with Degenerate Diffusion
Matrix . . . . . . . . . . . . . . . . . 715--718
E. B. Frid On a Problem of D. Lackwell from the
Theory of Dynamic Programming . . . . . 719--722
Yu. N. Tyurin On Parametric Hypothesis Testing with
Non-Parametric Tests . . . . . . . . . . 722--726
H. Bergström Addendum: a Comparison Method for
Distribution Functions of Sums of
Independent and Dependent Random
Variables . . . . . . . . . . . . . . . 727--727
Anonymous New Books . . . . . . . . . . . . . . . 728--729
D. M. Chibisov Certain Chi-Square Type Tests for
Continuous Distributions . . . . . . . . 1--22
M. Csörgö and
V. Seshadri Characterizations of the Behrens--Fisher
and Related Problems (A Goodness of Fit
Point of View) . . . . . . . . . . . . . 23--35
Kiyoshi Kawazu and
Shinzo Watanabe Branching Processes with Immigration and
Related Limit Theorems . . . . . . . . . 36--54
V. M. Maksimov Composition Convergent Sequences of
Measures on Compact Groups . . . . . . . 55--73
V. F. Kolchin A problem of the Allocation of Particles
in Cells and Cycles of Random
Permutations . . . . . . . . . . . . . . 74--90
M. V. Kozlov A Limit Theorem for a Characteristic of
a Random Boolean Matrix . . . . . . . . 91--101
G. I. Ivchenko On Limit Distributions for the Order
Statistics of the Multinomial
Distribution . . . . . . . . . . . . . . 102--115
V. I. Ladokhin and
D. A. Moskvin An Estimate for the Remainder Term in
the Central Limit Theorem for Sums of
Functions of Independent Variables and
Sums of the Form $ \sum {f(t2^k)} $ . . 116--125
A. V. Nagaev Limit Distribution of the Extreme Terms
of a Variational Series under Conditions
of Large Deviations for the Sample Mean 126--140
A. A. Borovkov On the Problem of Pattern Recognition 141--144
N. G. Gamkrelidze and
Yu. V. Prokhorov On the Approximation of the
Distributions of Sums of Lattice Random
Variables When the Number of Summands is
Small . . . . . . . . . . . . . . . . . 144--147
S. V. Nagaev An Estimate for the Convergence Rate for
the Absorption Probability . . . . . . . 147--154
V. E. Stepanov Random Mappings with a Single Attracting
Center . . . . . . . . . . . . . . . . . 155--162
Yu. A. Davydov and
I. A. Ibragimov On Asymptotic Behavior of Some
Functionals of Processes with
Independent Increments . . . . . . . . . 162--167
J. Tomkó On the Estimation of the Remainder Term
in the Central Limit Theorem for Sums of
a Random Number of Summands . . . . . . 167--175
Yu. Yu. Machis Non-Classical Limit Theorems . . . . . . 175--182
S. L. Blyumin and
B. D. Kotlyar On the S. N. Bernstein Inequality . . . 182--184
Yu. I. Kifer Optimal Stopped Games . . . . . . . . . 185--189
V. V. Fedorov Design of Experiments for Linear
Optimality Criteria . . . . . . . . . . 189--195
Anonymous Reviews and Bibliography . . . . . . . . 196--198
B. A. Sevast'yanov and
V. P. Chistyakov Multidimensional Renewal Equations and
Moments of Branching Processes . . . . . 199--214
J. J. Machis Estimates of the Stability Theorem for
Decompositions of the Poisson
Distributions . . . . . . . . . . . . . 215--227
I. A. Ibragimov and
N. B. Maslova On the Expected Number of Real Zeros of
Random Polynomials I. Coefficients with
Zero Means . . . . . . . . . . . . . . . 228--248
A. S. Kholevo Almost-Periodic Signal Estimation . . . 249--263
V. N. Vapnik and
A. Ya. Chervonenkis On the Uniform Convergence of Relative
Frequencies of Events to Their
Probabilities . . . . . . . . . . . . . 264--280
A. F. Kushnir and
A. I. Pinskii Asymptotically Optimal Tests for Testing
Hypothesis for Interdependent Samples of
Observations . . . . . . . . . . . . . . 281--292
G. I. Ivchenko Limit Theorems in an Occupancy Problem 293--307
V. M. Maksimov Divisible Distributions on Finite Groups 308--322
V. V. Fedorov The Design of Experiments in the
Multiresponse Case . . . . . . . . . . . 323--332
L. V. Osipov On Asymptotic Expansions for
Distribution Functions of Sums of
Independent Random Variables . . . . . . 333--343
I. L. Legostaeva and
A. N. Shiryaev Minimax Weights in a Trend Detection
Problem of a Random Process . . . . . . 344--349
V. M. Kruglov Convergence of Distributions of Sums of
Independent Random Variables with Values
in Hilbert Space . . . . . . . . . . . . 350--351
Z. Ivkovich and
Yu. A. Rozanov On the Canonical Hida-Craméer
Representation for Random Processes . . 351--356
L. V. Arkharov On Chebyshev'S Inequality In the
Two-Dimensional Case . . . . . . . . . . 356--361
B. G. Pittel A Minimax Analogue of the Weak Law of
Large Numbers . . . . . . . . . . . . . 361--367
Yu. M. Ryzhov Estimation of the Mean and Correlation
Function of a Stationary Process From
Discrete Data . . . . . . . . . . . . . 367--369
G. A. Kozlov On the Distribution of Random Numbers
Produced by Sequential Physical
Generators . . . . . . . . . . . . . . . 369--378
V. B. Nevzorov On the Speed of Convergence of the
Distribution of the Maximum Cumulative
Sum of Independent Random Variables to
the Normal Law . . . . . . . . . . . . . 378--384
V. V. Yurinskii On Inequalities for Large Deviations for
Certain Statistics . . . . . . . . . . . 385--387
V. V. Yurinskii On Application of the van der Corput
Lemma to the Estimation of the
Characteristic Functions of Certain
Singular Distributions . . . . . . . . . 387--388
Anonymous Résumé of Reports Presented at Sessions of
the Seminar on the theory of Probability
and Mathematical Statistics of the
Mathematical Institute of the Academy of
Sciences of the USSR, 1970 . . . . . . . 389--396
V. M. Kruglov Addendum: a Note on Infinitely Divisible
Distributions . . . . . . . . . . . . . 397--397
Ya. P. Lumel'skii Addendum: Estimates of Certain Functions
of Known Parameters in Problems of
Random Walk . . . . . . . . . . . . . . 397--397
M. Kh. Reznik Addendum: The Law of the Iterated
Logarithm for Some Classes of Stationary
Processes . . . . . . . . . . . . . . . 397--397
Anonymous New Books . . . . . . . . . . . . . . . 398--399
E. B. Dynkin Wanderings of a Markov Process . . . . . 401--428
Z. I. Bezhaeva Limit Theorems for Conditional Markov
Chains . . . . . . . . . . . . . . . . . 429--437
N. V. Krylov An Inequality in the Theory of
Stochastic Integrals . . . . . . . . . . 438--448
A. A. Novikov On Stopping Times for a Wiener Process 449--456
M. M. Rao Local Functionals and Generalized Random
Fields with Independent Values . . . . . 457--473
M. I. Gordin On the Behavior of the Variances of Sums
of Random Variables Forming a Stationary
Process . . . . . . . . . . . . . . . . 474--484
I. A. Ibragimov and
N. B. Maslova On the Expected Number of Real Zeros of
Random Polynomials. II. Coefficients
With Non-Zero Means . . . . . . . . . . 485--493
V. N. Sachkov Distribution of the Number of Distinct
Elements of a Symmetric Basis in a
Random $ m A $-Sample . . . . . . . . . 494--505
G. Wittwer An Inventory Control Problem with
Partial Recovery . . . . . . . . . . . . 506--515
A. S. Kholevo On the Asymptotic Efficiency of
Pseudobest Estimates . . . . . . . . . . 516--527
F. N. Galstyan On Asymptotic Expansions in the Central
Limit Theorem . . . . . . . . . . . . . 528--533
Z. N. Saltykova On Some Questions Related to the Joint
Distribution of Functionally Dependent
Random Variables . . . . . . . . . . . . 533--538
A. A. Novikov On Moment Inequalities for Stochastic
Integrals . . . . . . . . . . . . . . . 538--541
V. A. Lebedev On the First Passage Time of Diffusion
Processes Through Time-Dependent
Boundaries . . . . . . . . . . . . . . . 541--545
Yu. I. Kifer Optimal Stopping in Games with
Continuous Time . . . . . . . . . . . . 545--550
K. O. Dzhaparidze On Methods for Obtaining Asymptotically
Efficient Spectral Parameter Estimates
for a Stationary Gaussian Process with
Rational Spectral Density . . . . . . . 550--554
D. Szasz Limit Theorems for Stochastic Processes
Stopped at Random . . . . . . . . . . . 554--555
M. Kh. Zakhar-Itkin Multimode Transmission Line Noises and
Summation of Random Vectors . . . . . . 556--559
Anonymous Summary of Papers Presented at the
Sessions of the Probability and
Statistics Section of the Moscow
Mathematical Society (November
1969--February 1971) . . . . . . . . . . 559--566
Anonymous Summary of Papers Presented at the
Sessions of the Seminar in Probability
Theory and Mathematical Statistics at
the Mathematical Institute of the
Academy of Sciences of the USSR . . . . 566--572
Anonymous New Books . . . . . . . . . . . . . . . 573--574
B. A. Rogozin The Distribution of the First Ladder
Moment and Height and Fluctuation of a
Random Walk . . . . . . . . . . . . . . 575--595
A. A. Zinger Limit Laws for Cumulative Sums of
Independent Random Variables with a
Finite Number of Distribution Types . . 596--619
V. P. Chistyakov The Asymptotic Behavior of the
Non-Extinction Probability for a
Critical Branching Process . . . . . . . 620--630
V. A. Tutubalin Multimode Waveguides and Probability
Distributions on a Symplectic Group . . 631--642
D. Kh. Fuk and
S. V. Nagaev Probability Inequalities for Sums of
Independent Random Variables . . . . . . 643--660
V. N. Sachkov Distribution of the Number of Fixed
Points of Elements of a Symmetric
Semigroup under the Condition $
\sigma^{h + 1} = \sigma^h $ and the
Number of Trees of Height Not Exceeding
$h$ . . . . . . . . . . . . . . . . . . 661--673
T. P. Krasulina On Stochastic Approximation for Random
Processes with Continuous Time . . . . . 674--682
H. J. Engelbert On the Theory of Controlled Markov
Processes . . . . . . . . . . . . . . . 683--689
A. A. Lodkin Absolute Continuity of Measures
Corresponding to Markov Processes with
Discrete Time . . . . . . . . . . . . . 690--694
A. G. Fakeev Optimal Stopping of a Markov Process . . 694--696
Lothar Partzsch On an Ergodic Theorem for Markov
Processes with Finite Lifetime . . . . . 697--700
V. V. Petrov A Theorem on the Law of the Iterated
Logarithm . . . . . . . . . . . . . . . 700--702
S. M. Fintushal Admissibility of Pitman's Estimator for
a Multidimensional Location Parameter 702--707
A. S. Kholevo On the Asymptotic Normality of Estimates
of Regression Coefficients . . . . . . . 707--711
L. I. Gal'chuk and
B. L. Rozovskii The ``Disorder'' Problem for a Poisson
Process . . . . . . . . . . . . . . . . 712--716
M. B. Malyutov and
V. V. Fedorov On Weighted Polynomial Regression
Designs with Minimum Average Variance 716--720
V. F. Turchin On the Computation of Multidimensional
Integrals by the Monte--Carlo Method . . 720--724
B. G. Pittel' A Linear Programming Problem Connected
with Optimal Stationary Control in a
Dynamic Decision Problem . . . . . . . . 724--728
N. G. Gatkin and
Yu. L. Daletskii On Optimal Detection of a Signal in
Arbitrary Noise . . . . . . . . . . . . 728--732
L. V. Klebanov A Remark on the Independence of a Tube
Statistic and the Sample Mean . . . . . 732--733
Sh. S. Ebralidze Inequalities for the Probabilities of
Large Deviations in the Multidimensional
Case . . . . . . . . . . . . . . . . . . 733--737
Sh. S. Ebralidze Inequalities for Probabilities of Large
Deviations in Terms of Pseudo-Moments 737--741
T. L. Shervashidze On a Uniform Estimate of the Rate of
Convergence in the Multidimensional
Local Limit Theorem for Densities . . . 741--743
Anonymous Reviews and Bibliography . . . . . . . . 744--746
P. Masani On Helixes in Hilbert Space. I . . . . . 1--19
M. B. Averintsev Description of Markovian Random Fields
by Gibbsian Conditional Probabilities 20--33
G. N. Mil'shtein Interaction of Markov Processes . . . . 34--43
John Lamperti Remarks on Maximal Branching Processes 44--53
V. P. Chistyakov Limit Theorems for Age-Dependent
Branching Processes . . . . . . . . . . 54--71
V. A. Labkovskii A Limit Theorem for Generalized Random
Branching Processes Depending on the
Size of the Population . . . . . . . . . 72--85
V. A. Egorov Some Theorems on the Strong Law of Large
Numbers and Law of the Iterated
Logarithm . . . . . . . . . . . . . . . 86--100
V. V. Jurinskii Bounds for Characteristic Functions of
Certain Degenerate Multidimensional
Distributions . . . . . . . . . . . . . 101--113
N. V. Krylov Control of a Solution of a Stochastic
Integral Equation . . . . . . . . . . . 114--130
B. A. Sevast'yanov Random Mappings and Decompositions of
Finite Sets . . . . . . . . . . . . . . 132--145
B. A. Rogozin The Behavior of a Jump for Processes
with Independent Increments . . . . . . 146--149
A. A. Borovkov Some Properties of the Supremum of Sums
of Stationary Related Random Variables 149--151
I. G. Zhurbenko Spectral Semi-Invariants of Stationary
Processes with Sufficiently Strong
Mixing . . . . . . . . . . . . . . . . . 151--153
T. V. Arak On Lévy--Baxter Theorems for Random
Fields . . . . . . . . . . . . . . . . . 153--159
G. Sh Lev Semi-Markov Processes of Multiplication
with Drift . . . . . . . . . . . . . . . 159--164
M. P. Ershov Representations of Itô Processes . . . . 165--169
M. P. Ershov On the Absolute Continuity of Measures
Corresponding to Diffusion Type
Processes . . . . . . . . . . . . . . . 169--174
A. M. Zubkov Life-Periods of a Branching Process with
Immigration . . . . . . . . . . . . . . 174--183
I. V. Evstigneev and
S. E. Kuznetsov On Differential Equations with Random
Coefficients . . . . . . . . . . . . . . 183--188
E. B. Frid On Optimal Strategies in Control
Problems with Constraints . . . . . . . 188--192
V. B. Nevzorov Addendum: On the Speed of Convergence of
the Distribution of the Maximum
Cumulative Sum of Independent Random
Variables to the Normal Law . . . . . . 193--193
Yu. Ryzhov Addendum: Estimation of the Mean and
Correlation Function of a Stationary
Process from Discrete Data . . . . . . . 193--193
V. V. Yurinskii Addendum: On Inequalities for Large
Deviations for Certain Statistics . . . 193--193
Anonymous Reviews and Bibliography . . . . . . . . 194--196
Anonymous New Books . . . . . . . . . . . . . . . 197--198
V. M. Kruglov Limit Theorems for Sums of Independent
Random Variables with Values in Hilbert
Space . . . . . . . . . . . . . . . . . 199--217
V. E. Stepanov Structure of the Random Graphs $
\mathcal {G}_m (x|h) $ . . . . . . . . . 227--242
A. K. Kel'mans Asymptotic Formulas for the Probability
of $k$-Connectedness of Random Graphs 243--254
V. N. Tutubalin Representation of Random Matrices in
Orispherical Coordinates and Its
Application to Telegraph Equations . . . 255--268
A. D. Vent-Tsel' and
M. I. Freidlin Some Problems Concerning Stability under
Small Random Perturbations . . . . . . . 269--283
A. M. Zubkov A Degeneracy Condition for Bounded
Continuous-Time Branching Processes . . 284--297
M. B. Nevel'son On Certain Properties of Continuous
Procedures of Stochastic Approximation 298--308
L. V. Osipov On Probabilities of Large Deviations for
Sums of Independent Random Variables . . 309--331
B. A. Rogozin The Distribution of the First Hit for
Stable and Asymptotically Stable Walks
on an Interval . . . . . . . . . . . . . 332--338
A. M. Gluskin A New Criterion for Testing Nearness to
BTL-Systems in the Method of Pairwise
Comparisons . . . . . . . . . . . . . . 338--342
I. N. Kovalenko Distribution of the Linear Rank of a
Random Matrix . . . . . . . . . . . . . 342--346
A. S. Kholevo Some Statistical Problems for Quantum
Fields . . . . . . . . . . . . . . . . . 347--351
M. G. Shur A Martin Compact with a Non-Negligible
Irregular Boundary Point . . . . . . . . 351--355
S. Natarajan A Category Theorem in Ergodic Theory . . 355--356
A. I. Orlov On Testing the Symmetry of Distributions 357--361
V. D. Konakov Non-Parametric Estimation of Density
Functions . . . . . . . . . . . . . . . 361--362
A. A. Tempel'man A Generalization of an Ergodic Theorem
of Hopf . . . . . . . . . . . . . . . . 363--365
Anonymous Summary of Lectures Given at the
Sessions of the Seminar on Probability
Theory and Mathematical Statistics in
the Mathematical Institute of the
Academy of Sciences of the U.S.S.R. . . 365--371
Anonymous Scientific News and Presentation of the
A. A. Markov Prize . . . . . . . . . . . 372--372
N. V. Krylov Addendum: On Itô's Stochastic Integral
Equations . . . . . . . . . . . . . . . 373--374
Anonymous Review and Bibliography . . . . . . . . 375--376
Anonymous New Books . . . . . . . . . . . . . . . 377--377
V. F. Gaposkin Convergence and Limit Theorems for
Sequences of Random Variables . . . . . 379--400
D. Szasz On Classes of Limit Distributions for
Sums of a Random Number of Identically
Distributed Independent Random Variables 401--415
A. A. Grusho Random Mappings with Bounded
Multiplicity . . . . . . . . . . . . . . 416--425
L. I. Piterbarg Limit Theorems for Markov Random Sets 426--433
A. A. Borovkov Continuity Theorems for Multichannel
Systems with Refusals . . . . . . . . . 434--444
I. A. Ibragimov and
R. Z. Khas'minskii Asymptotic Behavior of Statistical
Estimators in the Smooth Case. I. Study
of the Likelihood Ratio . . . . . . . . 445--462
V. L. Eidlin On Some Classes of Transformations which
Preserve Normality . . . . . . . . . . . 463--471
Yu. D. Burtin and
B. G. Pittel' Semi-Markov Decisions in a Problem of
Optimizing a Checking Procedure of an
Unreliable Queuing System . . . . . . . 472--492
G. A. Kozlov Estimation of the Error of the Method of
Statistical Tests (Monte-Carlo) Due to
Imperfections in the Distribution of
Random Numbers . . . . . . . . . . . . . 493--509
Anonymous Yurii Vladimirovich Linnik . . . . . . . 510--510
M. I. Freidlin The Action Functional for a Class of
Stochastic Processes . . . . . . . . . . 511--515
A. D. Vent-Tsel' Theorems on the Action Functional for
Gaussian Random Functions . . . . . . . 515--517
M. G. Nadkarni Notes on Problems Relating to
Vector-Valued Weakly Stationary
Stochastic Processes . . . . . . . . . . 517--521
G. M. Sobko The First Diffusion Problem on
Differentiable Manifolds . . . . . . . . 521--528
A. L. Rozental' On Conditional Brownian Motions with
Oblique Reflection Corresponding to
Inaccessible Singular Points . . . . . . 528--535
A. E. Zaslavskii An Estimate for the Convergence Rate in
a Renewal Theorem for Random Variables
Defined on a Markov Chain . . . . . . . 535--543
A. S. Kholevo On Estimating Functions of the Mean . . 543--547
V. Z. Brodskii and
T. I. Golikova Construction of $D$-Optimal Weighing
Designs with Minimal Number of
Observations . . . . . . . . . . . . . . 547--551
G. Sh. Lev On Convergence of Semi-Markov
Multiplication Processes with Drift to a
Diffusion Process . . . . . . . . . . . 551--556
A. A. Borovkov Notes on Inequalities for Sums of
Independent Variables . . . . . . . . . 556--557
Anonymous Summary of Papers Presented at the
Sessions of the Seminar in Probability
Theory and Mathematical Statistics at
the Mathematical Institute of the
Academy of Sciences of the USSR, 1972 558--567
Anonymous Reviews and Bibliography . . . . . . . . 568--569
Anonymous New Books . . . . . . . . . . . . . . . 570--571
S. V. Nagaev On Necessary and Sufficient Conditions
for the Strong Law of Large Numbers . . 573--581
R. L. Dobrushin Gibbs State Describing Coexistence of
Phases for a Three-Dimensional Ising
Model . . . . . . . . . . . . . . . . . 582--600
V. M. Maksimov Nonhomogeneous Semigroups of Measures on
Compact Lie Groups . . . . . . . . . . . 601--619
D. M. Chibisov An Asymptotic Expansion for the
Distribution of a Statistic Admitting an
Asymptotic Expansion . . . . . . . . . . 620--630
V. P. Chistyakov On Transition Phenomena in Branching
Stochastic Processes with Several Types
of Particles . . . . . . . . . . . . . . 631--639
V. N. Sachkov Mappings of a Finite Set with
Limitations on Contours and Height . . . 640--656
E. L. Presman and
I. M. Sonin The Best Choice Problem for a Random
Number of Objects . . . . . . . . . . . 657--668
D. S. Sil'vestrov Remarks on the Limit of a Composite
Random Function . . . . . . . . . . . . 669--677
D. A. Moskvin A Local Limit Theorem for Large
Deviations in the Case of Differently
Distributed Lattice Summands . . . . . . 678--684
V. M. Kruglov On the Extension of the Class of Stable
Distributions . . . . . . . . . . . . . 685--694
B. A. Sevast'yanov Poisson Limit Law for a Scheme of Sums
of Dependent Random Variables . . . . . 695--699
V. V. Sarafyan Diffusion Processes and Differential
Equations Degenerating at Isolated
Points . . . . . . . . . . . . . . . . . 699--703
W. Dyczka A Theorem on Factorial Moments in the
Multidimensional Case . . . . . . . . . 703--706
V. A. Lebedev On a Transformation of Systems of
Stochastic Differential Equations . . . 706--709
I. B. Gercbah On a Problem of Choosing the Order of
Dependent Trials . . . . . . . . . . . . 709--712
I. S. Yusas On the Distribution of the Maximum
Frequency of a Multinomial Distribution 712--717
A. A. Novikov On an Identity for Stochastic Integrals 717--720
A. V. Bernstein and
A. A. Sidorov On Characteristic Properties of Fisher's
$k$-Statistics . . . . . . . . . . . . . 721--723
A. V. Bernstein and
A. A. Sidorov Estimates of the Set of Expectations for
a Normal Population . . . . . . . . . . 723--726
K. I. Satyabaldina Absolute Estimates of the Rate of
Convergence to Stable Laws . . . . . . . 726--728
Balram S. Rajput The Support of Gaussian Measures on
Banach Spaces . . . . . . . . . . . . . 728--734
Anonymous Summary of Papers Presented at Sessions
of the Probability Theory and
Mathematical Statistics Seminar at the
T. G. Shevchenko Kiev State University 734--744
Anonymous Summary of Papers Presented at Sessions
of the Probability and Statistics
Section of the Moscow Mathematical
Society (September 1971--April 1972) . . 745--754
Anonymous New Books . . . . . . . . . . . . . . . 755--756
E. A. Nadaraja On convergence in the $ L_2 $-norm of
probability density estimates . . . . . 1--1
S. S. Vallander Calculation of the Wasserstein distance
between probability distributions on the
line . . . . . . . . . . . . . . . . . . 1--1
A. D. Vent-Tsel' Formulae for Eigenfunctions and
Eigenmeasures Associated with a Markov
Process . . . . . . . . . . . . . . . . 1--26
A. V. Skorokhod and
M. I. Yadrenko On Absolute Continuity of Measures
Corresponding to Homogeneous Gaussian
Fields . . . . . . . . . . . . . . . . . 27--40
G. M. Sobko A Diffusion Approximation of Non-Markov
Random Walks on Differentiable Manifolds 41--53
N. V. Krylov Some Estimates in the Theory of
Stochastic Integrals . . . . . . . . . . 54--63
D. Kh. Mushtari Certain General Questions of the Theory
of Probability Measures in Linear Spaces 64--75
I. A. Ibragimov and
R. Z. Khas'minskii Asymptotic Behavior of Some Statistical
Estimators II. Limit Theorems for the a
Posteriori Density and Bayes' Estimators 76--91
T. V. Selezneva and
V. N. Tutubalin The Evaluation of Statistical
Characteristics of a Long Waveguide in a
Two-Mode Model . . . . . . . . . . . . . 92--106
S. V. Nagaev and
V. I. Rotar' On Strengthening Lyapunov Type Estimates
(The Case When the Distribution of the
Summands is Close to the Normal
Distribution) . . . . . . . . . . . . . 107--119
V. N. Sachkov Random Mappings with Bounded Height . . 120--130
Robert Hafner Convergence of Point Complexes in $ Z^n
$ to Poisson Processes . . . . . . . . . 131--149
N. V. Krylov The Regularity of Conditional
Probabilities for Stochastic Processes 150--153
T. N. Siraya On Canonical Representations for
Stochastic Processes of Multiplicities
One and Two . . . . . . . . . . . . . . 153--158
Yu. I. Kifer Boundary Behavior of Conditional
Diffusion Processes . . . . . . . . . . 158--161
V. B. Nevzorov Joint Distributions of Random Variables
Connected with Fluctuations of a Stable
Process . . . . . . . . . . . . . . . . 161--169
A. P. Korostelev A Probabilistic Representation of the
Solution of the Directional Derivative
Problem . . . . . . . . . . . . . . . . 169--172
A. A. Tempelman The Ergodicity of Homogeneous Gaussian
Random Fields on Homogeneous Spaces . . 173--175
V. A. Egorov On the Rate of Convergence to Normal Law
which is Equivalent to the Existence of
a Second Moment . . . . . . . . . . . . 175--180
R. S. Ismagilov On the Tail Algebra for Random Sequences 180--186
A. V. Prohorov On Sums of Random Vectors . . . . . . . 186--188
G. I. Ivchenko On the Asymptotic Behavior of Degrees of
Vertices in a Random Graph . . . . . . . 188--195
V. A. Labkovskii On a Property of a ``Waiting Process'' 196--198
I. N. Volodin Designing Experiments for Testing the
Parameters of Two Normal Populations . . 198--202
K. I. Satyabaldina On the Estimation of the Rate of
Convergence in a Limit Theorem with a
Stable Limit Law . . . . . . . . . . . . 202--204
Anonymous New Books . . . . . . . . . . . . . . . 205--206
A. A. Borovkov On the Rate of Convergence for the
Invariance Principle . . . . . . . . . . 207--225
Pranab Kumar Sen Asymptotic Sequential Tests for Regular
Functionals of Distribution Functions 226--240
I. A. Ibragimov and
R. Z. Khas'minskii Asymptotic Analysis of Statistical
Estimators for the ``Almost Smooth''
Case . . . . . . . . . . . . . . . . . . 241--252
L. R. Dobrushin Investigation of Gibbsian States for
Three-Dimensional Lattice Systems . . . 253--271
V. G. Alekseev Empirical Spectral Analysis of
Homogeneous and Isotopic Random Fields 272--280
M. Kh. Zakhar-Itkin On Statistics of the Reflection
Coefficient of a Dissipative Multiwave
Transmission Line with Random Section
Lengths . . . . . . . . . . . . . . . . 281--294
D. M. Chibisov An Asymptotic Expansion for a Class of
Estimators Containing Maximum Likelihood
Estimators . . . . . . . . . . . . . . . 295--303
H. J. Engelbert On the Theory of Optimal Stopping Rules
for Markov Processes . . . . . . . . . . 304--311
Yu. A. Davydov Mixing Conditions for Markov Chains . . 312--328
L. B. Klebanov The Admissibility of the Sample Mean As
an Estimate of the Location Parameter
for Non-Quadratic Risk Functions . . . . 329--339
A. A. Mogul'skii Absolute Estimates for Moments of
Certain Boundary Functionals . . . . . . 340--347
V. V. Petrov On the Order of Growth and Sums of
Dependent Variables . . . . . . . . . . 348--350
W. A. Woyczynski Random Series and Laws of Large Numbers
in Some Banach Spaces . . . . . . . . . 350--355
P. I. Kuznetsov and
A. S. Yudina Some Asymptotic Expansions for an
Incomplete Probability Integral . . . . 355--359
A. S. Kholevo A Generalization of the Rao--Cramer
Inequality . . . . . . . . . . . . . . . 359--362
Yu. M. Kabanov Representation of Functionals of Wiener
and Poisson Processes in the Form of
Stochastic Integrals . . . . . . . . . . 362--365
A. V. Pechinkin On Convergence of Random Sums of Random
Variables to the Normal Law . . . . . . 366--367
Lennart Bondesson Characterizations of the Gamma
Distributions . . . . . . . . . . . . . 367--369
Chandrakant M. Deo A Theorem on Gaussian Random Fields . . 369--372
V. F. Gaposhkin On the Strong Law of Large Numbers for
Second Order Stationary Processes and
Sequences . . . . . . . . . . . . . . . 372--375
S. S. Vallander A Remark on the Papers by R. L.
Dobrushin and H. Kesten . . . . . . . . 375--378
E. L. Presman On a Multidimensional Version of the
Kolmogorov Uniform Limit Theorem . . . . 378--384
T. V. Arak and
V. B. Nevzorov Some Estimates for the Maximum
Cumulative Sum of Independent Random
Variables . . . . . . . . . . . . . . . 384--387
M. V. Kozlov Random Walk in a One-Dimensional Random
Medium . . . . . . . . . . . . . . . . . 387--388
E. B. Frid On Stochastic Games . . . . . . . . . . 389--393
V. D. Konakov Some Hajek--R\`enyi Type Inequalities 393--394
A. M. Sadovyak and
E. F. Tsar'kov An Analogue of the Cauchy Formula for
Stochastic Differential Equations . . . 394--396
G. I. Ivchenko The Strength of Connectivity of a Random
Graph . . . . . . . . . . . . . . . . . 396--403
M. D. Shklover The Simulation of a Class of Random
Fields . . . . . . . . . . . . . . . . . 403--404
V. A. Lebedev On the Backward Interpolation Equations
for the Jump Component of a Markov
Process . . . . . . . . . . . . . . . . 405--408
Anonymous Summary of Papers Presented at Sessions
of the Probability and Statistics
Section of the Moscow Mathematical
Society (October-December, 1972) . . . . 408--420
Anonymous New Books . . . . . . . . . . . . . . . 421--422
A. A. Borovkov Conditions for Convergence to Degenerate
Processes . . . . . . . . . . . . . . . 423--430
Yu. A. Davydov Limit Theorems for Functionals of
Processes with Independent Increments 431--441
I. A. Ibragimov Properties of Sample Functions for
Stochastic Processes and Embedding
Theorems . . . . . . . . . . . . . . . . 442--453
R. N. Miroshin A Sufficient Condition for Finiteness of
Moments of the Number of Zeros of a
Differentiable Stationary Gaussian
Process . . . . . . . . . . . . . . . . 454--463
V. V. Buldygin On Random Series in a Banach Space . . . 464--475
V. N. Dubrovskii On Small Random Perturbations of a
Second-Order Differential Equation . . . 476--485
R. V. Ambartsumyan On Random Fields of Segments and Random
Mosaics on the Plane . . . . . . . . . . 486--498
V. I. Rotar' Some Limit Theorems for Polynomials of
Second Degree . . . . . . . . . . . . . 499--507
I. A. Ibragimov and
R. Z. Khas'minskii On Moments of Generalized Bayesian
Estimators and Maximum Likelihood
Estimators . . . . . . . . . . . . . . . 508--520
V. M. Masimov A Generalized Bernoulli Scheme and Its
Limit Distributions . . . . . . . . . . 521--530
G. I. Ivchenko Variational Series for a Scheme of
Summing Independent Variables . . . . . 531--545
B. Ya. Levit and
R. Z. Khas'minskii Sequential Estimation of the Parameter
of a Markov Chain . . . . . . . . . . . 546--558
M. S. Nikulin Chi-Square Test for Continuous
Distributions with Shift and Scale
Parameters . . . . . . . . . . . . . . . 559--568
V. V. Petrov Moments of Distributions Attracted to
Stable Laws . . . . . . . . . . . . . . 569--571
S. E. Kuznetsov Construction of Markov Processes with
Random Times of Birth and Death . . . . 571--575
E. Arjas and
T. P. Speed A Note on the Second Factorization
Identity of A. A. Borovkov . . . . . . . 576--578
D. S. Sil'vestrov Conditions for Convergence of the
Superposition of Random Processes in the
J-Topology . . . . . . . . . . . . . . . 579--582
V. M. Kapitonov On the Rate of Convergence of a Sequence
of Distributions Defined by an
Autoregression Scheme on a Compact Group 582--587
S. M. Krasnitskii On Conditions of Equivalence and
Perpendicularity of Measures
Corresponding to Homogeneous Gaussian
Fields . . . . . . . . . . . . . . . . . 588--592
H. Läuter Remarks on Optimal Synthesis of Systems 592--598
G. V. Balakin On the Distribution of the Number of
Solutions of Systems of Random Boolean
Equations . . . . . . . . . . . . . . . 598--602
V. V. Yurinskii On Sample Continuity of Random Fields 602--607
L. B. Klebanov On the Characterization of a Family of
Distributions by the Property of
Independence of Statistics . . . . . . . 608--611
A. M. Zubkov Limit Distributions for a Statistical
Estimate of the Entropy . . . . . . . . 611--618
Yu. N. Tyurin Testing the Hypothesis That a
Large-Sized Multidimensional Sample is
Normal . . . . . . . . . . . . . . . . . 618--622
E. M. Kudlaev On Estimating Distribution Parameters
From Segments of a Variational Series 622--628
Yu. G. Dmitriev and
F. P. Tarasenko On the Estimation of Functionals of the
Probability Density and Its Derivatives 628--633
Anonymous Summary of Papers Presented at the
Sessions of the Seminar in Probability
Theory and Mathematical Statistics at
the Mathematical Institute of the
Academy of Sciences of the USSR . . . . 633--641
L. V. Osipov Addendum: On Probabilities of Large
Deviations for Sums of Independent
Random Variables . . . . . . . . . . . . 642--642
Anonymous Reviews and Bibliography . . . . . . . . 643--645
Anonymous New Books . . . . . . . . . . . . . . . 646--647
D. M. Chibisov An Asymptotic Expansion for the
Distribution of Sums of a Special Form
with an Application to Minimum-Contrast
Estimates . . . . . . . . . . . . . . . 649--661
B. A. Rogozin An Estimate of the Remainder Term in
Limit Theorems of Renewal Theory . . . . 662--677
V. M. Tutubalin On Dynamic Systems with Random
Perturbations . . . . . . . . . . . . . 678--693
V. N. Kruglov Convergence of Numerical Characteristics
of Sums of Independent Random Variables
with Values in a Hilbert Space . . . . . 694--712
I. A. Ibragimov and
E. L. Presman On the Rate of Approach of the
Distributions of Sums of Independent
Random Variables to Accompanying
Distributions . . . . . . . . . . . . . 713--727
V. F. Kolchin and
V. P. Chistyakov On a Combinatorial Limit Theorem . . . . 728--739
G. Sh. Lev Asymptotic Properties of the Degeneracy
Probability for Semi-Markov
Multiplication Processes . . . . . . . . 740--752
Jan Hagberg Approximation of the Summation Process
Obtained by Sampling from a Finite
Population . . . . . . . . . . . . . . . 753--766
I. Sh. Ibramkhalilov and
A. V. Skorokhod Determination of the Mean of a Wiener
Process Observed on an Infinite Interval 767--771
A. V. Skorokhod A Theorem on Continuity of a Random
Function on a Compact Set in Hilbert
Space . . . . . . . . . . . . . . . . . 771--774
A. A. Borovkov and
A. I. Sakhanenko Remarks on Convergence of Random
Processes in Non-Separable Metric Spaces
and on the Non-Existence of a Borel
Measure for Processes in $ C(0, \infty)
$ . . . . . . . . . . . . . . . . . . . 774--777
A. A. Yushkevich On a Class of Strategies in General
Markov Decision Models . . . . . . . . . 777--779
M. I. Freidlin Probabilities of Large Deviations for
Randomly Perturbed Dynamic Systems and
Stochastic Stability . . . . . . . . . . 779--784
S. S. Vallender Calculation of the Wasserstein Distance
Between Probability Distributions on the
Line . . . . . . . . . . . . . . . . . . 784--786
V. A. Epanechnikov On the Precise Value of the Significance
Level for the Truncated One-Sided
Kolmogorov Test . . . . . . . . . . . . 787--789
I. N. Volodin On a Two-Sample Test in the Analysis of
Variance . . . . . . . . . . . . . . . . 790--794
V. D. Konakov On the Asymptotic Normality of the Mode
of Multidimensional Distributions . . . 794--799
N. G. Gamkrelidze Estimation of the Maximum Probability
for Sums of Lattice Random Variables . . 799--803
G. V. Proskurin On the Distribution of the Number of
Vertices in Strata of a Random Mapping 803--808
E. A. Nadaraya On Convergence in the $ L_2 $-Norm of
Probability Density Estimates . . . . . 808--811
O. P. Vinogradov The Definition of Distribution Functions
with Increasing Hazard Rate in Terms of
the Laplace Transform . . . . . . . . . 811--813
E. A. Danielyan and
G. A. Ivanov On the Queue Length in Priority Queuing
Systems . . . . . . . . . . . . . . . . 814--816
Anonymous Summaries of Reports Presented at
Sessions of the Section on Theory of
Probability and Mathematical Statistics
of the Moscow Mathematical Society
(February-May 1973) . . . . . . . . . . 816--826
Anonymous Summary of Papers Presented at Sessions
of the Seminar on Probability Theory and
Mathematical Statistics at the T. G.
Shevchenko Kiev State University . . . . 827--837
Anonymous International Conference on Probability
Theory and Mathematical Statistics . . . 838--839
M. B. Malyutov Addendum: Minimax Designs for Testing
the Degree of a Polynomial . . . . . . . 840--840
Anonymous New Books . . . . . . . . . . . . . . . 841--841
M. P. Ersov The existence of a martingale with given
diffusion functional . . . . . . . . . . 1--1
Michel Metivier The stochastic integral with respect to
processes with values in a reflexive
Banach space . . . . . . . . . . . . . . 1--1
V. S. Korolyuk Boundary Problems for a Compound Poisson
Process . . . . . . . . . . . . . . . . 1--13
B. A. Sevast'yanov and
A. M. Zubkov Controlled Branching Processes . . . . . 14--24
V. A. Vatutin The Asymptotic Probability of the First
Degeneration for Branching Processes
with Immigration . . . . . . . . . . . . 25--34
N. B. Maslova On the Variance of the Number of Real
Roots of Random Polynomials . . . . . . 35--52
D. A. Moskvin and
G. A. Frejman and
A. A. Yudin Structure Theory of Set Addition and
Local Limit Theorems for Independent
Lattice Random Variables . . . . . . . . 53--64
L. A. Bunimovic Central Limit Theorem for a Class of
Billiards . . . . . . . . . . . . . . . 65--85
A. D. Virtser Limit Theorems for Compositions of
Distributions on Certain Nilpotent Lie
Groups . . . . . . . . . . . . . . . . . 86--105
E. A. Pecerskii Some Identities Related to the Exit of a
Random Walk from a Segment and a
Semi-Interval . . . . . . . . . . . . . 106--121
K. O. Dzaparidze A New Method for Estimating Spectral
Parameters of a Stationary Regular Time
Series . . . . . . . . . . . . . . . . . 122--132
E. A. Nadaraya On the Integral Mean Square Error of
Some Nonparametric Estimates for the
Density Function . . . . . . . . . . . . 133--141
T. L. Malevic Some Bounds for the Probabilities of
Events Generated by Gaussian Processes
and Fields, and Applications to Problems
of Level Crossings . . . . . . . . . . . 142--153
V. V. Jurinskii Exponential Bounds for Large Deviations 154--155
V. V. Buldygin On the Lévy Inequality for Random
Variables in a Banach Space . . . . . . 156--159
A. I. Fokht On the Distribution of the First Jump
for a Generalized Poisson Process with
Drift . . . . . . . . . . . . . . . . . 159--163
A. K. Grincevicjus On the Continuity of the Distribution of
a Sum of Dependent Variables Connected
with Independent Walks on Lines . . . . 163--168
G. L. Kulinich On Existence and Uniqueness of a
Solution of a Stochastic Differential
Equation with Martingale Differential 168--171
A. M. Zubkov and
V. G. Mikhailov Limit Distributions of Random Variables
Associated with Long Duplications in a
Sequence of Independent Trials . . . . . 172--179
V. G. Mikhailov Limit Distribution of Random Variables
Associated with Multiple Long
Duplications in a Sequence of
Independent Trials . . . . . . . . . . . 180--184
V. N. Sachkov Random Partitions of Sets . . . . . . . 184--190
A. V. Skorokhod A Remark on Consistent Estimates of a
Gaussian Distribution . . . . . . . . . 190--193
V. G. Alekseev On the Uniform Convergence of Estimates
of the Spectral Density of a Stationary
Gaussian Random Process . . . . . . . . 193--200
L. B. Klebanov On Conditions for the Zero Regression of
One Linear Statistic with Respect to
Another . . . . . . . . . . . . . . . . 200--204
M. G. Gel'berg The Relation between Mann--Whitney's
Statistic and Kendall's Correlation
Coefficient $ \tau $ . . . . . . . . . . 205--207
V. A. Epanecnikov On the Power of the One-Sided Kolmogorov
Test When the Sample Size is Small . . . 207--212
A. V. Bernstein Asymptotic Properties of Group Estimates
of a Random Collection . . . . . . . . . 212--215
V. N. Fetisov An Inequality in the Monte Carlo Method 216--217
V. P. Kozlov On an Optimum Design Problem for a
Statistical Experiment . . . . . . . . . 218--221
V. V. Jurinskii Exponential Bounds for Smooth Fields . . 221--226
Anonymous New Books . . . . . . . . . . . . . . . 227--228
Anonymous The Development of Probability and
Statistics at the USSR Academy of
Sciences . . . . . . . . . . . . . . . . 229--232
I. A. Ibragimov and
R. Z. Has'minskii On Sequential Estimation . . . . . . . . 233--244
T. V. Arak On the Distribution of the Maximum of
Successive Partial Sums of Independent
Random Variables . . . . . . . . . . . . 245--266
G. I. Ivcenko On Limit Distributions of Middle Order
Statistics for a Double Sequence . . . . 267--277
H. J. Engelbert On Optimal Stopping Rules for Markov
Processes with Continuous Time . . . . . 278--296
V. V. Jurinskii On Infinitely Divisible Distributions 297--308
A. M. Zubkov Analogies between Galton--Watson
Processes and $ \varphi $-Branching
Processes . . . . . . . . . . . . . . . 309--331
V. Ja. Levit On the Behavior of Generalized Bayes
Estimators for Markov Observations . . . 332--346
K. O. Dzhaparidze On Simplified Estimators of Unknown
Parameters with Good Asymptotic
Properties . . . . . . . . . . . . . . . 347--358
V. F. Kolchin and
V. P. Chistyakov On limit Distributions of a Statistic 359--365
Yu. R. Gabovich On the Stability of Certain
Characteristic Properties of the Normal
Distribution . . . . . . . . . . . . . . 365--371
V. V. Sazanov On the Estimation of Moments of Sums of
Independent Random Variables . . . . . . 371--374
V. M. Kruglov The Behavior of Sums of Independent
Random Variables . . . . . . . . . . . . 374--379
L. B. Klebanov Unbiased Estimators and Sufficient
Statistics . . . . . . . . . . . . . . . 379--383
I. N. Volodin On the Discrimination of Gamma and
Weibull Distributions . . . . . . . . . 383--390
Yu. G. Dmitriev and
F. P. Tarasenko On a Class of Non-Parametric Estimates
of Non-Linear Functionals of Density . . 390--394
A. N. Livshits On the Isomorphism Problem for Bernoulli
Schemes . . . . . . . . . . . . . . . . 394--399
A. I. Sahanenko On the Speed of Convergence in a
Boundary Problem . . . . . . . . . . . . 399--403
V. G. Mikhailov Convergence to the Poisson Process in a
Scheme of Cumulative Sums of Dependent
Random Variables . . . . . . . . . . . . 403--407
K. O. Dzaparidze and
G. I. Marr On Evaluation of the Likelihood Ratio
for a Generalized Gaussian Process with
Rational Spectral Density . . . . . . . 407--410
M. S. Nikulin On a Quantile Test . . . . . . . . . . . 410--413
Anonymous Summary of Reports Made at Sessions of
the Seminar on Probability Theory and
Mathematical Statistics at T. G.
Shevchenko Kiev State University . . . . 413--427
Anonymous New Books . . . . . . . . . . . . . . . 428--429
M. P. Ershov Extension of Measures and Stochastic
Equations . . . . . . . . . . . . . . . 431--444
W. Linde and
A. Pietsch Mappings of Gaussian Cylindrical
Measures in Banach Spaces . . . . . . . 445--460
N. B. Maslova On the Distribution of the Number of
Real Roots of Random Polynomials . . . . 461--473
T. L. Malevic A Limit Theorem for the Length of
Contours Generated by Crossings of the
Zero Level by Gaussian Fields . . . . . 474--486
Yu. I. Kifer Certain Results Concerning Small Random
Perturbations of Dynamical Systems . . . 487--505
Z. G. Maimin On Detection of the Deterministic
Component of a Random Field . . . . . . 506--521
Z. I. Bezaeva Ergodic Properties of Conditional Markov
Chains . . . . . . . . . . . . . . . . . 522--531
G. P. Klimov Time-Sharing Service Systems. I . . . . 532--551
N. I. Portenko On the Existence of Solutions of
Stochastic Differential Equations with
Integrable Drift Coefficient . . . . . . 552--557
G. N. Mil'shtejn Approximate Integration of Stochastic
Differential Equations . . . . . . . . . 557--562
P. I. Maister Branching Diffusion in a Bounded Domain
with Absorbing Boundary . . . . . . . . 563--569
R. N. Miroshin A Necessary Condition for Finiteness of
the Moments of the Number of Zeros of a
Differentiable Gaussian Stationary
Process . . . . . . . . . . . . . . . . 570--577
L. B. Klebanov and
A. L. Rukhin On Families of Distributions with
Location Parameter Admitting a
Sufficient Statistic of Rank Not Greater
Than Two . . . . . . . . . . . . . . . . 577--584
G. I. Ivchenko On Comparison of Binomial and Poisson
Distributions . . . . . . . . . . . . . 584--587
S. W. Joshi and
G. P. Patil Sum-Symmetric Power Series Distributions
and Minimum Variance Unbiased Estimation 587--594
V. A. Kokotuskin A Generalization of the Palm--Khinchin
Theorem . . . . . . . . . . . . . . . . 594--597
M. V. Hatunceva Estimates for Quantities in the Central
Limit Theorem . . . . . . . . . . . . . 598--604
B. G. Pittel' On a Game Random Walk on a Straight Line 604--614
Anonymous Summary of Reports Presented at Sessions
of the Probability and Statistics
Section of Moscow Mathematical Society
(October-December 1973) . . . . . . . . 614--622
Anonymous Summary of Reports Presented at Sessions
of the Probability and Statistics
Seminar in the Mathematical Institute of
the USSR Academy of Sciences . . . . . . 622--629
Anonymous Review and Bibliography . . . . . . . . 630--630
Anonymous New Books . . . . . . . . . . . . . . . 631--631
M. P. Ershov The Existence of a Martingale with Given
Diffusion Functional . . . . . . . . . . 633--655
S. Beer and
E. Lukacs Stability Theorems for a
Characterization of the Poisson
Distribution . . . . . . . . . . . . . . 656--668
I. A. Ibragimov and
R. Z. Has'minskii On Sequential Estimation of the Location
Parameter for Families of Distributions
with Discontinuous Densities . . . . . . 669--682
L. N. Bol'shev and
M. Ubaidullaeva Chauvenet's Test in the Classical Theory
of Errors . . . . . . . . . . . . . . . 683--692
B. L. Golinskii On the Asymptotic Behavior of the
Prediction Error . . . . . . . . . . . . 693--709
Yu. D. Burtin On Extreme Metric Parameters of a Random
Graph. I. Asymptotic Estimates . . . . . 710--725
A. A. Mogul'skii Small Deviations in a Space of
Trajectories . . . . . . . . . . . . . . 726--736
A. I. Orlov The Rate of Convergence of the
Distribution of the Smirnov-von Mises
Statistic . . . . . . . . . . . . . . . 737--757
Michel Metivier The Stochastic Integral with Respect to
Processes with Values in a Reflexive
Banach Space . . . . . . . . . . . . . . 758--787
V. G. Karmanov On Convergence of a Random Search Method
in Convex Minimization Problems . . . . 788--794
H.-J. Rossberg On a Problem of Kolmogorov Concerning
the Normal Distribution . . . . . . . . 795--798
L. Yu. Morozenskii On the Asymptotic Length of a Commercial
Traveller's Path when Towns are Randomly
Allocated . . . . . . . . . . . . . . . 798--801
Yu. N. Zezel' The Minimal Essentially Complete Class
of Discrimination Rules for Unknown
Moments of Higher Orders . . . . . . . . 801--803
H. L. Hurd Periodically Correlated Processes with
Discontinuous Correlation Functions . . 804--807
G. I. Ivchenko Waiting Time and Testing Hypotheses in a
Multinomial Scheme . . . . . . . . . . . 807--812
Yu. L. Daletskii and
S. N. Paramonova On a Formula From the Theory of Gaussian
Measures and on the Estimation of
Stochastic Integrals . . . . . . . . . . 812--817
V. G. Mikhailov Asymptotic Independence of Vector
Components of Multivariate Extreme Order
Statistics . . . . . . . . . . . . . . . 817--821
J. L. Teugels The Subexponential Class of Probability
Distributions . . . . . . . . . . . . . 821--822
V. F. Kolchin and
V. P. Chistyakov Limit Distributions of the Number of
Non-Occurring $s$-Tuples in a
Multinomial Scheme . . . . . . . . . . . 822--830
M. Ubaidullaeva On Testing Outlying Observations . . . . 831--834
A. V. Bulinskii Bounds for Mixed Cumulants and
Higher-Order Covariances of Bounded
Random Variables . . . . . . . . . . . . 835--839
G. A. Mikhailov On the Reproduction Method for
Simulating Random Vectors and Stochastic
Processes (Randomization of Correlation
Matrices) . . . . . . . . . . . . . . . 839--843
V. F. Gaposkin and
T. P. Krasulina On the Law of the Iterated Logarithm in
Stochastic Approximation Processes . . . 844--850
K. O. Dzaparidze and
M. S. Nikulin On a Modification of the Standard
Statistics of Pearson . . . . . . . . . 851--853
Yu. M. Kabanov Integral Representations of Functionals
of Processes with Independent Increments 853--857
Anonymous Review and Bibliography . . . . . . . . 858--859
Anonymous New Books . . . . . . . . . . . . . . . 860--861
A. A. Jurinskii A Smoothing Inequality for Estimates of
the Lévy--Prokhorov Distance . . . . . . 1--10
A. A. Novikov On Discontinuous Martingales . . . . . . 11--26
N. I. Portenko Diffusion Processes with Unbounded Drift
Coefficient . . . . . . . . . . . . . . 27--37
L. V. Osipov Multidimensional Limit Theorems for
Large Deviations . . . . . . . . . . . . 38--56
L. V. Kim and
A. V. Nagaev On the Asymmetrical Problem of Large
Deviations . . . . . . . . . . . . . . . 57--68
V. M. Maksimov Invariant Estimates of the Shift for
Distributions on Finite Groups . . . . . 69--82
Yu. D. Burtin On Extreme Metric Characteristics of a
Random Graph. II. Limit Distributions 83--101
V. L. Freidlina On a Design Problem for Screening
Experiments . . . . . . . . . . . . . . 102--115
E. V. Khmaladze Estimation of the Necessary Number of
Observations for Discriminating Simple
Close Hypotheses . . . . . . . . . . . . 116--126
Anatole Beck and
Daniel P. Giesy and
Peter Warren Recent Developments in the Theory of
Strong Laws of Large Numbers for
Vector-Valued Random Variables . . . . . 127--134
I. A. Ibragimov A Note on the Central Limit Theorems for
Dependent Random Variables . . . . . . . 135--141
V. V. Petrov A Generalization of an Inequality of Lévy 141--145
S. E. Kuznetsov Excessive Functions Connected with a
Regular Markov Split Process . . . . . . 145--150
A. G. Grin' On Small Random Impulsive Perturbations
of Dynamical Systems . . . . . . . . . . 150--158
S. Csörgö Asymptotic Expansion for the Laplace
Transform of the von Mises $ \omega^2
$-Test . . . . . . . . . . . . . . . . . 158--161
G. Sh. Lev Asymptotic Properties of the Probability
of Degeneration after Time $t$ for
Markov Multiplication Processes . . . . 161--169
Jürgen Gärtner On the Asymptotic Behavior of the Time
of First Exit from a Region . . . . . . 169--174
I. A. Ibragimov A Remark on the Ergodic Theorem for
Markov Chains . . . . . . . . . . . . . 174--176
S. V. Nagaev A Limit Theorem for Branching Processes
with Immigration . . . . . . . . . . . . 176--179
S. V. Nagaev and
N. V. Vahrusev Estimation of Probabilities of Large
Deviations for a Critical Galton--Watson
Process . . . . . . . . . . . . . . . . 179--180
I. I. Ezhov and
A. A. Shakhbazov On a Class of Branching Processes . . . 180--185
P. K. Katyshev Transmission of a Gaussian Vector
Through a Channel with Noiseless
Feedback . . . . . . . . . . . . . . . . 185--193
F. Proschan and
J. Sethuraman Simple Multivariate Inequalities Using
Association . . . . . . . . . . . . . . 193--195
A. V. Skorokhod A Remark on Square Integrable
Martingales . . . . . . . . . . . . . . 195--198
N. M. Khalfina and
L. A. Khalfin On a Robust Version of the Likelihood
Ratio Test . . . . . . . . . . . . . . . 199--202
V. A. Egorov and
V. B. Nevzorov On the Rate of Convergence of Linear
Combinations of Absolute Order
Statistics to the Normal Law . . . . . . 203--211
V. M. Zolotarev Qualitative Estimates in Problems of
Continuity of Queuing Systems . . . . . 211--213
Anonymous Letter to the Editors . . . . . . . . . 214--215
Anonymous New Books . . . . . . . . . . . . . . . 216--217
A. V. Skorokhod On a Generalization of a Stochastic
Integral . . . . . . . . . . . . . . . . 219--233
V. M. Zolotarev and
V. V. Senatov Two-Sided Estimates of Levy's Metric . . 234--245
I. A. Ibragimov and
R. Z. Has'minskii Local Asymptotic Normality for
Non-Identically Distributed Observations 246--260
M. G. Shur Elements of Potential Theory for
Nonhomogeneous Markov Processes . . . . 261--284
R. Sh. Liptser Gaussian Martingales and a
Generalization of the Kalman-Bucy Filter 285--301
G. P. Klimov and
A. D. Kuz'min Invariant Decision Procedures . . . . . 302--322
A. V. Nagaev Some Limit Theorems of Renewal Theory 323--336
G. Sh. Tsitsiashvili Piecewise-Linear Markov Chains and
Analysis of Their Stability . . . . . . 337--350
Z. Rychlik and
D. Szynal Convergence Rates in the Central Limit
Theorem for Sums of a Random Number of
Independent Random Variables . . . . . . 351--362
J. Wolfowitz Maximum Probability Estimators in the
Classical Case and in the ``Almost
Smooth'' Case . . . . . . . . . . . . . 363--371
T. V. Arak On an Estimate of A. A. Borovkov . . . . 372--373
V. S. Korolyuk On Ruin Problems for a Compound Poisson
Process . . . . . . . . . . . . . . . . 374--376
Yu. A. Kutoyants On a Problem of Testing Hypotheses and
Asymptotic Normality of Stochastic
Integrals . . . . . . . . . . . . . . . 376--384
G. L. Kulinich On the Estimation of the Drift Parameter
of a Stochastic Diffusion Equation . . . 384--387
T. P. Miroshnichenko Optimal Stopping of the Integral of a
Wiener Process . . . . . . . . . . . . . 387--391
V. V. Petrov An Inequality for Moments of a Random
Variable . . . . . . . . . . . . . . . . 391--392
S. V. Zulenev On Accelerated Stochastic Approximation 393--401
V. A. Liskovets On the Number of Maximal Vertices of a
Random Acyclic Digraph . . . . . . . . . 401--409
A. I. Il'inskii On the Zeros and the Argument of a
Characteristic Function . . . . . . . . 410--415
B. S. Tsirel'son An Example of a Stochastic Differential
Equation Having No Strong Solution . . . 416--418
T. Nagai On an Interpolation Problem for a
Certain Random Field . . . . . . . . . . 418--419
A. Ephremides On the Rank of the Projection of a
Random Process . . . . . . . . . . . . . 419--421
N. M. Yanev Conditions for Degeneracy of $ \varphi
$-Branching Processes with Random $
\varphi $ . . . . . . . . . . . . . . . 421--428
Anonymous Summary of Papers Presented at Sessions
of the Probability and Statistics
Section of the Moscow Mathematical
Society (February-October 1974) . . . . 428--443
Anonymous New Books . . . . . . . . . . . . . . . 444--446
A. A. Borovkov Asymptotically Optimal Tests for
Compound Hypotheses . . . . . . . . . . 447--469
S. I. Gusev Asymptotic Expansions Associated with
Some Statistical Estimators in the
Smooth Case. 1. Expansions of Random
Variables . . . . . . . . . . . . . . . 470--498
V. A. Ryasin Optimal Times and Sizes of Control
Impulses for Corrections Depending on
Trajectory Measurements . . . . . . . . 499--511
V. I. Rotar' Limit Theorems for Multilinear Forms and
Quasipolynomial Functions . . . . . . . 512--532
A. A. Grusho Limit Distribution of the Number of
Cyclic Points in a Random Mapping of
Bounded Leight . . . . . . . . . . . . . 533--544
G. I. Ivchenko On Some Distributions Connected with
Waiting Time in a Polynomial Scheme . . 545--559
V. V. Kalasnikov Certain Properties of Piecewise-Linear
Markov Processes . . . . . . . . . . . . 560--571
M. I. Freidlin On the Stability of Highly Reliable
Systems . . . . . . . . . . . . . . . . 572--583
A. L. Rukhin Invariant Statistics and
Characterizations of Probability
Distributions . . . . . . . . . . . . . 584--598
A. D. Vent-Tsel' On the Asymptotic Behavior of the First
Eigenvalue of a Second-Order
Differential Operator with Small
Parameter in Higher Derivatives . . . . 599--602
A. M. Zubkov Limiting Distributions of the Distance
to the Closest Common Ancestor . . . . . 602--612
N. M. Janev On the Statistics of Branching Processes 612--622
B. L. S. Prakasa Rao Characterization of Stochastic Processes
Determined Up to Shift . . . . . . . . . 623--626
S. V. Nagaev and
N. A. Volodin On the Strong Law of Large Numbers . . . 626--631
V. V. Gorodeckii On the Rate of Convergence for the
Multidimensional Invariance Principle 631--638
V. V. Vasjanin and
A. I. Linetskii The Mixing Rate of Stochastic Flows and
Non-Vanishing Sets . . . . . . . . . . . 638--641
G. M. Fel'dman On Generalized Poisson Distributions on
Groups . . . . . . . . . . . . . . . . . 641--644
L. S. Kudina On Decompositions of Radially Symmetric
Distributions . . . . . . . . . . . . . 644--648
A. E. Fryntov On the Factorization of Infinitely
Divisible Distributions . . . . . . . . 648--652
B. S. Tsirel'son Some Properties of Lacunary Series and
Gaussian Measures That are Connected
with Uniform Versions of the Egorov and
Luzin Properties . . . . . . . . . . . . 652--655
Yu. A. Davydov Local times for random fields . . . . . 652--654
A. A. Zinger On Samples with Identically Distributed
Linear Statistics . . . . . . . . . . . 655--660
Anonymous Summary of Reports Presented at Sessions
of the Probability and Statistics
Seminar in the Leningrad Section of the
Mathematical Institute of the USSR
Academy of Sciences . . . . . . . . . . 661--678
Anonymous Summary of Reports Presented at Sessions
of the Seminar on the theory of
Probability and Mathematical Statistics
in the Mathematical Institute of the
Academy of Sciences of the USSR . . . . 679--687
I. A. Ibragimov and
R. Z. Has'minskii Properties of Maximum Likelihood and
Bayes' Estimators for Non-Identically
Distributed Observations . . . . . . . . 689--697
V. M. Zolotarev and
V. M. Kruglov The Structure of Infinitely Divisible
Distributions on a Bicompact Abelian
Group . . . . . . . . . . . . . . . . . 698--709
Yu. M. Kabanov On Extended Stochastic Intervals . . . . 710--722
B. Ya. Levit On the Efficiency of a Class of
Non-Parametric Estimates . . . . . . . . 723--740
B. A. Lifshits On the Convergence of Moments in the
Central Limit Theorem for
Non-Homogeneous Markov Chains . . . . . 741--758
A. D. Bendikov On Functions that are Harmonic for a
Certain Class of Diffusion Processes on
a Group . . . . . . . . . . . . . . . . 759--769
E. L. Presman and
I. M. Sonin Equilibrium Points in a Game Related to
the Best Choice Problem . . . . . . . . 770--781
G. V. Martynov Computation of Distribution Functions of
Quadratic Forms of Normally Distributed
Random Variables . . . . . . . . . . . . 782--793
L. V. Rozovskii Asymptotic Expansions in the Central
Limit Theorem . . . . . . . . . . . . . 794--804
A. V. Nagaev and
T. P. Mukhomor A Limit Distribution of the Duration of
an Epidemic . . . . . . . . . . . . . . 805--818
V. M. Zolotarev On the Continuity of Stochastic
Sequences Generated by Recurrent
Processes . . . . . . . . . . . . . . . 819--832
V. M. Shurenkov A Note on a Multi-Dimensional Renewal
Equation . . . . . . . . . . . . . . . . 833--836
S. S. Daud A Limit Theorem for a Dynamical System
Corresponding to a $d$-Dimensional Ideal
Gas . . . . . . . . . . . . . . . . . . 836--839
R. Ya. Chitashvili A Controlled Finite Markov Chain with an
Arbitrary Set of Decisions . . . . . . . 839--847
V. S. Tsirel'son The Density of the Distribution of the
Maximum of a Gaussian Process . . . . . 847--856
E. A. Fainberg On Controlled Finite State Markov
Processes with Compact Control Sets . . 856--862
V. G. Mikhailov A Central Limit Theorem for the Number
of Partial Long Repetitions . . . . . . 862--866
H.-J. Rossberg and
G. Siegel Continuation of Convergence in the
Central Limit Theorem . . . . . . . . . 866--868
M. H. A. Davis On Stochastic Differentiation . . . . . 869--872
R. V. Erickson Truncation of Dependent Random Variables 873--880
V. I. Rotar' On the Distribution of a Quadratic Form
in Many Random Variables . . . . . . . . 880--882
G. V. Martynov Computation of Limit Distributions of
Statistics for Normality Tests of Type $
\omega^2 $ . . . . . . . . . . . . . . . 1--13
S. I. Gusev Asymptotic Expansions Associated with
Some Statistical Estimators in the
Smooth Case. II. Expansions of Moments
and Distributions . . . . . . . . . . . 14--33
A. B. Bernstein On Optimal Asymptotic Tests for
Composite Hypotheses under Non-Standard
Conditions . . . . . . . . . . . . . . . 34--47
V. F. Kolchin A Problem of the Allocation of Particles
in Cells and Random Mappings . . . . . . 48--63
Yu. G. Sinai Self-Similar Probability Distributions 64--80
Yu. I. Kifer Brownian Motion and Harmonic Functions
on Manifolds of Negative Curvature . . . 81--95
Jürgen Gärtner Theorems on Large Deviations for a
Certain Class of Random Processes . . . 96--107
B. A. Lifshits On the Accuracy of Approximation in the
Central Limit Theorem . . . . . . . . . 108--124
V. M. Kruglov Global Limit Theorems . . . . . . . . . 125--129
R. I. Rotar' Some Remarks on Summing Independent
Variables in the Non-Classical Case . . 130--137
E. M. Shukri Local Limit Theorems for Sums of
Weighted Independent Random Variables 137--144
M. I. Taksar On Events Connected with Reaching a Set
by Sample Paths of a Stochastic Process 144--148
I. L. Genis and
N. V. Krylov An Example of a One-Dimensional
Controlled Process . . . . . . . . . . . 148--152
A. A. Yushkevich Reduction of a Controlled Markov Model
with Incomplete Data to a Problem with
Complete Information in the Case of
Borel State and Control Space . . . . . 153--158
R. Ya. Chitashvili A Finite Controlled Markov Chain with
Small Termination Probability . . . . . 158--163
N. V. Elbakidze Construction of the Cost and Optimal
Policies in a Game Problem of Stopping a
Markov Process . . . . . . . . . . . . . 163--168
A. D. Bendikov A Continuity Criterion for One Class of
Markov Processes . . . . . . . . . . . . 169--171
Yu. A. Davydov On Local Times for Random Processes . . 171--178
B. S. Darkhovskh A Nonparametric Method for the a
Posteriori Detection of the ``Disorder''
Time of a Sequence of Independent Random
Variables . . . . . . . . . . . . . . . 178--183
A. S. Ambrosimov Asymptotic Normality of Sums of
Dependent Random Variables Considered by
B. A. Sevastyanov . . . . . . . . . . . 183--187
G. I. Ivchenko and
V. V. Levin Asymptotic Normality of a Class of
Statistics in the Multinomial Scheme . . 188--192
A. M. Gershanov and
S. K. Shamroni On Randomized Estimation in Problems
with a Discrete Parameter Space . . . . 192--197
V. L. Girko A Limit Theorem for Products of Random
Matrices . . . . . . . . . . . . . . . . 197--199
Kh. B. Kordonskii and
P. Ya. Rozenblit Unbiased Estimation of Moment
Polynomials . . . . . . . . . . . . . . 199--204
O. P. Vinogradov On Summing a Random Number of Random
Variables Having an Increasing Hazard
Rate or a Strongly Unimodal Distribution 205--209
Anonymous Summaries of Papers Presented at the
Sessions of the Probability and
Statistics Section of the Moscow
Mathematical Society (December
1974--October 1975) . . . . . . . . . . 209--219
S. V. Nagaev and
V. I. Rotor' Addendum: On Strengthening Lyapunov Type
Estimates . . . . . . . . . . . . . . . 220--220
Anonymous Review and Bibliography . . . . . . . . 221--222
Anonymous New Books . . . . . . . . . . . . . . . 223--225
A. A. Borovkov On the power of the $ c h i^2 $ test
with increasing number of class
intervals . . . . . . . . . . . . . . . 366--370
A. D. Ventsel' Rough Limit Theorems on Large Deviations
for Markov Stochastic Processes. I . . . 227--242
V. S. Korolyuk and
B. I. Suprun and
V. M. Shurenkov Method of Potential in Boundary Problems
for Processes with Independent Increases
and Jumps of the Same Sign . . . . . . . 243--249
V. M. Zolotarev On Stochastic Continuity of Queueing
Systems of Type $ G|G|1 $ . . . . . . . 250--269
V. V. Ul'yanov A Non-Uniform Estimate for the Speed of
Convergence in the Central Limit Theorem
in $R$ . . . . . . . . . . . . . . . . . 270--282
I. S. Borisov On the Rate of Convergence of
Distributions of Functionals of Integral
Type . . . . . . . . . . . . . . . . . . 283--299
A. A. Mogul'skii Large Deviations for Trajectories of
Multi-Dimensional Random Walks . . . . . 300--315
N. P. Rasulov On Asymptotically Efficient Estimates of
Regression Coefficients under Spectral
Density of Noise Degeneration . . . . . 316--324
E. B. Dynkin and
I. V. Evstigneev Regular Conditional Expectations of
Correspondences . . . . . . . . . . . . 325--338
O. K. Kozlov Gibbsian Description of Point Random
Fields . . . . . . . . . . . . . . . . . 339--356
S. V. Reznichenko Radio Waveguides and Diffusion Processes
on Differentiable Manifolds . . . . . . 357--369
B. I. Penkov Asymptotic Distribution of Pyke's
Statistic . . . . . . . . . . . . . . . 370--374
B. A. Rogozin Relatively Stable Walks . . . . . . . . 375--379
M. M. Diesperova On the Convergence of Statistical
Decisions in Problems of the Type of a
``Series-Scheme'' . . . . . . . . . . . 379--384
S. V. Nagaev and
M. S. Eppel' On a Local Limit Theorem for the Maximum
of Sums of Independent Random Variables 384--385
Nguyen Xuy Tien Remarks on the Convergence of Series of
Independent Random Elements with Values
in the Spaces $ l_p, 1 \leqq p < + \infty
$ . . . . . . . . . . . . . . . . . . . 386--388
A. A. Zinger and
A. M. Kagan On the Problem of Reconstruction of the
Type of a Distribution . . . . . . . . . 389--392
G. P. Klimov An Ergodic Theorem for Regenerating
Processes . . . . . . . . . . . . . . . 392--395
V. A. Abramov Estimates for the Lévy--Prokhorov
Distance . . . . . . . . . . . . . . . . 396--400
M. G. Shur An Ergodic Theorem for Markov Processes.
I . . . . . . . . . . . . . . . . . . . 400--406
N. I. Migai and
V. B. Nevzorov Limit Theorems for the First Passage
Time of a Certain Level . . . . . . . . 406--410
D. Kh Mushtari On a Probabilistic Characterization of
Hilbert Space . . . . . . . . . . . . . 410--412
V. M. Lebedev On a Condition for Uniqueness of the
Solution of a System of Stochastic
Differential Equations . . . . . . . . . 412--419
A. I. Fokht Distribution of the Size of the First
Jump over a Level for a Class of
Stochastic Processes . . . . . . . . . . 419--423
E. V. Sedunov On the Choice of a Method of Estimation
in a Design Procedure for Regression
Experiments which is Unbiased in the $
L_2 $ Metric . . . . . . . . . . . . . . 423--430
S. M. Movshovich On the Stability of a Random Price
Regulation Process . . . . . . . . . . . 430--435
V. M. Vatutin A Critical Bellman-Harris Branching
Process with Immigration and Several
Types of Particles . . . . . . . . . . . 435--442
Anonymous Summary of Reports Presented at Sessions
of the Probability and Statistics
Seminar in the Mathematical . . . . . . 442--446
Anonymous Letter to the Editors . . . . . . . . . 446--446
Anonymous New Books . . . . . . . . . . . . . . . 447--448
A. D. Aleshkyavichene Local Limit Theorems for the Density
Function of the Maximum of a Sum of
Independent Variables . . . . . . . . . 449--469
A. A. Mogul'skii On the Size of the First Jump for a
Process with Independent Increments . . 470--481
B. P. Kharlamov On Convergence of Semi-Markov Walks to a
Continuous Semi-Markov Process . . . . . 482--498
A. D. Ventsel' Rough Limit Theorems on Large Deviations
for Markov Stochastic Processes, II . . 499--512
Yu. I. Kifer On the Asymptotics of the Transition
Density of Processes with Small
Diffusion . . . . . . . . . . . . . . . 513--522
L. N. Prokopenko and
A. V. Skorokhod On Flows of Events in Semi-Ordered
Spaces . . . . . . . . . . . . . . . . . 523--533
V. M. Shurenkov Two Limit Theorems for Critical
Branching Processes . . . . . . . . . . 534--544
I. Akhmarov and
N. P. Leont'eva Conditions for Convergence to Limit
Processes and the Strong Law of Large
Numbers for Queueing Systems . . . . . . 545--556
A. V. Ivanov An Asymptotic Expansion for the
Distribution of the Least Squares
Estimator of the Non-Linear Regression
Parameter . . . . . . . . . . . . . . . 557--570
L. B. Klebanov A General Definition of Unbiasedness . . 571--585
V. A. Lebedev Moment Estimates of the Solution of a
System of Stochastic Differential
Equations . . . . . . . . . . . . . . . 586--593
M. V. Safonov Control of a Wiener Process When the
Number of Switches is Bounded . . . . . 593--599
L. I. Gal'chuk A Representation for Some Martingales 599--605
M. Ya. Kel'bert On Convergence of Discrete Schemes to
Continuous Ones in Some Problems of
Sequential Analysis . . . . . . . . . . 605--614
Z. G. Gorgadze and
Nguyen Xuy Tien Families of Gaussian Measures in Orlicz
Sequence Spaces . . . . . . . . . . . . 614--620
I. I. Ezhov and
V. M. Shurenkov Ergodic Theorems Connected with the
Markov Property of Random Processes . . 620--624
G. P. Butsan On the Orthogonality, with Respect to
Multiplicative Shifts, of White Noise
Defined on a Ring of Operators . . . . . 624--628
A. V. Skorokhod On a Representation of Random Variables 628--632
A. B. Mukhin On a Weak Form of a Local Limit Theorem 632--636
G. K. Eagleson Some Simple Conditions for Limit
Theorems to Be Mixing . . . . . . . . . 637--643
Joachim G. Hartung Some Inequalities for a Random Function 643--648
Anonymous Summary of Reports Presented at Sessions
of the Probability and Statistics
Seminar in the Leningrad Section of the
Mathematical Institute of the USSR
Academy of Sciences, 1975 . . . . . . . 648--665
Anonymous Review and Bibliography . . . . . . . . 666--668
B. A. Rogozin Asymptotics of Renewal Functions . . . . 669--686
A. V. Bulinskii and
I. G. Zhurbenko A Central Limit Theorem for Additive
Random Functions . . . . . . . . . . . . 687--697
R. Sh. Liptser On the Representation of Local
Martingales . . . . . . . . . . . . . . 698--705
V. Ya. Basis Infinite-Dimensional Markov Processes
with Almost Local Interaction of
Components . . . . . . . . . . . . . . . 706--720
V. M. Zolotarev Approximation of Distributions of Sums
of Independent Random Variables with
Values in Infinite-Dimensional Spaces 721--737
Yu. A. Koshevnik and
B. Ya. Levit On a Non-Parametric Analogue of the
Information Matrix . . . . . . . . . . . 738--753
V. I. Paulauskas On the Rate of Convergence in the
Central Limit Theorem in Certain Banach
Spaces . . . . . . . . . . . . . . . . . 754--769
M. A. Fedotkin On the Existence of an Ergodic
Distribution in a System with Variable
Structure for Servicing Conflicting
Flows . . . . . . . . . . . . . . . . . 770--779
V. V. Kvartskheliya and
Nguyen Xuy Tien The Central Limit Theorem and the Strong
Law of Large Numbers in the Spaces $
l_p(x), 1 \leqq p < + \infty $ . . . . . 780--790
M. V. Kozlov On the Asymptotic Behavior of the
Probability of Non-Extinction for
Critical Branching Processes in a Random
Environment . . . . . . . . . . . . . . 791--804
N. K. Arenbaev Asymptotic Behavior of the Multinomial
Dstribution . . . . . . . . . . . . . . 805--810
V. P. Nosko A Limit Theorem for a Probabilistic
Model of Corrosion . . . . . . . . . . . 811--818
M. I. Taksar A Formula for Wanderings of a Regular
Markov Process . . . . . . . . . . . . . 818--824
O. V. V'yugin Asymptotic Moments for Branching
Processes Close to Critical Ones . . . . 825--833
T. V. Ivanova and
G. I. Ivchenko A Sequential Test . . . . . . . . . . . 833--836
O. P. Vinogradov On Applications of An Inversion Formula
for the Laplace Transform . . . . . . . 836--839
V. A. Vatutin Limit Theorems for a Critical
Bellman-Harris Branching Process with
Infinite Variance . . . . . . . . . . . 839--842
E. A. Nadaraya On a Quadratic Measure of Deviation of
the Projection Estimate of a
Distribution Density . . . . . . . . . . 843--850
E. F. Tsar'kov Asymptotic Exponential Mean-Square
Stability of the Trivial Solution of
Stochastic Functional-Differential
Equations . . . . . . . . . . . . . . . 850--854
V. M. Shurenkov Kolmogorov's Equations for a Class of
Transition Functions . . . . . . . . . . 854--858
T. N. Siraya On the Multiplicity of a Sum of
Orthogonal Random Processes . . . . . . 858--863
R. N. Miroshin Convergence of Rice Longuet-Higgins
Series for a Wong Process . . . . . . . 863--866
Chandrakant M. Deo A Note on $ \varphi $-Mixing Random
Fields . . . . . . . . . . . . . . . . . 867--870
Anonymous Summary of Papers Presented at Sessions
of the Probability and Statistics
Section of the Moscow Mathematical
Society (November 1975--April 1976) . . 871--874
S. V. Nagaev Addendum: Probability Inequalities for
Sums of Independent Random Variables . . 875--875
Yu. Borkikh Letter to the Editor . . . . . . . . . . 875--876
Anonymous New Books . . . . . . . . . . . . . . . 877--877
Yu. I. Medvedev Separable Statistics in a Polynomial
Scheme. I . . . . . . . . . . . . . . . 1--15
A. I. Martikainen and
V. V. Petrov On Necessary and Sufficient Conditions
for the Law of the Iterated Logarithm 16--23
Jürgen Gärtner On Large Deviations from the Invariant
Measure . . . . . . . . . . . . . . . . 24--39
B. M. Kirstein and
P. Franken and
D. Stoyan Comparability and Monotonicity of Markov
Processes . . . . . . . . . . . . . . . 40--52
A. Barbarosie On the Theory of Controlled Markov
Processes . . . . . . . . . . . . . . . 53--69
A. M. Vershik and
A. A. Shimdt Limit Measures Arising in the Asympyotic
Theory of Symmetric Groups. I. . . . . . 70--85
V. V. Kalashnikov Stability Analysis in Queueing Problems
by a Method of Trial Functions . . . . . 86--103
K. O. Dzhaparidze Tests of Composite Hypotheses for Random
Variables and Stochastic Processes . . . 104--118
V. M. Shurenkov Transformations of Random Processes
Preserving the Markov Property . . . . . 119--123
S. V. Reznichenko Investigation of a System of
Coupled-Mode Equations with Small Random
Perturbations . . . . . . . . . . . . . 124--128
T. N. Siraya On Subordinate Processes . . . . . . . . 129--133
G. M. Fel'dman On the Decomposition of Gaussian
Distributions on Groups . . . . . . . . 133--140
V. A. Vatutin Asymptotic Behavior of the
Non-Extinction Probability of a Critical
Branching Process . . . . . . . . . . . 140--146
V. A. Vatutin Discrete Limit Distributions of the
Number of Particles in Critical
Bellman-Harris Branching Process . . . . 146--152
V. G. Mikhailov A Poisson Limit Theorem in the Scheme of
Group Disposal Paricles . . . . . . . . 152--156
V. L. Girko General Limit Theorems for Spectral
Functions of Random Matrices . . . . . . 156--160
L. A. Kalenskii Limit Theorems for Products of
Independent Triangular Matrices . . . . 160--166
A. A. Mogul'skii Remarks on Large Deviations for the $
\omega^2 $ Statistics . . . . . . . . . 166--171
V. V. Buldygin On Invariance of Bayes Estimates for
Generalized Random Variables . . . . . . 172--175
A. V. Pechinkin Some Limit Distributions for Processes
with Independent Increments . . . . . . 175--183
M. Riedel A New Version of the Central Limit
Theorem . . . . . . . . . . . . . . . . 183--184
V. A. Ivnitskii Reconstruction of Characteristics of a $
G I|M|1 $ System from Observations on
the Outgoing Flow . . . . . . . . . . . 184--187
M. L. Nikolaev On a Generalization of the Best Choice
Problem . . . . . . . . . . . . . . . . 187--190
Yu. A. Rozanov On Markov Extensions of a Random Process 190--195
T. L. Malevich Addendum: Some Bounds for the
Probabilities of Events Generated by
Gaussian Processes and Fields, and
Applications to Problems of Level
Crossings . . . . . . . . . . . . . . . 196--197
Anonymous Review and Bibliography . . . . . . . . 198--200
Anonymous New Books . . . . . . . . . . . . . . . 201--202
V. N. Tutubalin A Variant of the Local Limit Theorem for
Products of Random Matrices . . . . . . 203--214
A. A. Yushkevich Controlled Markov Models with Countable
State Space and Continuous Time . . . . 215--235
V. V. Yurinskii On the Error of the Gaussian
Approximation for Convolutions . . . . . 236--247
S. V. Nagaev and
I. F. Pinelis Some Inequalities for the Distribution
of Sums of Independent Random Variables 248--256
M. G. Shur On Dual Markov Processes . . . . . . . . 257--270
L. I. Gal'chuk A Generalization of Girsanov's Theorem
on Substitution of Measures to the Case
of Semi-Martingales with Jumps . . . . . 271--285
V. F. Gaposhkin Criteria for the Strong Law of Large
Numbers for Some Classes of Second-Order
Stationary Processes and Homogeneous
Random Fields . . . . . . . . . . . . . 286--310
S. V. Reznichenko The Structure of the Fundamental Matrix
of a System of Coupled-Mode Equations 311--325
A. V. Nagaev On a Property of Sums of Independent
Random Variables . . . . . . . . . . . . 326--338
I. N. Volodin Bounds for the Necessary Sample Size in
Statistical Classification Problems. I 339--348
H. Strasser Improved Bounds for Equivalence of Bayes
and Maximum Likelihood Estimation . . . 349--361
L. P. Postnikova and
A. A. Yudin On the Concentration Function . . . . . 362--366
A. A. Borovkov On the Power of the $ \chi^2 $ Test with
Increasing Number of Class Intervals . . 366--370
T. L. Malevich and
B. Abdalimov Stable Limit Distributions for
U-Statistics . . . . . . . . . . . . . . 370--377
A. B. Bernshtein On Optimal Asymptotic Tests of
Homogeneity . . . . . . . . . . . . . . 377--383
I. A. Ibragimov On Determining an Infinitely Divisible
Distribution Function by Its Values on a
Half-Line . . . . . . . . . . . . . . . 384--390
V. V. Kalashnikov Uniform Estimation of the Convergence
Rate in a Renewal Theorem for the Case
of Discrete Time . . . . . . . . . . . . 390--394
N. G. Gamkrelidze and
V. I. Rotar' On the Rate of Convergence in the Limit
Theorem for Quadratic Forms . . . . . . 394--397
A. V. Bulinskii On Normalization in the Law of the
Iterated Logarithm . . . . . . . . . . . 398--399
Yu. A. Kutoyant Estimation of the Trend Parameter of a
Diffusion Process in the Smooth Case . . 399--405
E. N. Krivyakov and
G. V. Martynov and
Yu. N. Tyurin On the Distribution of the $ \omega^2 $
Statistics in the Multi-Dimensional Case 406--410
V. V. Gorodetskii On the Strong Mixing Property for Linear
Sequences . . . . . . . . . . . . . . . 411--413
A. P. Korostelev On a Probabilistic Representation of a
Discontinuous Solution of a Parabolic
Equation . . . . . . . . . . . . . . . . 413--418
T. N. Siraya Canonical Representations of
Second-Order Random Processes . . . . . 418--424
Anonymous Review and Bibliography . . . . . . . . 425--429
A. I. Martikainen and
V. V. Petrov Addendum: On necessary and Sufficient
Conditions for the Law of the Iterated
Logarithm . . . . . . . . . . . . . . . 430--430
V. V. Yurinskii Addendum: On Infinitely Divisible
Distributions . . . . . . . . . . . . . 430--430
Anonymous New Books . . . . . . . . . . . . . . . 431--432
V. M. Zolotarev Ideal Metrics in the Problem of
Approximating Distributions of Sums of
Independent Random Variables . . . . . . 433--449
G. O. H. Katona Inequalities for the Distribution of the
Length of Random Vector Sums . . . . . . 450--464
V. A. Vatutin A Critical Galton--Watson Branching
Process with Emigration . . . . . . . . 465--481
A. N. Borodin A Limit Theorem for Solutions of
Differential Equations with Random
Right-Hand Side . . . . . . . . . . . . 482--497
V. V. Gorodetskii On Convergence to Semi-Stable Gaussian
Processes . . . . . . . . . . . . . . . 498--508
Yu. L. Pavlov The Asymptotic Distribution of Maximum
Tree Size in a Random Forest . . . . . . 509--520
P. F. Belyaev On the Joint Frequency Distribution of
Outcomes in Markov Chains with a Large
Number of States . . . . . . . . . . . . 521--532
V. A. Ivanov and
A. E. Novikov On the Distribution of the Time up to
the First Occurrence of a Given Number
of Different $ \ell $-Tuple Series . . . 533--542
Z. I. Bezaeva Conditional Markov Chains with a
Countable Set of States . . . . . . . . 543--553
V. G. Mikhailov An Estimate of the Rate of Convergence
to the Poisson Distribution in Group
Allocation of Particles . . . . . . . . 554--562
I. V. Evstigneev ``Markov Times'' for Random Fields . . . 563--569
A. M. Fal' Generalization of the Results Obtained
by R. L. Dobrushin for Additive
Functionals of a Markov Random Walk . . 569--571
L. I. Gal'chuk On the Existence of Optional
Modifications for Martingales . . . . . 572--573
N. K. Arenbaev Inequalities for Random Vectors . . . . 574--579
G. I. Jamukov Estimates of Generalized Dudley Metrics
in Spaces of Finite-Dimensional
Distributions . . . . . . . . . . . . . 579--583
V. M. Zolotarev Addendum: On the Error of the Gaussian
Approximation for Convolutions . . . . . 583--584
A. P. Korostelev A Convergence Criterion of Continuous
Stochastic Approximation Procedures . . 584--591
L. A. Mukantseva Testing Normality in One-Dimensional and
Multi-Dimensional Linear Regression . . 591--602
G. V. Martynov A Generalization of Smirnov's Formula
for the Distribution Functions of
Quadratic Forms . . . . . . . . . . . . 602--607
Yu. I. Medvedev Separable Statistics in a Polynomial
Scheme. II . . . . . . . . . . . . . . . 607--615
R. N. Miroshin Conditions for Finiteness of Moments of
the Number of Zeros of Stationary
Gaussian Processes . . . . . . . . . . . 615--625
Anonymous Summary of Reports Presented at Sessions
of the Probability and Statistics
Seminar in the Mathematical Institute of
the USSR Academy of Sciences 1976 . . . 625--635
Anonymous Summary of Reports Presented at Sessions
of the Probability and Statistics
Seminar in the Leningrad Section of the
Mathematical Institute of the USSR
Academy of Sciences, 1976 . . . . . . . 635--646
Anonymous Summary of Reports Presented at Sessions
of the Probability and Statistics
Seminar at T. G. Shevchenko Kiev State
University, 1975 . . . . . . . . . . . . 647--650
Anonymous New Books . . . . . . . . . . . . . . . 651--652
V. V. Yurinskii On the Approximation of Convolutions by
Normal Laws . . . . . . . . . . . . . . 653--667
A. A. Borovkov Some Estimates of the Rate of
Convergence in Stability Theorems . . . 668--678
V. M. Zolotarev Quantitative estimates for the
continuity property of queueing systems
of type $ G|G| \infty $ . . . . . . . . 679--691
M. G. Shur An Ergodic Theorem for Markov Processes.
II . . . . . . . . . . . . . . . . . . . 692--707
K. O. Dhaparidze Estimation of Parameters of a Spectral
Density with Fixed Zeroes . . . . . . . 708--729
I. N. Volodin Estimates of the Necessary Sample Size
in Problems of Statistical
Classifications . . . . . . . . . . . . 730--745
A. K. Polin Limit Theorems for Branching Processes
with Immigration . . . . . . . . . . . . 746--754
V. I. Rotar' Non-Classical Estimates of the Rate of
Convergence in the Multi-Dimensional
Central Limit Theorem. I . . . . . . . . 755--772
S. E. Kuznetsov Construction of a Regular Split Process 773--793
E. M. Kudlaev The Distribution of a Weighted Sherman
Statistic under Approaching Alternatives 794--804
Nguyen Zui Tien and
V. I. Tarieladze and
S. A. Chobanjan On Compactness of Families of
Second-Order Measures in a Banach Space 805--810
N. A. Volodin and
S. V. Nagaev A Remark on the Strong Law of Large
Numbers . . . . . . . . . . . . . . . . 810--813
N. P. Leont'eva Queueing Systems with Arbitrary Initial
Conditions . . . . . . . . . . . . . . . 813--818
A. A. Mogul'skii and
E. A. Pecerskii On the First Exit Time from a Semigroup
in $ R^m $ for a Random Walk . . . . . . 818--825
G. Sh. Lev Asymptotic Properties of the Extinction
Probability for a Markov Multiplication
Process . . . . . . . . . . . . . . . . 825--831
R. N. Miroshin Conditions of Local Nondeterminism of
Differentiable Gaussian Stationary
Processes . . . . . . . . . . . . . . . 831--836
O. V. V'yugin On Transition Phenomena in
Bellman-Harris Branching Process . . . . 836--840
V. G. Ushakov A Queueing System with Erlang Incoming
Flow and Relative Priority . . . . . . . 841--846
S. Ya. Sorgin Approximation of a Generalized Binomial
Distribution . . . . . . . . . . . . . . 846--850
I. I. Tsitovich On Estimating the Drift of a Diffusion
Process from Observations in a Domain 851--858
V. D. Konakov On a Global Measure of Deviation for an
Estimate of the Regression Line . . . . 858--868
A. D. Slastnikov On the Distribution of Certain Random
Determinants . . . . . . . . . . . . . . 868--876
N. G. Gamkrelidze Esseen's Inequality for
Multi-Dimensional Distribution Functions 877--880
A. G. Grin' Addendum: On Perturbations of Dynamical
Systems by Regular Gaussian Processes 881--881
V. M. Zolotarev Addendum: Approximation of Distributions
of Sums of Random Variables with Values
in Infinite-Dimensional Spaces . . . . . 881--881
Anonymous The Second Vilnius Conference on the
Theory of Probability and Mathematical
Statistics . . . . . . . . . . . . . . . 882--883
Anonymous New Books . . . . . . . . . . . . . . . 884--885
N. N. Vakhania and
V. I. Tarieladze Covariance Operators of Probability
Measures in Locally Convex Spaces . . . 1--21
V. V. Buldygin and
N. A. Pidsukha Comparison Theorems for Random Series in
Banach Spaces and Some Schemes of
Summation . . . . . . . . . . . . . . . 22--35
A. M. Vershik and
A. A. Shmidt Limit Measures Arising in the Asymptotic
Theory of Symmetric Groups, II . . . . . 36--49
V. I. Rotar' Non-Classical Estimates of the Rate of
Convergence in the Multi-Dimensional
Central Limit Theorem. II . . . . . . . 50--62
I. S. Borisov On the Rate of Convergence in the
``Conditional'' Invariance Principle . . 63--76
A. A. Balkema and
L. De Haan Limit Distributions for Order
Statistics. I . . . . . . . . . . . . . 77--92
G. I. Ivchenko and
V. V. Levin Asymptotic Normality in the Scheme of
Simple Random Sampling without
Replacement . . . . . . . . . . . . . . 93--105
L. V. Rozovskii On the Asymptotic Behavior of the
Remainder Term in the Central Limit
Theorem . . . . . . . . . . . . . . . . 106--116
I. I. Tsitovich On the Time of First Exit from a Domain 117--129
Yu. A. Davydov and
A. L. Rozin On a Characterization of Certain
Families of Measures . . . . . . . . . . 130--132
M. S. Tikhov On Optimal Sequential Estimation Plans
for Non-Quadratic Loss Functions . . . . 132--138
H. Fährmann On Optimal Stopping of a Wiener Process
with Incomplete Data . . . . . . . . . . 138--143
Yu. M. Kabanov The Capacity of a Channel of the Poisson
Type . . . . . . . . . . . . . . . . . . 143--147
V. A. Lebedev On the Uniqueness of a Relaxed Solution
of a System of Stochastic Differential
Equations . . . . . . . . . . . . . . . 147--155
B. A. Rogozin and
S. G. Foss Recurrency of an Oscillating Random Walk 155--162
O. V. V'yugin Transition Phenomena in Branching
Processes with Final Type . . . . . . . 163--168
D. I. Hadjiev On the Filtering of Semimartingales in
Case of Observations of Point Processes 169--178
V. I. Piterbarg The Central Limit Theorem for the Number
of Level Crossings of a Stationary
Gaussian Process . . . . . . . . . . . . 178--182
V. V. Kozlov A Limit Theorem for a Queueing System 182--187
P. Mateev On the Entropy of the Multinomial
Distribution . . . . . . . . . . . . . . 188--190
M. M. Lutsenko The Problem of $ \delta $-Meeting on a
$3$-Dimensional Ball . . . . . . . . . . 190--195
T. P. Miroshnichenko A Sequential Test of Two Simple
Hypotheses about the Mean of a Wiener
Process with Delayed Observations . . . 195--201
A. V. Kakosyan An Admissibility Condition for a Least
Squares Estimator in the Class of
Polynomial Estimators . . . . . . . . . 201--206
E. Hensz and
R. Jajte On a Class of Limit Laws . . . . . . . . 206--211
Anonymous Summary of Reports Presented at Sessions
of the Seminar on Probability Theory and
Mathematical Statistics at T. G.
Shevchenko Kiev State University, 1975 212--217
Anonymous Summary of Reports Presented at Sessions
of the Seminar on Probability Theory and
Mathematical Statistics at the Leningrad
Section of the Mathematical Institute of
the Academy of Sciences of the U.S.S.R.,
1977 . . . . . . . . . . . . . . . . . . 218--224
Anonymous New Books . . . . . . . . . . . . . . . 225--226
R. Z. Khas'minskij A lower bound on the risks of
non-parametric estimates of densities in
the uniform metric . . . . . . . . . . . 794--798
A. A. Borovkov Ergodicity and Stability Theorems for a
Class of Stochastic Equations and Their
Applications . . . . . . . . . . . . . . 227--247
O. V. Gerlejn and
R. Pincus Goodness-Of-Fit Tests Based on a Measure
of Discrepancy between Two Scalar
Products . . . . . . . . . . . . . . . . 248--258
I. S. Badalbaev and
I. Rakhimov Critical Branching Processes with
Immigration of Decreasing Intensity . . 259--268
V. M. Zolotarev On Pseudomoments . . . . . . . . . . . . 269--278
B. A. Lifshits On the Central Limit Theorem for Markov
Chains . . . . . . . . . . . . . . . . . 279--296
E. A. Fainberg The Existence of a Stationary $
\varepsilon $-Optimal Policy for a
Finite Markov Chain . . . . . . . . . . 297--313
G. P. Klimov Time-Sharing Service Systems. II . . . . 314--321
A. D. Slastnikov Limit Theorems for Moderate Deviation
Probabilities . . . . . . . . . . . . . 322--340
A. A. Balkema and
L. de Haan Limit Distributions for Order
Statistics. II . . . . . . . . . . . . . 341--358
L. P. Postnikova and
A. A. Yudin A Sharper Form of the Inequality for the
Concentration Function . . . . . . . . . 359--362
A. I. Martikainen On the Law of the Iterated Logarithm for
Perturbed and Weighted Sums . . . . . . 362--365
M. B. Nevel'son A Note on the Asymptotic Estimation of
the Extreme Point of a Regression
Function . . . . . . . . . . . . . . . . 365--370
B. Ya. Levit Infinite-Dimensional Informational
Inequalities . . . . . . . . . . . . . . 371--377
O. A. Glonti On Mutual Information of Signals in the
Case of Transmission over a ``noisy''
Feedback Channel . . . . . . . . . . . . 377--379
A. V. Skorokhod Linear and Almost Linear Functionals on
a Measurable Hilbert Space . . . . . . . 380--385
V. B. Bagdonavicius A Statistical Test of a Model of
Additive Accumulation of Damage . . . . 385--390
A. A. Novikov Recurrent Interpolation of Partially
Observed Random Fields with Discrete
Parameter . . . . . . . . . . . . . . . 390--395
G. N. Mil'shtein A Method of Second-Order Accuracy
Integration of Stochastic Differential
Equations . . . . . . . . . . . . . . . 396--401
V. M. Shurenkov Limit Distribution of the Exit Time From
an Expanding Interval and of the
Position at Exit Time of a Process with
Independent Increments and One-Signed
Jumps . . . . . . . . . . . . . . . . . 402--407
V. V. Sazonov and
V. G. Mirantsev On the Central Limit Theorem in $ R^K $ 407--411
A. S. Kholevo On Asymptotically Optimal Hypothesis
Testing in Quantum Statistics . . . . . 411--415
I. V. Evstigneev and
A. I. Ovseevich ``Splitting times'' for Random Fields 415--419
A. S. Ambrosimov On the Asymptotic Behavior of the
Maximum in a Homogeneous Markov Chain
with a Large Number of States . . . . . 419--426
E. F. Tsar'kov Exponential $p$-Stability of Trivial
Solutions of Stochastic
Functional-Differential Equations . . . 426--429
T. Kühn and
F. Liese A Short Proof of the Hájek--Feldman
Theorem . . . . . . . . . . . . . . . . 429--431
Anonymous Summary of Papers Presented at Sessions
of the Probability and Statistics
Seminary at the T. G. Shevchenko Kiev
State University, 1975 . . . . . . . . . 431--439
Anonymous Summary of Papers Presented at Sessions
of the Probability and Statistics
Seminar in the Mathematical Institute of
the USSR Academy of Sciences, 1977 . . . 439--457
V. I. Paulauskas Addendum: On the Rate of Convergence in
the Central Limit Theorem in Certain
Banach Spaces . . . . . . . . . . . . . 458--458
Anonymous New Books . . . . . . . . . . . . . . . 459--460
L. N. Bol'shev and
M. Mirvaliev Chi Square Goodness-of-Fit Test for the
Poisson, Binomial and Negative Binomial
Distributions . . . . . . . . . . . . . 461--474
V. D. Konakov Complete Asymptotic Expansions for the
Maximum Deviation of the Empirical
Density Function . . . . . . . . . . . . 475--489
L. V. Osipov On Large Deviation Probabilities for
Sums of Independent Random Vectors . . . 490--506
R. V. Yanushkyavichyus On Estimates of the Stability Measure
for Decompositions of Probability
Distributions into Components . . . . . 507--520
D. A. Moskvin and
A. G. Postnikov A Local Limit Theorem for the
Distribution of Fractional Parts of an
Exponential Function . . . . . . . . . . 521--528
G. M. Fel'dman Gaussian Distributions on Locally
Compact Abelian Groups . . . . . . . . . 529--542
B. V. Ryazanov Spectra of Random Gaussian $g$-Cyclic
Matrices . . . . . . . . . . . . . . . . 543--558
Yu. R. Dashyan On a Local Limit Theorem for a Class of
Random Point Fields Arising in
Statistical Quantum Mechanics . . . . . 559--572
Yu. A. Davydov Local Times for Multiparameter Random
Processes . . . . . . . . . . . . . . . 573--583
R. Cowan and
J. Zabczyk An Optimal Selection Problem Associated
with the Poisson Process . . . . . . . . 584--592
I. A. Ibragimov and
N. M. Khalfina Some Asymptotic Results Related to the
Chauvenet Test . . . . . . . . . . . . . 593--597
M. Mirvaliev The Rejection of Outlying Observations
in Regression Analysis . . . . . . . . . 598--602
V. V. Godovanchuk Probabilities of Large Deviations for
Sums of Independent Random Variables
Attracted to a Stable Law . . . . . . . 602--608
I. F. Pinelis On the Distribution of Sums of
Independent Random Variables with Values
in a Banach Space . . . . . . . . . . . 608--615
S. V. Zhulenev and
V. S. Medovyj The Strong Law of Large Numbers and
Normality of Kesten' Procedure . . . . . 615--621
V. A. Ivanov and
S. Yu. Terebulin Some Limit Theorems in a
Non-Equiprobable Scheme for the
Allocation of Particles in Groups . . . 621--627
C. M. Deo and
S. F. Wong On Quadratic Variation of Gaussian
Random Fields . . . . . . . . . . . . . 628--633
Yu. A. Davydov and
A. L. Rozin On Sojourn Times for Functions and
Random Processes . . . . . . . . . . . . 633--637
A. N. Borodin Quasi-Martingales . . . . . . . . . . . 637--641
Yu. A. Kutoyants Estimation of a Parameter of a Diffusion
Process . . . . . . . . . . . . . . . . 641--649
G. D. Kartashov and
N. M. Chiganova On Finding Interval Estimates by the
Method of L. N. Bol'shev and \'E. A.
Loginov . . . . . . . . . . . . . . . . 649--652
L. S. Ponomarenko Inequalities for Distributions of
Quadratic Forms in Normal Random
Variables . . . . . . . . . . . . . . . 652--656
L. S. Ponomarenko An Inequality for Distributions of
Quadratic Forms of Normally Distributed
Random Variables . . . . . . . . . . . . 656--660
V. V. Ul'yanov On More Precise Convergence Rate
Estimates in the Central Limit Theorem 660--663
R. Z. Salakhutdinov On Refining the Remainder Term in the
Central Limit Theorem . . . . . . . . . 663--667
S. Ya. Shorgin A Non-Classical Estimate of the Speed of
Convergence in the Multidimensional
Central Limit Theorem Taking into
Account Large Deviations . . . . . . . . 667--671
V. A. Labkovskii Addendum: On a Property of a ``Waiting
Process'' . . . . . . . . . . . . . . . 672--674
Anonymous New Books . . . . . . . . . . . . . . . 675--676
A. A. Borovkov Ergodic Theorems and Stability for Walks
in a Strip and their Application . . . . 677--685
R. L. Dobrushin and
R. A. Minlos The Moments and Polynomials of a
Generalized Random Field . . . . . . . . 686--699
G. P. Klimov Limit Theorems for Homogeneous Markov
Processes . . . . . . . . . . . . . . . 700--711
L. V. Rozovskii On the Precision of an Estimate of the
Remainder Term in the Central Limit
Theorem . . . . . . . . . . . . . . . . 712--730
N. P. Rasulov and
A. S. Kholevo A Regression Problem for Time-Continuous
Processes . . . . . . . . . . . . . . . 731--740
L. D. Meshalkin and
V. I. Serdobol'skii Errors in the Classification of
Multi-Variate Observations . . . . . . . 741--750
L. I. Gal'chuk Existence and Uniqueness of a Solution
for Stochastic Equations with Respect to
Semimartingales . . . . . . . . . . . . 751--763
G. I. Ivchenko and
Yu. I. Medvedev Separable Statistics and Hypothesis
Testing. The Case of Small Samples . . . 764--775
V. A. Vatutin A limit Theorem for a Critical
Bellman-Harris Branching Process with
Several Types of Particles and Infinite
Second Moments . . . . . . . . . . . . . 776--788
A. M. Zubkov and
V. G. Mikhailov An Estimate of the Accuracy of a Poisson
Approximation in the Problem of
Allocating Particles in Cells . . . . . 789--794
R. Z. Khas'minskii A Lower Bound on the Risks of
Non-Parametric Estimates of Densities in
the Uniform Metric . . . . . . . . . . . 794--798
L. B. Klebanov Some Problems of Characterizing
Distributions Arising in Reliability
Theory . . . . . . . . . . . . . . . . . 798--801
P. I. Maister Expectation of a Time-Continuous
Branching Diffusion Process . . . . . . 801--805
P. N. Sapozhnikov Minimax and Uniformly Best Unbiased
Estimates Based on Finite Statistical
Structure with Quadratic Loss . . . . . 805--811
O. E. Tsitritskii and
L. N. Mironyuk On the Riesz--Markov Theorem for
Vector-Valued Stochastic Measures . . . 811--814
M. Mirvaliev Rejection of Outlying Results of Angular
Measurements . . . . . . . . . . . . . . 814--819
G. N. Mil'shtejn On the Probability-Theoretic Solution of
Linear Systems of Elliptic and Parabolic
Equations . . . . . . . . . . . . . . . 820--824
O. A. Glonti On a Representation of an Optimal
Filtration Estimate of Markov Processes
Controlled by Stochastic
Integro-Differential Equations in
Partial Derivatives . . . . . . . . . . 824--829
Anonymous Summary of Reports Presented at Sessions
of the Probability and Statistics
Seminar at the Leningrad Section of the
Mathematical Institute of the USSR
Academy of Sciences, 1977 . . . . . . . 829--840
Anonymous Summary of Reports Presented at Sessions
of the Probability and Statistics
Seminar at the Kiev T. G. Shevchenko
State University, 1977 . . . . . . . . . 841--852
A. A. Novikov and
A. S. Kholevo The Twelfth All-Union Seminar on
Probability Theory and Mathematical
Statistics . . . . . . . . . . . . . . . 853--853
Anonymous New Books . . . . . . . . . . . . . . . 855--856
V. N. Tutubalin A New Form of the Law of Large Numbers 1--15
A. K. Aleshkyavichene On the Probabilities of Large Deviations
for the Maximum of Sums of Independent
Random Variables . . . . . . . . . . . . 16--33
A. N. Borodin A Stochastic Approximation Procedure in
the Case of Weakly Dependent
Observations . . . . . . . . . . . . . . 34--52
V. M. Shurenkov Boundary Conditions and an Ergodic
Theorem for Processes with Independent
Increments . . . . . . . . . . . . . . . 53--61
N. I. Portenko Diffusion Processes with Generalized
Drift Coefficients . . . . . . . . . . . 62--78
P. Franken and
A. Streller Stationary Generated Regenerative
Processes . . . . . . . . . . . . . . . 79--90
M. P. Ershov On Weak Compactness of Continuous
Semi-Martingales . . . . . . . . . . . . 91--106
M. V. Burnashev On the Minimax Detection of an
Inaccurately Known Signal in a White
Gaussian Noise Background . . . . . . . 107--119
I. N. Volodin Lower Bounds for Average Sample Size and
Efficiency of Statistical Inference
Procedures . . . . . . . . . . . . . . . 120--129
V. I. Serdobol'skii On Classification Errors Induced by
Sampling . . . . . . . . . . . . . . . . 130--144
Anonymous Login Nikolaevich Bol'shev . . . . . . . 145--146
A. V. Mel'nikov On Strong Solutions of Stochastic
Differential Equations with Nonsmooth
Coefficients . . . . . . . . . . . . . . 147--150
D. S. Sil'vestrov Remarks on the Weak Limit of the
Superposition of asymptotically
Independent Random Functions . . . . . . 151--156
A. A. Yushkevic and
E. A. Fainberg On Homogeneous Markov Models with
Continuous Time and Finite or Countable
State Space . . . . . . . . . . . . . . 156--161
S. M. Krasnitskii Some Examples of Equivalent and
Orthogonal Gaussian Distributions . . . 161--165
Nguen Zuy Tien The Structure of Measurable Linear
Functionals on Banach Spaces with
Gaussian Measures . . . . . . . . . . . 165--168
G. P. Butsan On the Mixed Product of Nonhomogeneous
Stochastic Semi-Groups . . . . . . . . . 168--175
N. N. Leonenko and
M. I. Yadrenko On the Invariance Principle for
Homogeneous and Isotropic Random Fields 175--181
V. P. Nosko On the Average Number of Distinctive
Level Curve Points of a Random Field on
the Plane . . . . . . . . . . . . . . . 181--183
N. M. Zinchenko Local Growth of Random Fields with
Independent Increments . . . . . . . . . 184--191
V. I. Afanas'ev A Conditional Random Walk with a
Negative Drift . . . . . . . . . . . . . 192--199
L. A. Grigorenko On the $ \sigma $-Algebra of Symmetric
Events for a Countable Markov Chain . . 199--204
G. Schopf On the Conjugate Orders and Types of the
Rate of Decrease of a Multi-Variate
Probability Law . . . . . . . . . . . . 204--206
I. Seiffert and
M. Riedel Uniqueness of Two Factorization Problems 207--211
Yu. N. Vladimirskii On Topological Properties of
Countably-Additive Cylindrical Measures 211--215
T. L. Malevich and
B. Abdalimov Large Deviation Probabilities for
U-Statistics . . . . . . . . . . . . . . 215--219
A. M. Gershanov The Optimal Estimation of a Discrete
Parameter . . . . . . . . . . . . . . . 220--224
Anonymous Summary of Reports Presented at Sessions
of the Seminar on the Theory of
Probability and Mathematical Statistics
at the Mathematical Institute of the
Academy of Sciences of the USSR, 1978 224--236
A. Borovkov Addendum: Ergodic Theorems and Stability
for Walks in a Band and Their
Applications . . . . . . . . . . . . . . 237--237
V. V. Ul'yanov Addendum: On More Precise Convergence
Rate Estimates in the Central Limit
Theorem . . . . . . . . . . . . . . . . 237--237
Anonymous New Books . . . . . . . . . . . . . . . 238--239
G. K. Golubev and
R. Z. Khas'minskij Estimation in Gaussian white noise using
a finite number of linear statistics . . 274--286
A. V. Bulinski and
A. N. Kolmogorov Linear Sampling Estimates of Sums . . . 241--252
L. S. Vorob'ev and
I. G. Zhurbenko Bounds for $ C(\alpha) $-Tests and Their
Applications . . . . . . . . . . . . . . 253--268
A. M. Zubkov and
V. G. Mikhailov Repetitions of $s$-Tuples in a Sequence
of Independent Trials . . . . . . . . . 269--282
E. V. Khmaladze The Use of $ \omega^2 $ Tests for
Testing Parametric Hypotheses . . . . . 283--301
A. P. Korostelev Damping Perturbations of Dynamical
Systems and Convergence Conditions for
Recursive Stochastic Procedures . . . . 302--321
A. K. Aleshkyavichene On the Probabilities of Large Deviations
for the Maximum of Sums of Independent
Random Variables. II . . . . . . . . . . 322--337
N. I. Portenko Stochastic Differential Equations with
Generalized Drift Vector . . . . . . . . 338--353
A. Yu. Veretennikov On the Strong Solutions of Stochastic
Differential Equations . . . . . . . . . 354--366
A. D. Virtser On Products of Random Matrices and
Operators . . . . . . . . . . . . . . . 367--377
R. Döhler Some Properties of Discrete Randomized
Times . . . . . . . . . . . . . . . . . 378--387
A. A. Zinger On a Characterization of the
Multi-Dimensional Normal Law by the
Independence of Linear Statistics . . . 388--392
M. S. Nikulin Hypothesis Testing for a Parameter
Difference in Binomial Distributions . . 392--396
V. M. Shurenkov On Additive Functionals of Branching
Processes . . . . . . . . . . . . . . . 396--401
N. N. Popov On the Rate of Convergence for Countable
Markov Chains . . . . . . . . . . . . . 401--405
A. A. Mogul'skii On the Law of the Iterated Logarithm in
Chung's Form for Functional Spaces . . . 405--413
G. I. Salov On a Stochastic Approximation Theorem in
a Hilbert Space and Its Applications . . 413--419
N. A. Bogomolov Confidence Regions for Unimodal and
Symmetric Distribution Functions . . . . 419--423
I. Akhmarov On the Rate of Convergence in Ergodicity
and Continuity Theorems for Multichannel
Queuing Systems . . . . . . . . . . . . 423--430
D. N. Shanbhag Diagonality of the Bhattacharyya Matrix
As a Characterization . . . . . . . . . 430--433
Anonymous Summary of Reports Presented at Sessions
of the Probability and Statistics
Seminar at the Leningrad Section of the
Mathematical Institute of the USSR
Academy of Sciences, 1978 . . . . . . . 433--441
Anonymous Summary of Reports Presented at Sessions
of the Probability and Statistics
Seminar at the Kiev T. G. Chevchenko
State University, 1978 . . . . . . . . . 442--447
Z. I. Bezhaeva Addendum: Conditional Markov Chains with
a Countable Set of States . . . . . . . 448--449
V. V. Gorodetskii Addendum: On Convergence to Semi-Stable
Gaussian Processes . . . . . . . . . . . 449--449
A. A. Borovkov Addendum: Some Estimates of the Rate of
Convergence in Stability Theorems . . . 449--450
Anonymous New Books . . . . . . . . . . . . . . . 451--452
D. M. Chibisov Asymptotic Expansions for Partial
Moments . . . . . . . . . . . . . . . . 453--466
T. P. Miroshnichenko Testing of Two Simple Hypotheses in the
Presence of Delayed Observations . . . . 467--479
V. I. Lotov Asymptotic Analysis of Distributions in
Problems with Two Boundaries. I . . . . 480--491
S. Ye. Kuznetsov Behavior of Excessive Functions Along
Trajectories of a Markov Process . . . . 492--508
V. A. Vatutin Discrete Limit Distributions of the
Number of Particles in a Bellman-Harris
Branching Process with Several Types of
Particles . . . . . . . . . . . . . . . 509--520
G. A. Agasandyan Adaptive Systems for Homogeneous
Processes with Continuous Sets of States
and Control Parameters . . . . . . . . . 521--535
E. I. Kaplan and
D. S. Sil'vestrov Theorems of the Invariance Principle
Type for Recurrent Semi-Markov Processes
with Arbitrary Phase Space . . . . . . . 536--547
A. F. Ronzhin On Limit Theorems for Sums of Dependent
Random Variables . . . . . . . . . . . . 549--559
V. T. Dubrovin and
D. A. Moskvin The Central Limit Theorem for Sums of
Functions of Mixing Sequences . . . . . 560--571
A. V. Nagaev Renewal Theorems in $ R^d $ . . . . . . 572--581
Yu. N. Vladimirskii Conditions under which a Cylindrical
Measure on a Dual Banach Space May Be
Extended to a Radon Measure . . . . . . 582--587
D. Kh. Mushtari Lévy Type Criteria for Weak Convergence
of Probabilities in Fréchet Spaces . . . 587--592
V. A. Shalaumov On the Behavior of a Diffusion Process
with a Large Drift Coefficient in a
Halfspace . . . . . . . . . . . . . . . 592--598
V. P. Nosko On the Definition of the Number of
Excursions of a Random Field Above a
Fixed Level . . . . . . . . . . . . . . 598--602
A. Brandstädt On a Property of Homogeneous Gaussian
$L$-Fields . . . . . . . . . . . . . . . 602--606
N. V. Kartashov Power Estimates for the Convergence Rate
in a Renewal Theorem . . . . . . . . . . 606--612
David R. McDonald On Local Limit Theorem for
Integer-Valued Random Variables . . . . 613--619
Z. Rychlik and
D. Szynal On the Rate of Approximation in the
Random-Sum Central Limit Theorem . . . . 620--625
I. S. Shiganov Some Estimates of the Accuracy of
Approximation in the Multi-Dimensional
Central Limit Theorem . . . . . . . . . 626--629
M. A. Lifshits On Representation of Lévy's Fields by
Indicators . . . . . . . . . . . . . . . 629--633
K. N. Maksimov Limit Distributions of a Random Variable
Defined on a Markov Chain . . . . . . . 633--636
S. N. Antonov Probability Inequalities for Series of
Independent Random Variables . . . . . . 636--640
I. N. Volodin Lower Bounds for the Mean Sample Size in
Goodness-of-Fit and Homogeneity Tests 640--649
L. B. Klebanov When Does a Quadratic Statistic Have a
Constant Regression on a Sample Mean? 649--651
Anonymous Summary of Papers Presented at Sessions
of the Probability and Statistics
Seminar at the T. G. Shevchenko Kiev
State University, 1978 . . . . . . . . . 651--656
Anonymous Summary of Papers Presented at Sessions
of the Probability and Statistics
Seminar in the Mathematical Institute of
the USSR Academy of Sciences, 1978 . . . 656--672
A. D. Ventsel' Rough Limit Theorems on Large Deviations
for Markov Stochastic Processes. III . . 675--692
H.-J. Rossberg Limit Theorems for Identically
Distributed Summands Asuming the
Convergence of the Distribution
Functions on a Half Axis . . . . . . . . 693--711
V. M. Kruglov The Sum and the Order Statistics of
Independent Random Variables . . . . . . 712--728
V. L. Girko The Central Limit Theorem for Random
Determinants . . . . . . . . . . . . . . 729--740
T. L. Malevich On Conditions for the Moments of the
Number of Zeros of Gaussian Stationary
Processes to Be Finite . . . . . . . . . 741--754
A. N. Borodin Some Limit Theorems for Processes with
Random Time . . . . . . . . . . . . . . 755--771
N. V. Krylov On the Equivalence of $ \sigma
$-Algebras in the Filtering Problem of
Diffusion Processes . . . . . . . . . . 772--781
V. V. Shergin On the Convergence Rate in the Central
Limit Theorem for $m$-Dependent Random
Variables . . . . . . . . . . . . . . . 782--796
Nguen Zuy Tien On Kolmogorov's Three Series Theorem and
Mean Square Convergence of Martingales
in a Banach Space . . . . . . . . . . . 797--808
T. A. Skorokhod On Convergence of Infinite Products of
Independent Random Linear Operators in a
Hilbert Space . . . . . . . . . . . . . 809--813
A. I. Martikainen On Necessary and Sufficient Conditions
for the Strong Law of Large Numbers . . 813--820
A. A. Novikov On Conditions for Uniform Integrability
of Continuous Non-Negative Martingales 820--824
B. Jesiak On Analytic Distribution Functions and
Analytic Properties of Infinitely
Divisible Distribution Functions . . . . 824--830
G. Siegel Uniqueness of Symmetric Distribution
Functions Defined on Bounded Sets and
Its Applications . . . . . . . . . . . . 830--833
R. Vasudeva Functional Law of the Iterated Logarithm
for I.I.D. Random Variables Attracted to
a Completely Asymmetric Stable Law . . . 833--838
V. T. Dubrovin and
D. A. Moskvin Large Deviation Probabilities for Sums
of Functions of Mixing Sequences . . . . 838--845
R. N. Miroshin Second-Order Markov and Reciprocal
Stationary Gaussian Processes . . . . . 845--852
N. A. Geodakov A Local Markov Property for Gaussian
Stationary Processes . . . . . . . . . . 852--856
N. N. Amosova On Moderate Deviation Probabilities for
Sums of Independent Random Variables . . 856--863
S. I. Pisanets On the Strong Convergence of a Sequence
of Diffusion Type Processes . . . . . . 863--869
V. I. Lotov Asymptotic Analysis of Distributions in
Problems with Two Boundaries. II . . . . 869--876
G. Sh. Lev On the Distribution of the Absorption
Time for a Semi-Markov Multiplication
Process . . . . . . . . . . . . . . . . 876--882
V. I. Pagurova and
V. V. Gurskii A Confidence Interval for the Common
Mean of Several Normal Distributions . . 882--888
Anonymous The Thirteenth All-Union Colloquium on
Probability Theory and Mathematical
Statistics . . . . . . . . . . . . . . . 888--890
Anonymous New Books . . . . . . . . . . . . . . . 891--896
D. M. Chibisov Asymptotic Behavior of Partial Densities
and their Derivatives . . . . . . . . . 1--15
A. V. Bernshtein On the Construction of Majorizing Tests 16--26
S. Yu. Efroimovich On Sequential Estimation under the
Conditions of Local Asymptotic Normality 27--40
S. V. Anulova On Control of a Wiener Process in a
Half-Plane with Oblique Reflection on
the Boundary . . . . . . . . . . . . . . 41--57
A. A. Yushkevich On Reducing a Jump Controllable Markov
Model to a Model with Discrete Time . . 58--69
E. A. Fainberg An $ \varepsilon $-Optimal Control of a
Finite Markov Chain with an Average
Reward Criterion . . . . . . . . . . . . 70--81
V. G. Mikhailov Asymptotic Normality of the Number of
Empty Cells for Group Allocation of
Particles . . . . . . . . . . . . . . . 82--90
U. Zähle A Poisson Limit Theorem for Rare Events
of a Gaussian Sequence . . . . . . . . . 91--104
D. Kh. Mushtari Spaces of Cotype $ p(0 \leqq p \leqq 2)
$ . . . . . . . . . . . . . . . . . . . 105--117
Dang Hung Thang and
Nguyen Duy Tien On Symmetric Stable Measures on Spaces $
l_p (1 \leqq p \leqq + \infty) $ . . . . 118--127
M. Riedel On a Characterization Problem in the
Queueing Model $ G I|G|1 $ . . . . . . . 128--138
A. V. Skorokhod On Measurability of Stochastic Processes 139--141
M. G. Shur On Continuity Criteria for Markov
Processes . . . . . . . . . . . . . . . 141--147
B. L. Rozovskii On Conditional Distributions of
Degenerate Diffusion Processes . . . . . 147--151
I. V. Pavlov A Counterexample to the Conjecture that
$ H^\infty $ is Dense in BMO . . . . . . 152--154
M. Nikunen On the Weak Compactness of a Family of
Measures Corresponding to Continuous
Strong Markov Processes . . . . . . . . 155--159
V. Linde and
V. I. Tarieladze and
S. A. Chobanyan Characterization of Certain Classes of
Banach Spaces by Properties of Gaussian
Measures . . . . . . . . . . . . . . . . 159--164
N. V. Krylov and
T. P. Miroshnichenko On Extending the Optimality Region of
Wald's Test . . . . . . . . . . . . . . 165--169
V. F. Gaposhkin Almost Sure Convergence of Estimates for
the Spectral Density of a Stationary
Process . . . . . . . . . . . . . . . . 169--176
A. L. Miroshnikov and
B. A. Rogozin Inequalities for the Concentration
Function . . . . . . . . . . . . . . . . 176--180
V. A. Egorov On the Rate of Convergence to a Stable
Law . . . . . . . . . . . . . . . . . . 180--187
R. J. Serfling On the Strong Law of Large Numbers and
Related Results for Quasi-Stationary
Sequences . . . . . . . . . . . . . . . 187--191
A. I. Martikainen and
V. V. Petrov On a Theorem of Feller . . . . . . . . . 191--193
O. M. Chernomordik On a Non-Parametric Test of Homogeneity
of Several Samples . . . . . . . . . . . 194--197
Anonymous Summary of Reports Presented at Sessions
of the Probability and Statistics
Seminar at T. G. Shevchenko Kiev State
University, 1979 . . . . . . . . . . . . 197--203
Anonymous Summary of Reports Presented at Sessions
of the Seminar in Probability Theory and
Mathematical Statistics at the Institute
of Mathematics of the Siberian Section
of the Academy of Sciences of the USSR,
1979 . . . . . . . . . . . . . . . . . . 203--213
S. M. Krasnitskii Addendum: Some Examples of Equivalent
and Orthogonal Gaussian Distributions 214--214
S. V. Reznichenko Addendum: Investigation of a System of
Coupled-Mode Equations with Small Random
Perturbations . . . . . . . . . . . . . 214--214
A. N. Livshits Addendum: On the Isomorphism Problem for
Bernoulli Schemes . . . . . . . . . . . 214--215
A. A. Yushkevich and
E. A. Fainberg Addendum: On Homogeneous Controlled
Markov Models with Continuous Time and
Finite or Countable Number of States . . 215--215
Anonymous Reviews and Bibliography . . . . . . . . 216--217
Anonymous New Books . . . . . . . . . . . . . . . 218--219
T. V. Arak On the Approximation of $n$-Fold
Convolutions of Distributions having
Non-Negative Characteristic Functions
with Accompanying Laws . . . . . . . . . 221--243
A. A. Yushkevich Controlled Jump Markov Models . . . . . 244--266
V. G. Alekseev On Estimation of Some Functionals of
Spectral Density of Gaussian Random
Processes . . . . . . . . . . . . . . . 267--273
G. K. Golubev and
R. Z. Khas'minskii Estimation in Gaussian White Noise Using
a Finite Number of Linear Statistics . . 274--286
A. V. Bernshtein On Verifying Composite Hypotheses with
Nuisance Parameters in the Multivariate
Case . . . . . . . . . . . . . . . . . . 287--298
L. G. Mihailovskaya On the Optimal Stopping of a Controlled
Diffusion Process . . . . . . . . . . . 299--308
K. Arndt Asymptotic Properties of the
Distribution of the Supremum of a Random
Walk on a Markov Chain . . . . . . . . . 309--324
K. A. Borovkov Stability Theorems and Estimates of the
Rate of Convergence of the Components of
Factorizations for Walks Defined on
Markov Chains . . . . . . . . . . . . . 325--334
M. Riedel Determination of a Stochastic Process by
Means of Stochastic Integrals . . . . . 335--346
A. Plucinska Remarks on Prospective Equations . . . . 347--355
I. N. Volodin Lower Bounds for the Mean Sample Size in
Invariance Tests . . . . . . . . . . . . 356--360
A. I. Martikainen A Converse to the Law of the Iterated
Logarithm for a Random Walk . . . . . . 361--362
S. V. Anulova On Markov Stopping Times with a Given
Distribution for a Wiener Process . . . 362--366
L. I. Gal'chuk Stable Subspaces and a Decomposition
Theorem for Martingales . . . . . . . . 366--370
B. S. Nakhapetyan On a Criterion of Weak Convergence . . . 370--377
R. A. Abusev and
Ya. P. Lumel'skii Unbiased Estimators and Classification
Problems for Multivariate Normal
Populations . . . . . . . . . . . . . . 377--384
S. E. Kuznetsov Any Markov Process in a Borel Space has
a Transition Function . . . . . . . . . 384--388
I. V. Pavlov Confidence Bounds for Convex Functions
of Many Unknown Parameters . . . . . . . 388--393
L. G. Vetrov On Linearization of Stochastic
Differential Equations of Optimal
Nonlinear Filtering . . . . . . . . . . 393--401
G. A. Kozlov The Error in Calculating an Integral by
the Monte--Carlo Method Using a Random
Code Generator with Independent Digits 401--408
Anonymous Fourth All-Union Seminar on Stability
Problems in Stochastic Models . . . . . 409--425
Anonymous Summary of Papers Presented at Sessions
of the Probability and Mathematical
Statistics Seminar at the Leningrad
Section of the Mathematical Institute of
the USSR Academy of Sciences, 1978--1979 426--433
Anonymous Review and Bibliography . . . . . . . . 433--436
Anonymous New Books . . . . . . . . . . . . . . . 437--438
I. S. Borisov and
A. A. Borovkov Asymptotic Behavior of the Number of
Free Servers for Systems with Refusals 439--453
I. S. Borisov On Conditions of Existence of Bounded
Density for Additive Functionals on Some
Random Processes . . . . . . . . . . . . 454--465
I. G. Zhurbenko On the Efficiency of Spectral Density
Estimates of a Stationary Process . . . 466--480
G. D. Makarov Large Deviations for a Critical
Galton--Watson Process . . . . . . . . . 481--492
A. V. Bulinskii A New Variant of the Functional Law of
the Iterated Logarithm . . . . . . . . . 493--503
A. Ya. Reznikova The Central Limit Theorem for the
Spectrum of Random Jacobi Matrices . . . 504--513
S. V. Nagaev and
L. V. Khan Limit Theorems for a Critical
Galton--Watson Branching Process with
Migration . . . . . . . . . . . . . . . 514--525
B. P. Kharlamov A Markov Property Test for Semi-Markov
Processes . . . . . . . . . . . . . . . 526--539
G. I. Ivchenko and
Yu. I. Medvedev Decomposable Statistics and Hypothesis
Testing for Grouped Data . . . . . . . . 540--551
B. Ya. Levit On Asymptotic Minimax Estimates of the
Second Order . . . . . . . . . . . . . . 552--568
M. B. Nevel'son On Asymptotically Efficient Recursive
Estimation of a Location Parameter . . . 569--579
A. V. Pechinkin The Limit Distribution for a Random Walk
with Absorption . . . . . . . . . . . . 580--584
A. L. Yakymiv Reduced Branching Processes . . . . . . 584--588
N. V. Kartashov A Uniform Asymptotic Renewal Theorem . . 589--592
D. Kh. Mushtari A Remark on Necessary and Sufficient
Topologies . . . . . . . . . . . . . . . 592--593
I. V. Pavlov On Extreme Rays and the Integral
Representation in a Cone of
Supermartingales . . . . . . . . . . . . 593--596
G. L. Kulinich and
Le Thieng Huong On the Construction and Limit Behavior
of a Multiple Stochastic Integral of a
Diffusion Process . . . . . . . . . . . 597--604
S. B. Shlosman Limit Theorems of Probability Theory for
Compact Topological Groups . . . . . . . 604--609
N. G. Gamkrelidze A Method for Proving the Central Limit
Theorem . . . . . . . . . . . . . . . . 609--614
Yu. V. Direev An Ergodic Theorem for Additive
Functionals . . . . . . . . . . . . . . 614--617
L. B. Klebanov Some Results Connected with a
Characterization of the Exponential
Distribution . . . . . . . . . . . . . . 617--622
E. V. Khmaladze A Remark on the Weak Convergence of
Linear Decomposable Statistics . . . . . 622--624
B. S. Darkhovskii and
B. E. Brodskii A Posteriori Detection of the
``Disorder'' Time of a Random Sequence 624--628
R. Döhler On the Conditional Independence of
Random Events . . . . . . . . . . . . . 628--634
L. N. Bol'shev Seminar on Mathematical Statistics
Commemorating . . . . . . . . . . . . . 634--649
Anonymous Summary of Reports Presented at Sessions
of the Seminar on Probability Theory and
Mathematical Statistics at the
Mathematical Institute of the Siberian
Section of the USSR Academy of Sciences,
1979 . . . . . . . . . . . . . . . . . . 649--657
A. V. Skorokhod Stochastic Differential Equations
Depending on a Parameter . . . . . . . . 659--666
R. Sh. Liptser and
A. N. Shiryayev A Functional Central Limit Theorem for
Semimartingales . . . . . . . . . . . . 667--688
Ya. A. Rozanov Some Problems in the Linear Theory of
Random Functions . . . . . . . . . . . . 689--702
I. A. Ibragimov and
R. Z. Khas'minskii Estimates of the Signal, Its Derivatives
and Point of Maximum for Gaussian
Distributions . . . . . . . . . . . . . 703--720
A. A. Borovkov and
A. I. Sakhanenko On Estimates of the Rate of Convergence
in the Invariance Principle for Banach
Spaces . . . . . . . . . . . . . . . . . 721--731
D. M. Chibisov An Asymptotic Expansion for the
Distribution of a Statistic Admitting a
Stochastic Expansion. I . . . . . . . . 732--744
V. V. Senatov Uniform Estimates of the Rate of
Convergence in the Multi-Dimensional
Central Limit Theorem . . . . . . . . . 745--759
V. A. Vatutin On a Class of Critical Bellman-Harris
Branching Processes with Several Types
of Particles . . . . . . . . . . . . . . 760--771
Yu. A. Davydov On Strong Convergence of Distributions
of Functionals of Random Processes. I 772--789
A. N. Tikhomirov On the Convergence Rate in the Central
Limit Theorem for Weakly Dependent
Random Variables . . . . . . . . . . . . 790--809
Anonymous News on Scientific Life . . . . . . . . 810--810
D. M. Chibisov Asymptotic Expansion for the
Distribution of a Statistic Admitting a
Stochastic Expansion. II . . . . . . . . 1--12
N. N. Chentsov On Correctness of the Problem of
Statistical Point Estimation . . . . . . 13--29
N. I. Gorbunov Minimax Statistical Inference Procedures
with a Possible Refusal to Make a
Decision . . . . . . . . . . . . . . . . 30--42
V. M. Shurenkov Random Walks on the Half-Axis. I.
Boundary Problems and an Ergodic Theorem 43--55
Yu. N. Vladimirskii Cylindrical Measures and $p$-Summing
Operators . . . . . . . . . . . . . . . 56--68
I. F. Pinelis A Problem on Large Deviations in a Space
of Trajectories . . . . . . . . . . . . 69--84
V. V. Buldygin Random Elements and Their Convergence in
Topological Spaces . . . . . . . . . . . 85--96
R. N. Miroshin Convergence of Longuet-Higgins Series
for Stationary Gaussian Markov Processes
of First Order . . . . . . . . . . . . . 97--117
T. Kühn $ \gamma $-Summing Operators in Banach
Spaces of Type $p$, $ 1 < p \leqq 2 $,
and Cotype $q$, $ 2 \leqq q < \infty $ 118--129
R. Sh. Liptser and
A. N. Shiryaev On Necessary and Sufficient Conditions
in the Functional Central Limit Theorem
for Semimartingales . . . . . . . . . . 130--135
L. V. Rozovskii On the Convergence Rate in the Strong
Law of Large Numbers . . . . . . . . . . 135--140
V. A. Lebedev On Relative Compactness of Families of
Distributions of Semimartingales . . . . 140--148
A. Yu. Zaitsev Some Properties of $N$-Fold Convolutions
of Distributions . . . . . . . . . . . . 148--152
A. G. Postnikov and
A. A. Yudin On Estimating the Concentration Function
for a Sum of Independent Identically
Distributed Two-Dimensional Lattice
Random Vectors . . . . . . . . . . . . . 152--156
B. Jesiak On the Unique Determination of Lévy's
Spectral Functions and Parameters of
Infinitely Divisible Distributions . . . 156--161
S. T. Mkrtchyan Stability of a Characterization of
Distributions, and Some Wide-Sense
Characteristic Properties of the Normal
Distribution . . . . . . . . . . . . . . 161--167
N. N. Vakhaniya and
V. I. Tarieladze and
A. Tortrat On the Continuity of Random Linear
Functions . . . . . . . . . . . . . . . 167--173
A. V. Tsukanov On Tests of Optimality of Experimental
Designs for a Regression Model with
Random Variables . . . . . . . . . . . . 173--177
I. Akhmarov On the Convergence Rate in Ergodicity
and Continuity Theorems for Systems with
Refusals . . . . . . . . . . . . . . . . 177--184
Anonymous Summary of Papers Presented at Sessions
of the Probability and Statistics
Seminar at the Leningrad Section of the
Mathematical Institute of the USSR
Academy of Sciences, 1979 . . . . . . . 184--195
Anonymous Summary of Papers Presented at Sessions
of the Probability and Statistics
Seminar at the V. A. Steklov
Mathematical Institute of the USSR
Academy of Science, 1979 . . . . . . . . 196--201
Anonymous Summary of Reports Presented at Sessions
of the Probability and Statistics
Seminar at T. G. Shevchenko Liev State
University 1979 . . . . . . . . . . . . 202--209
Anonymous The Fourteenth All-Union Colloquium on
Brobability Theory and Mathematical
Statistics . . . . . . . . . . . . . . . 209--211
Anonymous Reviews and Bibliography . . . . . . . . 212--215
Anonymous New Books . . . . . . . . . . . . . . . 216--217
T. V. Arak On the Convergence Rate in Kolmogorov's
Uniform Limit Theorem. I . . . . . . . . 219--239
E. V. Khmaladze Martingale Approach in the Theory of
Goodness-of-Fit Tests . . . . . . . . . 240--257
Yu. A. Davydov On Strong Convergence of Distributions
of Functionals of Random Processes. II 258--278
A. A. Novikov On the Exit Time of Sums of Bounded
Random Variables from a Curvilinear
Strip . . . . . . . . . . . . . . . . . 279--292
F. I. Karpelevich and
A. Ya. Kreinin Two-Phase Queuing System $ {{GI} / {G /
1}} \to {{G'} / {{1 / \infty }}} $ under
Heavy Traffic Conditions . . . . . . . . 293--313
V. V. Godovan'chuk Asymptotic Probabilities of Large
Deviations Due to Large Jumps of a
Markov Process . . . . . . . . . . . . . 314--327
G. Zigel' Upper Estimates for the Concentration
Function in Hilbert Space . . . . . . . 328--343
P. Whittle A Direct Derivation of the Equilbrium
Distribution for a Polymerization
Process . . . . . . . . . . . . . . . . 344--355
L. Yu. Vostrikova Detection of a ``Disorder'' in a Wiener
Process . . . . . . . . . . . . . . . . 356--362
S. V. Nagaev On the Asymptotic Behavior of One-Sided
Large Deviation Probabilities . . . . . 362--366
V. I. Pagurova and
K. D. Rodionov and
M. V. Rodionova The Distribution of the Studentized
Two-Dimensional Range . . . . . . . . . 366--371
A. M. Fedotov An Information Inequality for Operator
Equations in Hilbert Space . . . . . . . 371--378
Dang Hung Thang and
Nguen Duy Tien On Convergence of Martingales and
Geometric Properties of Banach Spaces 379--385
M. Buiculescu Representation of Excessive Functions as
Potentials of Additive Functionals for
Regular Markov Processes . . . . . . . . 385--388
K. Nawrotzki Ergodic Theorem for Random Processes
with Embedded Homogeneous Flow . . . . . 388--392
H.-J. Rossberg and
G. Siegel One-Sided Characterization of the Normal
Distribution in the Set of Infinitely
Divisible Distributions . . . . . . . . 392--399
Anonymous Summary of Reports Presented at Sessions
of the Seminar on the Theory of
Probability and Mathematical Statistics
at the V. A. Steklov Mathematical
Institute of the Academy of Sciences of
the USSR, 1980 . . . . . . . . . . . . . 399--407
Anonymous Summary of Reports Presented at Sessions
of the Probability and Statistics
Seminar in the Leningrad Section of the
Mathematical Institute of the USSR
Academy of Sciences, 1979 . . . . . . . 408--415
Anonymous Summary of Reports Presented at Sessions
of the Seminar on Probability Theory and
Mathematical Statistics at the Institute
of Mathematics of the Siberian Section
of the Academy of Sciences of the USSR,
1979 . . . . . . . . . . . . . . . . . . 416--423
Anonymous Reviews and Bibliography . . . . . . . . 424--431
Anonymous New Books . . . . . . . . . . . . . . . 432--433
S. V. Nagaev and
L. V. Khan Addendum: Limit Theorems for a Critical
Galton--Watson Branching Process with
Migration . . . . . . . . . . . . . . . 434--434
I. Shiganov Addendum: Some Estimates of the Accuracy
of Approximation in the
Multi-Dimensional Central Limit Theorem 434--434
N. T. Leont'eva Addendum: Summary of Reports Presented
at Sessions of the Seminar on
Probability Theory and Mathematical
Statistics at the Mathematical Institute
of the Siberian Section of the USSR
Academy of Sciences, 1979, p. 652 . . . 434--435
S. S. Vallender Addendum: Calculation of the Wasserstein
Distance between Probability
Distributions on the Line . . . . . . . 435--435
A. D. Vent-Tsel Addendum: Limit Theorems on Large
Deviations for Markov Stochastic
Processes, III . . . . . . . . . . . . . 435--435
T. V. Arak On the Convergence Rate in Kolmogorov's
Uniform Limit Theorem. II . . . . . . . 437--451
V. M. Shurenkov Random Walks on the Half-Axis. II. Limit
Distributions of Boundary Functionals 452--467
V. I. Piterbarg and
V. P. Prisyazhnyuk Exact Asymptotic Behavior of the
Probability of a Large Span of a
Stationary Gaussian Process . . . . . . 468--484
M. G. Shur Invariant Measures for Markov Chains and
Feller Extensions of Chains . . . . . . 485--497
S. S. Samarova On the Length of the Longest Head-Run
for a Markov Chain with Two States . . . 498--509
Sh. A. Ayupov and
T. A. Sarymsakov Homogeneous Markov Chains on Semifields 510--520
V. L. Girko The Central Limit Theorem for Random
Determinants . . . . . . . . . . . . . . 521--531
V. N. Vapnik and
A. Ya. Chervonenkis Necessary and Sufficient Conditions for
the Uniform Convergence of Means to
their Expectations . . . . . . . . . . . 532--553
M. V. Burnashev On a Statistical Problem Related to
Random Walks . . . . . . . . . . . . . . 554--563
E. A. Pukhal'sky Minimal Sufficient Statistics for Normal
Models with Algebraic Structure . . . . 564--572
T. A. Azlarov and
N. A. Volodin Laws of Large Numbers for Identically
Distributed Banach-Space Valued Random
Variables . . . . . . . . . . . . . . . 573--580
A. G. Konovalov A Local Limit Theorem on Convergence to
a Diffusion Process . . . . . . . . . . 581--587
S. I. Pisanets Limit Theorems for Diffusion-Type
Processes in $ R^m $ . . . . . . . . . . 587--594
N. G. Ushakov Some Inequalities for Characteristic
Functions of Unimodal Distributions . . 595--598
A. N. Titov On Determining the Convolution of
Identical Distribution Functions by its
Values on the Half-Axis . . . . . . . . 599--600
G. M. Fel'dman and
A. E. Fryntov Decomposition of the Convolution of Two
Poisson Distributions on a Locally
Compact Abelian Group . . . . . . . . . 601--607
M. S. Tikhov On the Sequential Estimation of the
Drift Coefficient of a Diffusion Process
with Quadratic and Non-Quadratic Losses 607--614
M. Yu. Kitaev The Existence of Optimal Homogeneous
Strategies of Controllable
Semicontinuous Semi-Markov Models with
Respect to the Average Cost Criterion 614--616
Anonymous Summary Papers Presented at Sessions of
the Probability and Mathematical
Statistics Seminar at the Leningrad
Section of the Mathematical Institute of
the USSR Academy of Sciences, 1980 . . . 617--625
Anonymous Summary of Papers Presented at Sessions
of the Seminar on Probability Theory and
Mathematical Statistics at the
Mathematical Institute of the Siberian
Section of the USSR Academy of Sciences,
1980 . . . . . . . . . . . . . . . . . . 625--633
Anonymous Summary of Reports Presented at Sessions
of the Seminar on the Probability Theory
and Mathematical Statistics at the T. G.
Shevchenko Kiev State University, 1980 633--638
Anonymous Fifth Seminar on Problems of Stability
of Stochastic Models . . . . . . . . . . 638--654
Anonymous New Books . . . . . . . . . . . . . . . 655--656
V. V. Senatov Some Non-Uniform Estimates of the Speed
of Convergence in the Multi-Dimensional
Central Limit Theorem . . . . . . . . . 657--669
A. Yu. Veretennikov On Strong and Weak Solutions of
One-Dimensional Stochastic Equations
with Boundary Conditions . . . . . . . . 670--686
V. I. Piterbarg Comparison of Distribution Functions of
Maxima of Gaussian Processes . . . . . . 687--705
V. F. Gaposhkin On the Dependence of the Convergence
Rate in the Strong Law of Large Numbers
for Stationary Processes on the Rate of
Decay of the Correlation Function . . . 706--720
G. N. Mil'shtein Quadratic Lyapunov Functionals and
second Moments for Stochastic Systems
with After-Effect . . . . . . . . . . . 721--731
L. Seidl' Quantitative Estimates of the Continuity
of Multi-Channel Queueing Systems . . . 732--744
J. Glover Energy and the Maximum Principle for
Nonsymmetric Hunt Processes . . . . . . 745--757
A. N. Borodin On the Asymptotic Behavior of Local
Times of Recurrent Random Walks with
Finite Variance . . . . . . . . . . . . 758--772
R. M. Gil'fanov A Non-Uniform Estimate of the Rate of
Convergence in the Central Limit Theorem
for the Sums of Vector-Valued Functions
of Independent Variables . . . . . . . . 773--786
N. A. Bogomolov Minimax Measurements in a General
Statistical Decision Theory . . . . . . 787--795
A. A. Yushkevich On Semi-Markov Controlled Models with an
Average Reward Criterion . . . . . . . . 796--803
G. D. Makarov Estimates for the Distribution Function
of a Sum of Two Random Variables When
the Marginal Distributions are Fixed . . 803--806
V. A. Vatutin A Class of Limit Theorems for a Critical
Bellman-Harris Branching Process . . . . 806--812
V. M. Kruglov Central Limit Theorem and Law of Large
Numbers in the Mean . . . . . . . . . . 813--815
É L. Presman Two Inequalities for Symmetric Processes
and Symmetric Distributions . . . . . . 815--819
R. De Dominicis Weak Law of Large Numbers for Random
Fields of Random Elements . . . . . . . 820--822
N. G. Gamkrelidze On ``Smoothing'' the Probabilities for
Sums of Independent Integer-Valued
Variables . . . . . . . . . . . . . . . 823--828
Yu. L. Pavlov Limit Theorems for a Characteristic of a
Random Mapping . . . . . . . . . . . . . 829--834
L. V. Rozovskii Limit Theorems on Large Deviations in a
Narrow Zone . . . . . . . . . . . . . . 834--845
B. Jesiak and
H.-J. Rossberg New Versions of the Lindeberg--Feller
Theorem . . . . . . . . . . . . . . . . 845--849
R. Leipnik The Lognormal Distribution and Strong
Non-Uniqueness of the Moment Problem . . 850--852
Anonymous Summary of Reports Presented at Sessions
of the Seminar in Probability Theory and
Mathematical Statistics at the Steklov
Institute of Mathematics of the USSR
Academy of Sciences, 1980 . . . . . . . 852--855
Anonymous Summary of Reports Presented at Sessions
of the Probability and Mathematical
Statistics Seminar at the Leningrad
Section of the Mathematical Institute of
the USSR Academy of Sciences, 1980 . . . 856--862
Anonymous Summary of Reports Presented at Sessions
of the Probability and Statistics
Seminar at T. G. Shevchenko Kiev State
University, 1980 . . . . . . . . . . . . 862--866
Anonymous A Triple Anniversary . . . . . . . . . . 867--867
Anonymous The Fifteenth All-Union Colloquium on
Probability Theory and Mathematical
Statistics . . . . . . . . . . . . . . . 867--869
Anonymous New Books . . . . . . . . . . . . . . . 870--870
R. Sh. Liptser and
A. N. Shiryaev On the Rate of Convergence in the
Central Limit Theorem for
Semimartingales . . . . . . . . . . . . 1--13
V. A. Lebedev On the Weak Compactness of Families of
Distributions of General Semimartingales 14--23
L. G. Vetrov On Filtering, Interpolation and
Extrapolation of Semimartingales . . . . 24--36
A. D. Slastnikov On Large Deviations for Sums of
Non-Identically Distributed Random
Variables . . . . . . . . . . . . . . . 37--48
A. F. Ronzhin Asymptotic Formulas for the Moments of
$U$-Statistics with Degenerate Kernel 49--58
Z. I. Bezhaeva Weak Convergence of Matrices of
Transition Probabilities for Conditional
Markov Chains . . . . . . . . . . . . . 59--68
M. A. Lifshits The Fiber Method and Its Application to
the Study of Functionals of Stochastic
Processes . . . . . . . . . . . . . . . 69--83
I. A. Ibragimov and
R. Z. Khas'minskii Bounds for the Risks of Non-Parametric
Regression Estimates . . . . . . . . . . 84--99
J. Deshayes and
D. Picard Tests of Disorder of Regression:
Asymptotic Comparison . . . . . . . . . 100--115
E. A. Fainberg Non-Randomized Markov and Semi-Markov
Strategies in Dynamic Programming . . . 116--126
I. V. Evstigneev and
P. K. Katyshev Equilibrium Paths in Stochastic Models
of Economic Dynamics . . . . . . . . . . 127--135
Ts. Ignatov On a Constant Arising in the Asymptotic
Theory of Symmetric Groups, and on
Poisson--Dirichlet Measures . . . . . . 136--147
K. A. Borokov Rate of Convergence in a Boundary
Problem . . . . . . . . . . . . . . . . 148--149
G. D. Makarov Large Deviations in Branching Processes
Close to Critical Ones . . . . . . . . . 149--154
V. Yu. Ventkus Analyticity of Gaussian Measures . . . . 155--161
J. Coursol and
D. Dacunha-Castelle Remarks on the Approximation of the
Likelihood Function of a Stationary
Gaussian Process . . . . . . . . . . . . 162--167
M. H. A. Davis A Pathwise Solution of the Equations of
Nonlinear Filtering . . . . . . . . . . 167--175
E. G. Parsadanishvili and
E. V. Khmaladze The Testing of Statistical Hypotheses on
Unidentifiable Objects . . . . . . . . . 175--182
I. Yu. Faktorovich Some Results Connected with a Waiting
Process . . . . . . . . . . . . . . . . 183--190
A. Naimzhanov The Central Limit Theorem for the
Hierarchical Dyson Model for Small $
\beta $ . . . . . . . . . . . . . . . . 191--196
V. A. Ivnitskii On a Condition of Invariance of
Stationary Probabilities for Queueing
Networks . . . . . . . . . . . . . . . . 196--201
A. V. Kalinkin Extinction Probability of a Branching
Process with Interaction of Particles 201--205
Anonymous Summary of Reports Presented at Sessions
of the Probability and Statistics
Seminar at the Mathematical Institute of
the Siberian Section of the USSR Academy
of Sciences, 1980 . . . . . . . . . . . 206--210
Anonymous Summary of Reports Presented at Sessions
of the Probability and Statistics
Seminar at the Mathematical Institute of
the Siberian Section of the USSR Academy
of Sciences, April--May 1981 . . . . . . 211--214
A. D. Venttsel' Rough Limit Theorems on Large Deviations
for Markov Stochastic Processes. IV . . 215--234
A. M. Zubkov Limit Behavior of Decomposable Critical
Branching Processes with Two Types of
Particles . . . . . . . . . . . . . . . 235--247
V. P. Chistyakov Matrix Functions of Trajectories of
Markov Chains . . . . . . . . . . . . . 248--255
Ya. G. Sinai The Limiting Behavior of a
One-Dimensional Random Walk in a Random
Medium . . . . . . . . . . . . . . . . . 256--268
V. P. Nosko The Horizon of a Random Field of Cones
on a Plane. The Mean Number of Horizon
Corners . . . . . . . . . . . . . . . . 269--279
V. V. Yurinskii On the Accuracy of Normal Approximation
of the Probability of Hitting a Ball . . 280--289
B. A. Zalesskii Estimate of the Accuracy of Normal
Approximation in Hilbert Space . . . . . 290--298
V. P. Kuznetsov Minimax Tests for Bounded Families of
Distribution Densities . . . . . . . . . 299--309
S. A. Molchanov and
A. Ya. Reznikova Limit Theorems for Random Partitions . . 310--323
S. Ya. Shorgin Nonclassical Estimates of the Rate of
Convergence in the Central Limit Theorem
Taking into Account Large Deviations . . 324--337
N. V. Elbakidze Optimal Stopping of a Random Sequence
and Hammerstein's Operators . . . . . . 338--356
V. V. Mal'tsev and
E. I. Ostrovskii Central Limit Theorem for Stationary
Processes in Hilbert Space . . . . . . . 357--359
D. F. Vysochanskii and
Yu. I. Petunin On a Gauss Inequality for Unimodal
Distributions . . . . . . . . . . . . . 359--361
N. G. Ushakov On a Problem of Rényi . . . . . . . . . . 361--362
Yu. S. Khokhlov On the Convergence to a
Multi-Dimensional Stable Law of the
Distribution of a Shift Parameter for
the Composition of Random Motions in
Euclidean Space . . . . . . . . . . . . 363--365
S. V. Fomin An Estimate of the Rate of Convergence
in the Multi-Dimensional Central Limit
Theorem . . . . . . . . . . . . . . . . 365--368
S. M. Sagitov Critical Branching Processes with
Several Particle Types and Immigration 369--374
V. A. Kanevskii and
G. Sh. Lev Point Sequences in Infinite-Dimensional
Spaces and Integration of Functions . . 375--379
V. V. Gorodetskii The Invariance Principle for Stationary
Random Fields with a Strong Mixing
Condition . . . . . . . . . . . . . . . 380--385
H. Fährmann Convergence of Values in Optimal
Stopping of Partially Observable Random
Sequences with Quadratic Rewards . . . . 386--391
T. L. Malevich and
B. Abdalimov A Refinement of the Central Limit
Theorem for $U$-Statistics of
$m$-Dependent Variables . . . . . . . . 391--396
G. Beinicke and
K. O. Dzhaparidze On Parameter Estimation by the
Davidon--Fletcher--Powell Method . . . . 396--402
G. I. Ivchenko and
E. E. Timonina Estimating the Size of a Finite
Population . . . . . . . . . . . . . . . 403--406
V. I. Pagurova On Confidence Estimation in a General
Linear Regression Model with
Nonhomogeneous Variances . . . . . . . . 407--411
B. S. Tsirel'son A Geometrical Approach to Maximum
Likelihood Estimation for
Infinite-Dimensional Gaussian Location.
I . . . . . . . . . . . . . . . . . . . 411--418
Z. J. Jurek Domains of Normal Attraction for $
\mathcal {G} $-Stable Measures on $ R^d
$ . . . . . . . . . . . . . . . . . . . 419--424
A. Szulga On Minimal Metrics in the Space of
Random Variables . . . . . . . . . . . . 424--430
Anonymous Summary of Reports Presented at Sessions
of the Seminar in the Theory of
Probability and Mathematical Statistics
at the Kiev Shevchenko State University
1981 . . . . . . . . . . . . . . . . . . 430--437
Anonymous New Books . . . . . . . . . . . . . . . 438--440
A. Yu. Veretennikov On the Criteria for Existence of a
Strong Solution of a Stochastic Equation 441--449
L. I. Gal'chuk A Comparison Theorem for Stochastic
Equations with Integrals with Respect to
Martingales and Random Measures . . . . 450--460
K. A. Borovkov On the Rate of Convergence in the
Invariance Principle for Generalized
Renewal Processes . . . . . . . . . . . 461--471
S. A. Aliev and
V. M. Shurenkov Transitional Phenomena and the
Convergence of Galton--Watson Processes
to Jirina Processes . . . . . . . . . . 472--485
E. A. Fainberg Controlled Markov Processes with
Arbitrary Numerical Criteria . . . . . . 486--503
V. I. Piterbarg Large Deviations of Random Processes
Close to Gaussian Ones . . . . . . . . . 504--524
Dang Hung Thang and
Nguyen Duy Tien Mappings of Stable Cylindrical Measures
in Banach Space . . . . . . . . . . . . 525--535
M. Zähle Ergodic Properties of Random Fields and
Images With Point Imbedded Processes . . 536--550
I. A. Ibragimov and
R. Z. Khas'minskii Estimation of Distribution Density
Belonging to a Class of Entire Functions 551--562
B. Ya. Levit Minimax Estimation and Positive
Solutions of Elliptic Equations . . . . 563--586
A. V. Mel'nikov Martingale-Like Stochastic Sequences and
Processes . . . . . . . . . . . . . . . 587--591
Ya. I. Belopol'skaya and
Z. I. Nagolkina On a Class of Stochastic Partial
Differential Equations . . . . . . . . . 592--600
M. A. Lifshits On the Absolute Continuity of
Distributions of Functionals of Random
Processes . . . . . . . . . . . . . . . 600--607
A. S. Mal'kov and
V. V. Ul'yanov On a Non-Uniform Estimate for the Rate
of Convergence in a Local Limit Theorem
for a Stable Limit Distribution . . . . 607--609
T. Hida The Role of Exponential Functions in the
Analysis of Generalized Brownian
Functionals . . . . . . . . . . . . . . 609--613
M. Vandemaele On Large Deviation Probabilities for
$U$-Statistics . . . . . . . . . . . . . 614--614
A. F. Ronzhin and
B. I. Selivanov Limit Theorems for a Markov Time in a
Disorder Problem . . . . . . . . . . . . 615--619
V. A. Malyshev and
I. P. Tsaregradskii A Queueing System with Local Interaction 619--624
I. P. Tsaregradskii On a Queueing System with an Infinite
Number of Locally Interacting Servers 624--628
Yu. I. Ingster On the Asymptotic Efficiency of Tests
for a Simple Hypothesis Against a
Composite Alternative . . . . . . . . . 628--633
V. A. Egorov and
V. B. Nevzorov Some Theorems on Induced Order
Statistics . . . . . . . . . . . . . . . 633--639
V. F. Kotel'nikova and
E. V. Chmaladze On Computing the Probability of an
Empirical Process not Crossing a
Curvilinear Boundary . . . . . . . . . . 640--648
Yu. V. Prokhorov Summary of Reports of the All-Union
Seminar on Scientific Methods:
``Computational Methods of Mathematical
Statistics'' . . . . . . . . . . . . . . 649--653
Anonymous Summary of Reports Presented at Sessions
of the Probability and Mathematical
Statistics Seminar at the T. G.
Shevchenko Kiev State University,
May--December 1981 . . . . . . . . . . . 653--661
Anonymous Summary of Reports Presented at Sessions
of the Probability and Mathematical
Statistics Seminar at the Mathematics
Institute of the Siberian Section of the
USSR Academy of Sciences,
September--October 1981 . . . . . . . . 661--663
Anonymous New Books . . . . . . . . . . . . . . . 664--665
V. M. Kruglov and
S. N. Antonov On the Asymptotic Behavior of Infinitely
Divisible Distributions in Banach Space 667--687
A. A. Novikov The Crossing Time of a One-Sided
Nonlinear Boundary by Sums of
Independent Random Variables . . . . . . 688--702
B. G. Goldshtein A Central Limit Theorem of
``Non-Commutative'' Probability Theory 703--714
V. A. Topchii Asymptotics of the Extinction
Probability for Critical General
Branching Processes . . . . . . . . . . 715--733
V. A. Vatutin and
V. G. Mikhailov Limit Theorems for the Number of Empty
Cells in an Equiprobable Scheme for
Group Allocation of Particles . . . . . 734--743
V. P. Nosko Weak Convergence of the Horizon of a
Random Field of Cones in an Expanding
Strip . . . . . . . . . . . . . . . . . 744--758
V. D. Konakov and
V. I. Piterbarg Convergence Rate of Maximum Deviation
Distributions of Gaussian Processes and
Empirical Densities. I . . . . . . . . . 759--779
G. M. Fel'dman On a Decomposition of Generalized
Poisson Distributions on Groups . . . . 780--794
R. Yu. Bentkus and
R. A. Rudzkis On the Distribution of Some Statistical
Estimates of Spectral Density . . . . . 795--814
M. B. Petrovskaya and
A. M. Leontovich The Central Limit Theorem for a Sequence
of Random Variables with a Slowly
Growing Number of Dependences . . . . . 815--825
T. V. Arak An Improvement of the Lower Bound for
the Rate of Convergence in Kolmogorov's
Uniform Limit Theorem . . . . . . . . . 826--832
I. V. Ostrovskii On Divisors of Infinitely Divisible
Distributions Representable as Cartesian
Products . . . . . . . . . . . . . . . . 832--837
V. L. Girko Limit Theorems for Products of
Independent Random Matrices with
Positive Elements . . . . . . . . . . . 837--844
N. M. Blank On Uniqueness Conditions for Functions
of Bounded Variation and Distribution
Functions with Values on the Half-Line 844--847
A. L. Miroshnikov and
B. A. Rogozin Remarks on an Inequality for the
Concentration Function of Sums of
Independent Variables . . . . . . . . . 848--850
A. G. Grin' On a Condition for Regularity of
Stationary Random Processes . . . . . . 850--855
G. L. Kulinich On Necessary and Sufficient Conditions
for Convergence of Solutions to
One-Dimensional Stochastic Diffusion
Equations with a Nonregular Dependence
of the Coefficients on a Parameter . . . 856--862
I. S. Borisov On a Criterion for Gaussian Random
Processes to Be Markovian . . . . . . . 863--865
M. V. Boldin Estimation of the Distribution of Noise
in an Autoregression Scheme . . . . . . 866--871
Anonymous Summary of Reports Presented at Sessions
of the Seminar Probability Theory and
Mathematical Statistics at the V. A.
Steklov Mathematical Institute of the
USSR Academy of Sciences, 1981 . . . . . 872--886
R. Sh. Liptser and
A. N. Shiryaev On the Invariance Principle for
Semi-Martingales: the ``Nonclassical''
Case . . . . . . . . . . . . . . . . . . 1--34
R. L. Dobrushin and
M. Ya. Kel'bert Local Additive Functionals of Gaussian
Random Fields . . . . . . . . . . . . . 35--47
A. I. Martikainen One-Sided Versions of Strong Limit
Theorems . . . . . . . . . . . . . . . . 48--64
A. K. Aleshkyavichene Multidimensional Integral Limit Theorems
for Large Deviation Probabilities . . . 65--88
V. A. Dmitrovskii and
S. V. Ermakov and
E. I. Ostrovskii The Central Limit Theorem for Weakly
Dependent Banach-Valued Variables . . . 89--104
A. N. Borodin Limit Theorems for Sums of Independent
Random Variables Defined on a Recurrent
Random Walk . . . . . . . . . . . . . . 105--121
A. D. Virtser On the Simplicity of the Spectrum of the
Lyapunov Characteristic Indices of a
Product of Random Matrices . . . . . . . 122--135
S. M. Ermakov and
A. A. Zhiglyavskii On Random Search for a Global Extremum 136--141
V. V. Godovanchuk and
A. P. Korostelev Conditions for Local Convergence of
Recursive Stochastic Procedures . . . . 142--149
G. Englund A Remainder Term Estimate in a
Random-Sum Central Limit Theorem . . . . 149--157
A. I. Yashin On a Problem of Sequential Hypothesis
Testing . . . . . . . . . . . . . . . . 157--165
L. B. Klebanov and
R. V. Yanushkyavichyus $ \varepsilon $-Independence of the
Sample Mean and Tubular Statistics . . . 165--172
V. D. Konakov and
V. I. Piterbarg Rate of Convergence of Distributions of
Maximal Deviations of Gaussian Processes
and Empirical Density Functions. II . . 172--178
M. U. Gafurov and
V. I. Rotar' On the Exit of a Random Walk From a
Curvilinear Boundary . . . . . . . . . . 179--184
L. I. Piterbarg On Prediction of a Class of Random
Fields . . . . . . . . . . . . . . . . . 184--191
T. M. Vinogradskaya and
B. A. Geninson and
A. A. Rubchinskii Semi-Markov Decision-Making Processes
with Vector Gains . . . . . . . . . . . 191--193
Anonymous Summary of Reports Presented at Sessions
of the Probability and Mathematical
Statistics Seminar at the Leningrad
Section of the Mathematical Institute of
the USSR Academy of Sciences 1981 . . . 194--207
Anonymous News in Mathematics . . . . . . . . . . 208--209
Anonymous Review and Bibliography . . . . . . . . 210--215
Anonymous New Books . . . . . . . . . . . . . . . 216--217
A. A. Borovkov and
S. A. Utev On an Inequality and a Related
Characterization of the Normal
Distribution . . . . . . . . . . . . . . 219--228
S. Kh. Sirazhdinov and
Sh. K. Formanov On Estimates of the Rate of Convergence
in the Central Limit Theorem for
Homogeneous Markov Chains . . . . . . . 229--239
I. A. Ibragimov On Smoothness Conditions for
Trajectories of Random Functions . . . . 240--262
B. A. Zalesskii and
V. V. Sazonov Closeness of Moments for Normal
Approximation in a Hilbert Space . . . . 263--277
V. M. Zolotarev Probability Metrics . . . . . . . . . . 278--302
Yu. M. Kabanov and
R. Sh. Liptser and
A. N. Shiryaev Weak and Strong Convergence of the
Distributions of Counting Processes . . 303--336
B. Grigelionis and
R. Mikulyavichus On Stably Weak Convergence of
Semi-Martingales and of Point Processes 337--350
A. Yu. Zaitsev and
T. V. Arak On the Rate of Convergence in
Kolmogorov's Second Uniform Limit
Theorem . . . . . . . . . . . . . . . . 351--374
Yu. V. Prokhorov On Sums of Random Vectors with Values in
Hilbert Space . . . . . . . . . . . . . 375--379
V. A. Statulyavichus On a Condition of Almost Markov
Regularity . . . . . . . . . . . . . . . 379--383
Yu. A. Rozanov On the Markov--Kolmogorov Principle for
Stochastic Differential Equations . . . 383--388
I. S. Borisov On the Rate of Convergence in the
Donsker--Prokhorov Invariance Principle 388--393
E. L. Presman Approximation of Binomial Distributions
by Infinitely Divisible Ones . . . . . . 393--403
I. S. Badalbaev and
A. M. Zubkov Limit Theorems for a Sequence of
Branching Processes with Immigration . . 404--409
I. G. Zhurbenko On the Efficiency of Spectral Density
Estimates of a Stationary Process. II 409--419
A. V. Bulinskii On a Class of Optimal Estimators of Sums
of Random Variables . . . . . . . . . . 419--425
A. V. Bernshtein The Structure of the Class of Absolutely
Admissible Tests . . . . . . . . . . . . 426--432
D. V. Korolyuk and
D. S. Sil'vestrov Entry Times into Asymptotically Receding
Domains for Ergodic Markov Chains . . . 432--442
S. A. Chobanyan Convergence of Bernoulli Series and the
Set of Sums of a Conditionally
Convergent Series of Functions . . . . . 442--450
S. D. Sokolova On the Equivalence of Gaussian Measures
Corresponding to Solutions of Stochastic
Differential Equations . . . . . . . . . 451--454
M. Mirvaliev Smoothing of the Results of Angular
Measurements Made According to Tomilin's
Scheme . . . . . . . . . . . . . . . . . 455--462
V. V. Senatov On Estimating the Rate of Convergence in
the Central Limit Theorem Over a System
of Balls in $ R^k $ . . . . . . . . . . 463--467
N. G. Gamkrelidze On an Estimate of the Closeness in
Variation of Distributions . . . . . . . 467--469
Yu. L. Pavlov Limit Distributions of the Height of a
Random Forest . . . . . . . . . . . . . 471--480
N. M. Yanev and
K. V. Mitov Lifetimes of Critical Branching
Processes with Random Migration . . . . 481--491
Sh. A. Mirakhmedov An Asymptotic Expansion for a Sample Sum
from a Finite Population . . . . . . . . 492--502
D. V. Gusak Distribution of the Sojourn Time of a
Homogeneous Process with Independent
Increments over an Arbitrary Level . . . 503--514
R. L. Dobrushin and
M. Ya. Kel'bert Stationary Local Additive Functionals of
Gaussian Random Fields . . . . . . . . . 515--529
E. V. Khmaladze Martingale Limit Theorems for Divisible
Statistics . . . . . . . . . . . . . . . 530--548
Yu. N. Vladimirskii On Probabilistic Characterization of
Some Classes of Locally Convex Spaces 549--560
A. M. Ulanovskii Description of the Class $ I_0 $ in
Kingman's Semigroup of Standard
$p$-Functions . . . . . . . . . . . . . 561--572
G. K. Golubev and
R. Z. Khas'minskii Sequential Testing for Several Signals
in Gaussian White Noise . . . . . . . . 573--584
E. M. Kudlaev A Class of Goodness-of-Fit Tests
Constructed by Means of a Central Part
of the Variational Series . . . . . . . 585--595
V. K. Matskyavichyus A Lower Bound for the Convergence Rate
in the Central Limit Theorem . . . . . . 596--601
E. I. Gordienko Uniform Exponential Convergence of
Markov Processes in Metrics
Corresponding to Weak Topology . . . . . 601--603
A. P. Ushakova On the Stability of Decompositions of
Probability Laws . . . . . . . . . . . . 603--606
I. V. Kozin Lebesgue Expansion for Spherically
Invariant Measures . . . . . . . . . . . 606--610
V. A. Lebedev On the Regularity of a Solution of a
Stochastic Equation with Respect to a
Martingale and a Random Measure . . . . 610--615
S. Csörgö Estimating Characteristic Functions
Under Random Censorship . . . . . . . . 615--623
Yu. S. Kharin The Investigation of Risk for
Statistical Classifiers Using Minimum
Estimators . . . . . . . . . . . . . . . 623--630
Anonymous Summary of Reports Presented at Sessions
of the Probability and Mathematical
Statistics Seminar at the Mathematics
Institute of the Siberian Section of the
USSR Academy of Sciences, February--May
1982 . . . . . . . . . . . . . . . . . . 631--639
Anonymous Summary of Reports Presented at Sessions
of the Probability and Mathematical
Statistics Seminar at the T. G.
Shevchenko Kiev State University,
February--May 1982 . . . . . . . . . . . 640--647
Anonymous Summary of Reports Presented at Sessions
of the Probability Theory and
Mathematical Statistics Seminar at the
Leningrad Section of the Mathematical
Institute if the USSR Academy of
Sciences, 1982 . . . . . . . . . . . . . 647--650
Anonymous News on Scientific Life . . . . . . . . 651--655
A. Yu. Zaitsev On the Accuracy of Approximation of
Distributions of Sums of Independent
Random Variables-Which are Nonzero with
a Small Probability-By Means of
Accompanying Laws . . . . . . . . . . . 657--669
A. V. Nagaev On the Asymmetric Problem of Large
Deviations When the Limit Law is Stable 670--680
Z. Rychlik Non-Uniform Central Limit Bounds with
Applications to Probabilities of
Deviations . . . . . . . . . . . . . . . 681--687
B. P. Kharlamov Representation of a Semi-Markov Process
as a Time-Change Markov Process . . . . 688--702
U. Zähle Asymptotic Properties of Point Processes
of Rare Events of Gaussian Fields. I . . 703--713
R. N. Miroshin The Use of Rice Series . . . . . . . . . 714--726
Ts. G. Khakhubia On Some Nonparametric Density Estimators
for a Statistical Classification Problem 727--735
D. Kh. Mushtari and
A. N. Chuprunov Sufficient Topologies and Norms . . . . 736--751
D. B. Sten'kin Preservation of Statistical Properties
for Subsequences of Random Sequences . . 752--761
B. L. Rozovskii Filtering, Smoothing and Prediction of
Degenerate Diffusion Processes. Backward
Equations . . . . . . . . . . . . . . . 762--774
Yu. I. Ingster Asymptotically Optimal Bayes Tests for
Composite Hypotheses . . . . . . . . . . 775--794
V. I. Timonin Exact Distributions of Smirnov's
Statistics for a Class of Alternatives
for Complete Censored Data . . . . . . . 795--797
E. R. Vvedenskaya Sums of Random Vectors with Values in a
Hilbert Space . . . . . . . . . . . . . 797--800
A. F. Ronzhin On Two Statistics in the Multinomial
Scheme . . . . . . . . . . . . . . . . . 800--805
A. P. Korostelev On Upper Functions for Stochastic
Approximation Procedures . . . . . . . . 806--811
I. S. Badalbaev and
I. Rakhimov Further Results on Branching Random
Processes with Immigration of Decreasing
Intensity . . . . . . . . . . . . . . . 811--816
V. V. Gorodetskii On the Convergence Rate in the
Invariance Principle for Strongly Mixing
Sequences . . . . . . . . . . . . . . . 816--821
I. V. Denisov A Random Walk and a Wiener Process Near
a Maximum . . . . . . . . . . . . . . . 821--824
Yu. P. Filonov Expected Times for Reaching a Level for
Range Type Functionals of a Markov Chain 825--829
Anonymous Summary of Reports Presented at Sessions
of the Probability and Mathematical
Statistics Seminar at the Leningrad
Section of the Mathematical Institute of
the USSR Academy of Sciences, 1982 . . . 830--840
Anonymous Seminars VI and VII on Problems of
Continuity and Stability of Stochastic
Models . . . . . . . . . . . . . . . . . 841--855
V. M. Zolotarev Addendum: Probability Metrics . . . . . 856--856
A. V. Nagaev Addendum: Some Limit Theorems of Renewal
Theory . . . . . . . . . . . . . . . . . 856--857
Anonymous News in the World of Mathematics . . . . 858--858
Anonymous New Books . . . . . . . . . . . . . . . 859--861
M. Yamazato $ O L $ Distributions on Euclidean
Spaces . . . . . . . . . . . . . . . . . 1--17
I. A. Ibragimov and
R. Z. Khas'minskii On Nonparametric Estimation of the Value
of a Linear Functional in Gaussian White
Noise . . . . . . . . . . . . . . . . . 18--32
B. A. Lifshits Invariance Principle for Weakly
Dependent Variables . . . . . . . . . . 33--40
S. T. Rachev On a Class of Minimal Functionals on a
Space of Probability Measures . . . . . 41--49
V. Yu. Bentkus and
A. Rachkauskas Estimates of the Distance between Sums
of Independent Random Elements in Banach
Spaces . . . . . . . . . . . . . . . . . 50--65
S. E. Kuznetsov Specifications and a Stopping Theorem
for Random Fields . . . . . . . . . . . 66--78
Ya. Yu. Nikitin Local Asymptotic Bahadur Optimality and
Characterization Problems . . . . . . . 79--92
L. I. Gal'chuk Stochastic Integrals with Respect to
Optional Semimartingales and Random
Measures . . . . . . . . . . . . . . . . 93--108
V. V. Senatov An Estimate of the Lévy--Prokhorov Metric 109--114
G. I. Ivchenko Some Statistical Inference Problems for
Stratified Populations . . . . . . . . . 114--119
K. A. Borovkov A Note on the Convergence Speed in
Stability Theorems . . . . . . . . . . . 120--121
I. V. Fedorenko Existence of a Strong Solution of the Itô
Stochastic Differential Equation . . . . 121--123
M. G. Shur The Poisson Theorem and Markov Chains 124--126
V. A. Egorov A Way of Proving Theorems on the Law of
the Iterated Logarithm . . . . . . . . . 126--132
B. I. Selivanov Limit Distributions of the $ \chi^2 $
Statistic . . . . . . . . . . . . . . . 133--134
E. A. Timofeev Random Minimal Trees . . . . . . . . . . 134--141
Yu. L. Daletskii and
O. G. Smolyanov On the Weak Sequential Completeness of
the Spaces of Radon Measures . . . . . . 142--147
N. M. Babayan On Asymptotic Behavior of the Prediction
Error in the Singular Case . . . . . . . 147--150
Yu. G. Kuritsyn On Monotonicity in the Law of Large
Numbers for Exchangeable Random
Variables . . . . . . . . . . . . . . . 150--153
M. L. Kleptsyna and
A. Yu. Veretennikov On Strong Solutions of Stochastic
Itô-Volterra Equations . . . . . . . . . 153--157
V. D. Konakov A Theorem on Deviations of the Empirical
Measure and Its Applications . . . . . . 158--163
Sh. A. Khashimov On the Convergence Rate of the
Distribution of a Quadratic Measure of
Deviation of Nonparametric Density
Estimates . . . . . . . . . . . . . . . 163--169
Anonymous Summary of Reports Presented at Sessions
of the Probability and Statistics
Seminar at the V. A. Steklov
Mathematical Institute of the USSR
Academy of Sciences, 1982-1983 . . . . . 169--183
Anonymous Summary of Reports Presented at Sessions
of the Probability and Statistics
Seminar at the Siberian Section of the
Mathematical Institute of the USSR
Academy of Sciences, 1982 . . . . . . . 183--190
Anonymous Summary of Reports Presented at Sessions
of the Probability and Mathematical
Statistics Seminar at Kiev State
University, 1982 (September to December) 190--196
V. K. Matskyavichus Addendum: a Lower Bound for the
Convergence Rate in the Central Limit
Theorem . . . . . . . . . . . . . . . . 196--197
S. V. Nagav Addendum: On the Speed of Convergence in
a Boundary Problem . . . . . . . . . . . 197--198
G. Englund Addendum: a Remainder Term Estimate in a
Random-Sum Central Limit Theorem . . . . 199--199
A. Yu. Zaitsev Addendum: On the Rate of Convergence in
Kolmogorov's Second Uniform Limit
Theorem . . . . . . . . . . . . . . . . 199--199
Anonymous Corrections from the Editors . . . . . . 200--200
Anonymous News on Scientific Life . . . . . . . . 200--201
Anonymous New Books . . . . . . . . . . . . . . . 202--204
N. V. Krylov Extremal Properties of Solutions of
Stochastic Equations . . . . . . . . . . 205--217
G. M. Fel'dman Generalized Poisson Distribution of
Class $ I_0 $ on Groups . . . . . . . . 218--230
S. A. Molchanov and
V. N. Tutubalin A Linear Model of a Hydromagnetic Dynamo
and Products of Random Matrices . . . . 231--246
V. M. Shurenkov On the Theory of Markov Renewal . . . . 247--265
A. O. Golosov Limit Theorems for Random Walks in
Symmetric Random Environments . . . . . 266--280
O. L. Yanushkyavichene Estimate of the Stability of a
Characterization of the Exponential Law 281--292
L. I. Gal'chuk Optional Semimartingales and Processes
with Independent Increments . . . . . . 293--306
G. K. Golubev Limit Distributions of Stopping Times in
Sequential Testing of Hypotheses . . . . 307--317
A. N. Borodin The Asymptotic Behavior of Local Times
of Recurrent Random Walks with Infinite
Variance . . . . . . . . . . . . . . . . 318--333
Nguen Van Thu Prediction of Banach Space Valued
Strictly Stationary Sequences . . . . . 334--344
D. Stoyan and
J. Ohser Cross-Correlation Measures of Weighted
Random Measures and Their Estimation . . 345--355
V. G. Ushakov and
N. G. Ushakov Indecomposable Probability Distributions
on Groups . . . . . . . . . . . . . . . 356--359
R. I. Grigorchuk and
A. M. Stepin Gibbs States on Countable Groups . . . . 359--362
M. S. Tikhov On Limit Distributions of Estimates for
Two-Sided Censored Samples with a
Discontinuous Density . . . . . . . . . 363--368
A. B. Mukhin Local Limit Theorems for Distributions
of Sums of Independent Random Vectors 369--375
L. V. Osipov and
V. I. Rotar' On an Infinite-Dimensional Central Limit
Theorem . . . . . . . . . . . . . . . . 375--383
D. A. Barsov Limit Theorems for Traces of Sample
Covariance Matrices . . . . . . . . . . 383--391
D. Banjevi\'c On a Kolmogorov Inequality . . . . . . . 391--394
E. R. Vvedenskaya On the Existence of Exact Upper
Sequences . . . . . . . . . . . . . . . 394--397
A. P. Germogenov and
A. F. Ronzhin A Sequential Chi-Square Test . . . . . . 397--403
M. L. Kleptsyna On Strong Solutions of Stochastic
Equations with Degenerate Coefficients 403--407
D. Kh. Mushtari Remarks on Compact Families of
Probability Measures in Banach Spaces 407--410
I. Rihaoui Two Types of Zero-One Law for a Gaussian
Probability . . . . . . . . . . . . . . 411--412
Anonymous Summary of Reports Presented at Sessions
of the Probability and Mathematical
Statistics Seminar at the T. G.
Shevchenko Kiev State University,
February--May 1983 . . . . . . . . . . . 412--419
Anonymous Summary of Reports Presented at Sessions
of the Probability and Mathematical
Statistics Seminar at the Mathematics
Institute of the Siberian Section of the
USSR Academy of Sciences, February--May
1983 . . . . . . . . . . . . . . . . . . 419--424
Anonymous New Books . . . . . . . . . . . . . . . 425--425
D. M. Chibisov and
W. R. van Zwet On the Edgeworth Expansion for the
Logarithm of the Likelihood Ratio. I . . 427--451
A. F. Taraskin On the Behavior of the Likelihood Ratio
of Semimartingales . . . . . . . . . . . 452--464
Yu. A. Kutoyants Expansion of a Maximum Likelihood
Estimate by Diffusion Powers . . . . . . 465--477
B. S. Darkhovskii On Two Estimation Problems for Times of
Change of the Probabilistic
Characteristics of a Random Sequence . . 478--487
Yu. V. Borovskikh Estimates of Characteristic Functions of
Certain Random Variables with
Application to $ \omega^2 $-Statistics.
I . . . . . . . . . . . . . . . . . . . 488--503
E. I. Gordienko Adaptive Strategies for Certain Classes
of Controlled Markov Processes . . . . . 504--518
A. I. Martikainen Criteria for Strong Convergence of
Normalized Sums of Independent Random
Variables and Their Applications . . . . 519--533
T. L. Malevich On Conditions for Finiteness of the
Factorial Moments of the Number of Zeros
of Gaussian Stationary Processes . . . . 534--545
V. V. Buldygin Supports of Probability Measures in
Separable Banach Spaces . . . . . . . . 546--549
A. A. Borovkov On the Convergence Rate in the
Invariance Principle . . . . . . . . . . 550--553
T. I. Isakova Limit Theorem for Diffusion Processes
with Switchings . . . . . . . . . . . . 554--558
D. V. Korolyuk and
D. S. Sil'vestrov Entry Times into Asymptotically Receding
Regions for Processes with Semi-Markov
Switchings . . . . . . . . . . . . . . . 558--563
G. L. Kulinich On the Law of the Iterated Logarithm for
One-Dimensional Diffusion Processes . . 563--566
R. N. Miroshin A Simple Criterion for Finiteness of the
Moments of the Number of Zeros of a
Gaussian Stationary Process . . . . . . 566--569
A. I. Elizarov On the Variance of the Number of
Stationary Points of a Homogeneous
Gaussian Field . . . . . . . . . . . . . 569--570
A. D. Slastnikov Narrow Zones of Normal Convergence for
Sums of Non-Identically Distributed
Random Variables . . . . . . . . . . . . 570--574
I. F. Pinelis and
S. A. Utev Estimates of the Moments of Sums of
Independent Random Variables . . . . . . 574--577
M. Nikunen and
E. Valkeila A Note on One-Dimensional Distances
between Two Counting Processes . . . . . 578--581
A. S. Mal'kov On Non-Uniform Estimates of the
Convergence Rate in One- and
Multi-Dimensional Local Limit Theorems 582--586
S. V. Semovski The Bernshtein--Feller Central Limit
Theorem in $ R^p $ . . . . . . . . . . . 586--591
A. Pluci\'nska A Characterization of Gaussian
Distributions Based on the Lapunow
Condition . . . . . . . . . . . . . . . 591--595
V. G. Ushakov and
N. G. Ushakov On Indecomposable Laws with Infinitely
Divisible Projections . . . . . . . . . 596--598
M. J. Klass An Interpretation of the Finite Mean LIL
Norming Constants . . . . . . . . . . . 599--601
M. L. Puri and
S. S. Ralescu Centering of Signed Rank Statistics with
a Continuous Score-Generating Function 601--607
A. Al-Hussaini and
R. J. Elliott The Single Jump Process with Some
Statistical Applications . . . . . . . . 607--613
A. F. Ronzhin The Limit Distribution for a Chi-Square
Process with Disorder . . . . . . . . . 613--617
I. V. Pavlov and
I. A. Ushakov Unbiased Estimation of a Distribution
Function from a Multiply Truncated
Sample . . . . . . . . . . . . . . . . . 617--620
E. R. Vvedenskaya On the Limit Behavior of Sums of Random
Vectors with Values in Hilbert Space . . 620--622
M. Arató On Parameter Estimation in the Presence
of Noise . . . . . . . . . . . . . . . . 622--628
Anonymous Summary of Reports Presented at Sessions
of the Probability and Mathematical
Statistics Seminar of the Mathematics
Institute of the Siberian Section of the
USSR Academy of Sciences,
October--December 1983 . . . . . . . . . 628--633
Anonymous Summary of Reports Presented at Sessions
of the Probability and Mathematical
Statistics Seminar at the T. G.
Shevchenko Kiev State University,
September--December 1983 . . . . . . . . 634--638
Anonymous Addendum: On the Existence of Exact
Upper Sequences . . . . . . . . . . . . 639--639
Anonymous News on Scientific Life . . . . . . . . 640--643
Anonymous New Books . . . . . . . . . . . . . . . 644--645
S. T. Rachev The Monge--Kantorovich Mass Transference
Problem and Its Stochastic Applications 647--676
L. G. Afanas'eva and
E. V. Bulinskaya Certain Asymptotic Results for Random
Walks in a Strip . . . . . . . . . . . . 677--693
V. L. Girko Circular Law . . . . . . . . . . . . . . 694--706
N. V. Smorodina A Local Invariance Principle for
Processes Linearly Generated by
Independent Random Variables . . . . . . 707--718
M. G. Shur Asymptotic Properties of Positive
Operator Powers. I . . . . . . . . . . . 719--730
P. Greenwood and
E. Perkins Limit Theorems for Excursions from a
Moving Boundary . . . . . . . . . . . . 731--743
A. D. Vent-Tsel' and
S. A. Gladyshev and
G. N. Mil'shteyn Piecewise Constant Approximation for the
Monte--Carlo Calculation of Wiener
Integrals . . . . . . . . . . . . . . . 744--752
M. A. Lifshits An Application of the Stratification
Method to the Study of Functionals of
Processes with Independent Increments 753--765
V. M. Kruglov and
S. N. Antonov Once More on the Asymptotic Behavior of
Infinitely Divisible Distributions in
Banach Space . . . . . . . . . . . . . . 766--775
E. M. Kudlaev Limiting Conditional Distributions for
Sums of Random Variables . . . . . . . . 776--786
J. Panaretos and
R. Shimizu On the Stability of a Characterization
of the Poisson Distribution . . . . . . 787--791
L. B. Klebanov and
G. M. Maniya and
I. A. Melamed A Problem of Zolotarev and Analogs of
Infinitely Divisible and Stable
Distributions in a Scheme for Summing a
Random Number of Random Variables . . . 791--794
A. V. Bulinskii Analogs of the Mann--Whitney Statistic
in an Experiment with Symmetric
Randomization . . . . . . . . . . . . . 795--798
E. V. Kulinskaya A Consistent Estimate for a Scale
Parameter . . . . . . . . . . . . . . . 798--803
Yu. G. Kuritsyn and
A. V. Shestakov On $ \alpha $-Symmetric Distributions 804--806
Yu. A. Koshevnik On Some Limit Properties of
Nonparametric Estimates of a
Distribution Function . . . . . . . . . 807--813
I. I. Tsitovich Sequential Design of Experiments for
Hypothesis Testing . . . . . . . . . . . 814--817
V. P. Nosko Asymptotic Distributions of Curvatures
of a Homogeneous Gaussian Random Field
at Points of High Local Maxima . . . . . 817--823
A. V. Bernshtein Uniformity Classes in Problems of
Testing Composite Hypotheses . . . . . . 823--827
N. V. Kartashov Operator Methods in Limit Theorems for
Markov Processes . . . . . . . . . . . . 828--829
A. I. Sakhanenko On Lévy--Kolmogorov Inequalities for
Banach-Space-Valued Random Variables . . 830--836
Anonymous Summary of Reports Presented at Sessions
of the Probability and Statistics
Seminar at the Leningrad Section at the
V. A. Steklov Mathematical Institute of
the USSR Academy of Sciences,
February--December 1983 . . . . . . . . 836--853
Anonymous Summary of Reports Presented at Sessions
of the Probability and Statistics
Seminar at the V. A. Steklov
Mathematical Institute of the USSR
Academy of Sciences, February-June, 1984 853--857
Anonymous New Books . . . . . . . . . . . . . . . 858--858
Anonymous Erratum . . . . . . . . . . . . . . . . 859--859
V. L. Girko and
V. V. Vasil'yev Limit Theorems for Normalized Spectral
Functions of Non-Selfadjoint Random
Jacobi Matrices . . . . . . . . . . . . 1--8
A. I. Martikainen Regular Methods of Summing Random Terms 9--18
S. V. Nagaev On the Rate of Convergence to Normal Law
in Hilbert Space . . . . . . . . . . . . 19--37
N. G. Ushakov Upper Estimates of Maximum Probability
for Sums of Independent Random Vectors 38--49
R. Ya. Chitashvili On the Existence of an Innovation
Process for a Component of a
Diffusion-Type Process . . . . . . . . . 50--65
U. Zähle Asymptotic Properties of Point Processes
of Rare Events of Gaussian Fields. II 66--74
I. G. Zhurbenko Statistical Estimation of Higher-Order
Spectra . . . . . . . . . . . . . . . . 75--86
A. V. Bernshtein On Asymptotically Complete Classes of
Tests in the Problem of Verification of
Composite Hypotheses under Contiguous
Alternatives . . . . . . . . . . . . . . 87--102
M. Arató On Sufficient Statistics of Gaussian
Processes with Rational Spectral Density
Function . . . . . . . . . . . . . . . . 103--116
Yu. V. Borovskikh Estimates of Characteristic Functions of
Some Random Variables with Applications
to $ \omega^2 $-Statistics. II . . . . . 117--127
A. E. Shemyakin A Problem of Estimating the Coordinates
of a Radiation Source . . . . . . . . . 128--140
O. V. Viskov An Algebraic Characterization of the
Normal Distribution . . . . . . . . . . 141--143
I. F. Pinelis and
A. I. Sakhanenko Remarks on Inequalities for Large
Deviation Probabilities . . . . . . . . 143--148
N. M. Zinchenko A Strong Invariance Principle for Sums
of Random Variables from the Domain of
Attraction of a Stable Law . . . . . . . 148--152
J. Bethmann Characterization of Power-Mixtures by
Means of Their One-Sided Asymptotic
Behavior . . . . . . . . . . . . . . . . 153--157
J. Nyblom Large Deviation Probabilities for the
Ratio of Two Quadratic Forms in Normal
Variables . . . . . . . . . . . . . . . 157--160
A. F. Ronzhin On the Probability of Exit from a
Square-Root Boundary by the Norm of a
Brownian Motion . . . . . . . . . . . . 160--162
Z. A. Ivkovi\'c Spectral Type of Hermite Polynomial of a
Wiener Process . . . . . . . . . . . . . 162--164
M. I. Kleptsyna Comparison, Existence and Uniqueness
Theorems for Stochastic Differential
Equations . . . . . . . . . . . . . . . 164--169
V. A. Lebedev On the Uniqueness of a Solution to a
Stochastic Differential Equation with
Driving Martingale and Random Measure 169--174
A. Yu. Khrennikov An Existence Theorem for a Solution of a
Stochastic Differential Equation in a
Locally Convex Space . . . . . . . . . . 174--177
V. F. Gaposhkin A Remark on Strong Consistency of LS
Estimates under Weakly Correlated
Observation Errors . . . . . . . . . . . 177--181
V. I. Lotov On the Asymptotic Behavior of
Characteristics of the Sequential
Likelihood Ratio Test . . . . . . . . . 181--187
E. M. Kudlaev Limit Theorems for a Class of Separable
Statistics . . . . . . . . . . . . . . . 187--192
Sh. A. Mirakhmedov Estimates of Closeness of the
Distribution of a Randomized Separable
Statistic to the Normal Law in a
Multinomial Scheme . . . . . . . . . . . 192--196
A. M. Leontovich On a Condition for Slowly Growing Number
of Dependencies . . . . . . . . . . . . 196--201
A. L. Yakymiv Asymptotic Properties of Subcritical and
Supercritical Reduced Branching
Processes . . . . . . . . . . . . . . . 201--206
Anonymous Summary of Reports Presented at Sessions
of the Seminar on Probability and
Mathematical Statistics at the Leningrad
Branch of the Steklov Mathematical
Institute of the Academy of Sciences of
the USSR . . . . . . . . . . . . . . . . 207--217
Anonymous Summary of Reports Presented at Sessions
of the Seminar on Probability Theory and
Mathematical Statistics at the
Shevchenko Kiev State University . . . . 217--222
Anonymous News on Scientific Life . . . . . . . . 223--223
Anonymous New Books . . . . . . . . . . . . . . . 224--224
V. M. Kruglov Weak Convergence of Random Polygonal
Lines to a Wiener Process . . . . . . . 225--234
T. R. Vinogradova On the Accuracy of Normal Approximation
on Sets Defined by a Smooth Function. I 235--246
N. V. Kartashov Inequalities in Theorems of Ergodicity
and Stability for Markov Chains with
Common Phase Space. I . . . . . . . . . 247--259
M. G. Shur Asymptotic Properties of Powers of
Positive Operators. II . . . . . . . . . 260--271
M. Yu. Kitayev Semi-Markov and Jump Markov Controlled
Models: Average Cost Criterion . . . . . 272--288
D. M. Chibisov Calculation of the Deficiency of
Asymptotically Efficient Tests . . . . . 289--310
Yu. I. Ingster Asymptotically Optimal Tests for
Verifying Composite Finite-Parameter
Hypotheses . . . . . . . . . . . . . . . 311--332
B. Ya. Levit Second-Order Asymptotic Optimality and
Positive Solutions of Schrödinger's
Equation . . . . . . . . . . . . . . . . 333--363
A. A. Levitskaya The Probability of Consistency of a
System of Random Linear Equations over
an Arbitrary Finite Ring . . . . . . . . 364--375
S. S. Barsov On the Accuracy of the Normal
Approximation of the Distribution of a
Random Sum of Random Vectors . . . . . . 376--379
V. V. Senatov On the Dependency of Estimates of the
Convergence Rate in the Central Limit
Theorem on the Covariance Operator of
the Summands . . . . . . . . . . . . . . 380--383
I. B. Klebanov and
R. V. Yanushkyavichyus Estimation of Stability in S. N.
Bernshtein's Theorem . . . . . . . . . . 383--386
V. Yu. Korolev Convergence of Moments of Random Sums of
Independent Random Variables . . . . . . 386--390
S. V. Ermakov and
E. I. Ostrovskii The Central Limit Theorem for Weakly
Dependent Banach-Valued Variables . . . 391--394
N. S. Bratiichuk and
V. S. Korolyuk The Resolvent of a Homogeneous Process
with Independent Increments Stopped on a
Halfline . . . . . . . . . . . . . . . . 395--398
E. I. Volkova Limit Theorems for a Critical Branching
Process with Moving particles . . . . . 398--403
A. F. Ronzhin Chernoff Efficiency for Goodness-of-Fit
Tests Based on Empirical Distribution
Functions . . . . . . . . . . . . . . . 404--407
M. B. Nevel'son On Properties of Moments of Stochastic
Approximation Procedures . . . . . . . . 407--413
Yu. M. Kabanov An Estimate of Closeness in Variation of
Probability Measures . . . . . . . . . . 413--417
E. L. Presman Approximation in Variation of the
Distribution of a Sum of Independent
Bernoulli Variables with a Poisson Law 417--422
F. G. Ragimov On the Density of the First Exit Time of
a Stable Process Across a Nonlinear
Boundary . . . . . . . . . . . . . . . . 422--427
N. G. Gamkrelidze A Measure of ``smoothness'' of
Multidimensional Distributions of
Integer-Valued Random Vectors . . . . . 427--431
Anonymous Reviews and Bibliography . . . . . . . . 432--435
Anonymous News of Scientific Life . . . . . . . . 436--436
Anonymous New Books . . . . . . . . . . . . . . . 437--438
V. S. Korolyuk and
Yu. V. Borovskikh Approximation of Nondegenerate
$U$-Statistics . . . . . . . . . . . . . 439--450
Sh. A. Mirakhmedov Estimates of Proximity to the Normal
Distribution in Sampling without
Replacement . . . . . . . . . . . . . . 451--464
M. Sh. Braverman The Characteristic Properties of Normal
and Stable Distributions . . . . . . . . 465--474
G. M. Fel'dman On Infinitely Divisible Distributions of
the Class $ I_0 $ on Groups . . . . . . 475--488
M. Muminov and
E. G. Samandarov Inequalities for Some Random Walk
Processes . . . . . . . . . . . . . . . 489--495
K. A. Borovkov On the Convergence of Branching
Processes to a Diffusion Process . . . . 496--506
N. V. Kartashov Inequalities in Theorems of Ergodicity
and Stability for Markov Chains with
Common Phase Space. II . . . . . . . . . 507--515
M. Ozawa Continuous Affine Functions on the Space
of Markov Kernels . . . . . . . . . . . 516--528
P. M. Bleher Theorem on Large Deviations in a
Neighborhood of the Critical Point of
the $ \varphi^4 $-Hierarchical Model . . 529--541
R. M. Megrabyan On the Set of Sums of Function Series in
the Spaces $ L_\Phi $ . . . . . . . . . 542--556
S. Yu. Efroimovich Nonparametric Estimation of a Density of
Unknown Smoothness . . . . . . . . . . . 557--568
A. V. Nagaev On a Method of Calculating Moments of
Ladder Heights . . . . . . . . . . . . . 569--572
S. T. Rachev Uniformity in Weak and Vague Convergence 573--576
M. A. Antonets and
A. A. Tsvetkov On Representing Random Variables as
Continuous Functions . . . . . . . . . . 577--580
L. S. Ponomarenko On Estimating Distributions of
Normalized Quadratic Forms of Normally
Distributed Random Variables . . . . . . 580--584
V. I. Rotar' and
T. L. Shervashidze Some Estimates of Distributions of
Quadratic Forms . . . . . . . . . . . . 585--590
T. R. Vinogradova On the Accuracy of Normal Approximation
on Sets Defined by a Smooth Function. II 590--594
V. I. Pagurova On Chauvenet's Test for Finding Several
Outliers . . . . . . . . . . . . . . . . 594--598
A. M. Kagan A Simple Modification of Pitman
Estimates for a Location Parameter . . . 598--603
V. K. Malinovskii On Second-Order Efficiency of an
Asymptotically Efficient Test Based on
Markov Observations . . . . . . . . . . 603--608
V. I. Timonin and
O. M. Chernomordik A method for calculating the exact
distribution of Kolmogorov--Smirnov
statistics under Lehmann alternatives 608--610
O. I. Shipilov An Analogue of the Glivenko--Cantelli
Theorem for Binomial Sampling from a
Finite Population . . . . . . . . . . . 610--613
A. V. Bernshtein A Refinement of Theorems on Complete
Classes of Tests . . . . . . . . . . . . 613--617
S. Yu. Vsekhsvyatskii and
V. V. Kalashnikov Estimates of the Moments of Occurrence
of Rare Events in Regenerative Processes 618--621
R. M. Mnatsakanov A Functional Limit Theorem for
Additively Separable Statistics in the
Case of Very Rare Events . . . . . . . . 622--626
A. A. Grusho On Convergence of Counting Processes
Associated with $U$-Statistics . . . . . 626--630
W. Kordecki Some Recurrence Formulas for Probability
of Correctedness of Random Graphs . . . 630--632
Anonymous VIII Seminar on Problems of Stability of
Stochastic Models . . . . . . . . . . . 633--644
Anonymous Summary of Reports Presented at Sessions
of the Seminar in Probability Theory and
Mathematical Statistics at the
Shevchenko State University, Kiev . . . 644--655
Anonymous News on Scientific Life . . . . . . . . 656--657
Anonymous New Books . . . . . . . . . . . . . . . 658--659
A. D. Venttsel' Infinitesimal Characteristics of Markov
Processes in a Function Space which
Describes the Past . . . . . . . . . . . 661--676
V. L. Girko Elliptic Law . . . . . . . . . . . . . . 677--690
A. V. Asriev and
V. I. Rotar' On the Convergence Rate in the
Infinite-Dimensional Central Limit
Theorem for Probabilities of Hitting
Parallelepipeds . . . . . . . . . . . . 691--701
B. A. Zalesskii On the Convergence Rate in the Central
Limit Theorem on a Class of Sets in
Hilbert Space . . . . . . . . . . . . . 702--711
D. König and
V. Schmidt Limit Theorems for Single-Server
Feedback Queues Controlled by a General
Class of Marked Point Processes . . . . 712--719
A. P. Korostelev Minimax Properties of the Maximum
Likelihood Estimate for a Drifting
Parameter . . . . . . . . . . . . . . . 720--735
A. I. Martikainen On the One-Sided Law of the Iterated
Logarithm . . . . . . . . . . . . . . . 736--749
G. N. Mil'shtein Weak Approximation of Solutions of
Systems of Stochastic Differential
Equations . . . . . . . . . . . . . . . 750--766
V. P. Nosko The Local Structure of a Homogeneous
Gaussian Random Field in a Neighborhood
of High Level Points . . . . . . . . . . 767--782
S. M. Sagitov Reduced Critical Bellman-Harris
Branching Process with Several Types of
Particles . . . . . . . . . . . . . . . 783--796
V. V. Senatov Four Examples of Lower Estimates in the
Multi-Dimensional Central Limit Theorem 797--805
A. F. Ronzhin A Functional Limit Theorem for
Homogeneous $U$-Statistics with a
Degenerate Kernel . . . . . . . . . . . 806--810
V. K. Matskyavichyus On a Lower Bound for the Convergence
Rate in a Local Limit Theorem . . . . . 810--814
S. A. Kovyazin On the Limit Behavior of a Class of
Empirical Means of a Random Set . . . . 814--820
B. S. Tsirel'son A Geometric Approach to Maximum
Likelihood Estimation for Infinite-
Dimensional Gaussian Location. II . . . 820--828
V. A. Kaimanovich The Uniform Distribution on Compact
Homogeneous Spaces and the
Kantorovich-Rubinshtein Metric . . . . . 828--831
A. M. Kagan Information Property of Exponential
Families . . . . . . . . . . . . . . . . 831--835
V. A. Ivanov On a Generalization of Separable
Statistics . . . . . . . . . . . . . . . 835--840
O. M. Dukarski and
B. Ya. Levit Second-Order Asymptotic Minimax Property
in Linear Regression . . . . . . . . . . 840--845
B. S. Darkhovskii A Nonparametric Method of Estimating
Intervals of Homogeneity for a Random
Sequence . . . . . . . . . . . . . . . . 845--849
L. V. Rozovskii Some Estimates for Probabilities of
One-Sided Large Deviations . . . . . . . 850--855
W. Eberl A Characterization of the Gamma
Distribution by Optimal Estimates . . . 855--860
Y. Q. Yin and
P. R. Krishnaiah Limit Theorem for the Eigenvalues of the
Sample Covariance Matrix when the
Underlying Distribution is Isotropic . . 861--867
S. W. Dharmadhikari and
K. Joag-Dev The Gauss-Tchebyshev Inequality for
Unimodal Distributions . . . . . . . . . 867--871
Anonymous News on Scientific Life . . . . . . . . 872--872
V. K. Matskyavichyus Addendum: a Lower Bound for the
Convergence Rate in the Central Limit
Theorem . . . . . . . . . . . . . . . . 873--874
Anonymous New Books . . . . . . . . . . . . . . . 875--876
I. V. Ostrovskii The Arithmetic of Probability
Distributions . . . . . . . . . . . . . 1--24
V. V. Ul'yanov Asymptotic Expansions for Distributions
of Sums of Independent Random Variables
in $H$ . . . . . . . . . . . . . . . . . 25--39
G. M. Feld'man Bernstein Gaussian Distributions on
Groups . . . . . . . . . . . . . . . . . 40--49
V. A. Vatutin Sufficient Conditions for Regularity of
Bellman-Harris Branching Processes . . . 50--57
A. V. Bernshtein Asymptotically Complete Classes of Tests
in the Multivariate Case with Asymptotic
Expansions . . . . . . . . . . . . . . . 58--71
N. N. Lyashenko Graphs of Random Processes as Random
Sets . . . . . . . . . . . . . . . . . . 72--80
G. I. Ivchenko and
Yu. I. Medvedev Estimation of the Rate of Convergence in
Limit Theorems for Divisible Statistics 81--87
I. Rakhimov Critical Branching Processes with
Infinite Variance and Decreasing
Immigration . . . . . . . . . . . . . . 88--100
V. I. Sherstnev Transition Phenomena for Final
Probabilities of Branching Processes . . 101--107
M. Nyssbaum Nonparametric Estimation of a Regression
Function that is Smooth in a Domain in $
R^k $ . . . . . . . . . . . . . . . . . 108--115
Anonymous Iosif Il'ich Gikhman . . . . . . . . . . 116--117
Anonymous Vyacheslav Vasil'evich Sazonov . . . . . 118--118
V. V. Senatov On the Dependence of Estimates of the
Convergence Rate in the Central Limit
Theorem for Balls with Center at Zero on
the Covariance Operator of the Summands 119--122
V. A. Abramov Stability of Decompositions in the
$M$-Scheme . . . . . . . . . . . . . . . 123--124
M. A. Lifshits On the Distribution of the Maximum of a
Gaussian Process . . . . . . . . . . . . 125--132
S. P. Chistyakov On a Regression Problem for Random
Processes . . . . . . . . . . . . . . . 132--135
A. M. Zubkov On Compound Probability Metrics with
Fixed Minimal Ones . . . . . . . . . . . 135--137
I. Ya. Shneiberg Hierarchical Sequences of Random
Variables . . . . . . . . . . . . . . . 137--141
Ts. G. Khakhubia A Limit Theorem for a Maximum-Likelihood
Estimate of the Disorder Time . . . . . 141--144
M. L. Puri and
T.-J. Wu The Order of Normal Approximation for
Signed Linear Rank Statistics . . . . . 145--151
G. Siegel Vague Convergence for Convolutions and
for Infinitely Divisible Functions . . . 152--159
Anonymous Summary of Reports Presented at Sessions
of the Seminar on Probability Theory and
Mathematical Statistics at the Institute
of Mathematics of the Siberian Section
of the USSR Academy of Sciences,
September--December 1984 . . . . . . . . 160--165
Anonymous Summary of Reports Presented at Sessions
of the Seminar on Probability Theory and
Mathematical Statistics in the Leningrad
Section of the V. A. Steklov
Mathematical Institute of the USSR
Academy of Sciences, September--December
1984 . . . . . . . . . . . . . . . . . . 166--174
V. M. Kruglov and
S. N. Antonov Addendum: Once More on the Asymptotic
Behavior of Infinitely Divisible
Distributions in Banach Space . . . . . 175--175
V. M. Shurenkov Addendum: On the Theory of Markov
Renewal . . . . . . . . . . . . . . . . 175--175
Anonymous New Books . . . . . . . . . . . . . . . 176--177
I. S. Borisov and
A. A. Borovkov Second-Order Approximation of Random
Polygonal Lines in the
Donsker--Prokhorov Invariance Principle 179--202
A. Yu. Zaitsev Estimates of the Lévy--Prokhorov Distance
in the Multivariate Central Limit
Theorem for Random Variables with Finite
Exponential Moments . . . . . . . . . . 203--220
P. E. Greenwood and
A. A. Novikov One-Sided Boundary Crossing for
Processes with Independent Increments 221--232
S. A. Grishechkin On the Regularity of Branching Processes
with Several Types of Particles . . . . 233--243
S. E. Kuznetsov On the Existence of a Homogeneous
Transition Function . . . . . . . . . . 244--254
L. V. Rozovskii On the Accuracy of Approximation in
Limit Theorems for Large Deviations . . 255--268
V. K. Malinovskii Limit Theorems for Harris Markov Chains,
I . . . . . . . . . . . . . . . . . . . 269--285
A. P. Yushkevich Nicholas Bernoulli and the Publication
of James Bernoulli's \booktitleArs
Conjectandi . . . . . . . . . . . . . . 286--303
N. V. Krylov The Sufficiency of Adjoined Markov
Strategies for Controlled Diffusion
Processes . . . . . . . . . . . . . . . 304--309
L. Seidl' An Estimate of the Moment of the
Regeneration Period in a Closed
Central-Server Queueing Network . . . . 309--313
A. V. Nagaev On a Boundary Problem for a Nonrecurrent
Random Walk . . . . . . . . . . . . . . 313--317
H. Carlsson and
O. Nerman Continuous Singular Probability Measures
That are Almost Lattice . . . . . . . . 317--319
V. G. Ushakov and
N. G. Ushakov On Decomposing Blends of Probability
Distributions . . . . . . . . . . . . . 319--322
V. A. Bulychev The Markov Property of an Evolutionary
Stochastic Equation . . . . . . . . . . 322--327
V. V. Slavova An Estimate of the Convergence Rate of
Partial Moments . . . . . . . . . . . . 327--332
Yu. I. Ingster Minimax Testing of Nonparametric
Hypotheses on a Distribution Density in
the $ L_p $ Metrics . . . . . . . . . . 333--337
O. I. Klesov The Law of the Iterated Logarithm for
Weighted Sums of Independent Identically
Distributed Random Variables . . . . . . 337--342
Y. Q. Yin and
P. R. Krishnaiah Limit Theorems for the Eigenvalues of a
Product of Large Dimensional Random
Matrices When the Underlying
Distribution is Isotropic . . . . . . . 342--346
A. M. Arkhangel'skii On Lower Bounds for Probabilities of
Large Deviations . . . . . . . . . . . . 346--351
L. I. Piterbarg On the Structure of the Smallest
Splitting $ \sigma $-Algebra for a
Generalized Gaussian Field with Rational
Spectrum . . . . . . . . . . . . . . . . 351--355
A. M. Pardzhanadze Functional Limit Theorems in the Problem
of a Posteriori Detection of Disorder 355--358
Anonymous Summary of Reports Presented at Sessions
of the Seminar on Probability Theory and
Mathematical Statistics at the Institute
of Mathematics of the Siberian Section
of the USSR Academy of Sciences,
February--June 1985 . . . . . . . . . . 359--363
Anonymous Summary of Reports Presented at Sessions
of the Seminar on Probability Theory and
Mathematical Statistics at the V. A.
Steklov Mathematics Institute of the
USSR Academy of Sciences, November
1984--July 1985 . . . . . . . . . . . . 364--367
Anonymous Reviews and Bibliography . . . . . . . . 368--371
Anonymous News of Scientific Life . . . . . . . . 372--373
Anonymous New Books . . . . . . . . . . . . . . . 374--374
G. P. Chistyakov Decompositional Stability of
Distribution Laws . . . . . . . . . . . 375--390
I. A. Ibragimov and
A. S. Nemirovskii and
R. Z. Khas'minskii Some Problems on Nonparametric
Estimation in Gaussian White Noise . . . 391--406
David G. Kendall Further Developments and Applications of
the Statistical Theory of Shape . . . . 407--412
A. A. Borovkov Limit Theorems for Queueing Networks. I 413--427
V. A. Vatutin A Critical Bellman-Harris Branching
Process with Particles of Final Type . . 428--438
V. F. Kolchin On the Behavior of a Random Graph Near a
Critical Point . . . . . . . . . . . . . 439--451
V. V. Buldygin and
S. A. Solntsev The Contraction Principle and the Strong
Law of Large Numbers for Weighted Sums 452--462
J. Beirlant and
J. K. Teugels The Asymptotic Behavior of Hill's
Estimator . . . . . . . . . . . . . . . 463--469
B. S. Tsirel'son A Geometric Approach to Maximum
Likelihood Estimation for
Infinite-Dimensional Location. III . . . 470--483
L. I. Piterbarg On the Structure of the Infinitesimal $
\sigma $-Algebra of Gaussian Processes
and Fields . . . . . . . . . . . . . . . 484--492
A. S. Kholevo Infinitely Divisible Measurements in
Quantum Probability Theory . . . . . . . 493--497
N. G. Dokuchaev On First Exit Times for Homogeneous
Diffusion Processes . . . . . . . . . . 497--498
A. I. Martikainen On Chung's Law for Nonidentically
Distributed Independent Summands . . . . 498--500
A. A. Klyachko and
Yu. V. Solodyannikov Calculation of Characteristic Functions
of Some Functionals of a Wiener Process
and a Brownian Bridge . . . . . . . . . 500--504
Z. S. Zerakidze The Construction of Statistical
Structures . . . . . . . . . . . . . . . 505--508
A. L. Yakymiv Asymptotic Properties of the Times the
States Change in a Random Record Process 508--512
E. V. Kulinskaya On Locally Most Powerful Tests in Rank
ANOVA . . . . . . . . . . . . . . . . . 512--515
I. V. Evstigneev Regular Conditional Expectations of
Random Variables Depending on Parameters 515--518
N. N. Lyashenko The Geometric Convergence of Random
Processes with Arbitrary Discontinuities 518--520
V. P. Nosko On the Distribution of the Arc Length of
a High-Level Excursion of a Stationary
Gaussian Process . . . . . . . . . . . . 521--523
V. K. Malinovskii Asymptotic Expansions in the Central
Limit Theorem for Recurrent Markov
Renewal Processes . . . . . . . . . . . 523--526
M. L. Puri and
D. A. Ralescu and
S. S. Ralescu Gaussian Random Sets in Banach Space . . 526--529
V. A. Lebedev On Sequences of Random Processes with
Tight Jump Majorization . . . . . . . . 529--533
Anonymous Summary of Reports Presented at Sessions
of the Probability Theory and
Mathematical Statistics Seminar at the
T. G. Shevchenko Kiev State University
(December 1984--May 1985) . . . . . . . 534--543
Anonymous Summary of Reports Presented at the
Seminar Entitled ``Probability Methods
in Discrete Mathematics'' at the V. A.
Steklov Mathematical Institute
(April--December 1985) . . . . . . . . . 544--550
Anonymous Summary of Reports Presented at Sessions
of the Seminar on Probability Theory and
Mathematical Statistics at the Leningrad
Branch of the V. A. Steklov Mathematical
Institute of the Academy of Sciences of
the USSR (February-December 1985) . . . 551--559
Anonymous New Books . . . . . . . . . . . . . . . 560--561
Anonymous New Books from Nauka Press . . . . . . . 561--562
A. V. Skorokhod Topologically Recurrent Markov Chains:
Ergodic Properties . . . . . . . . . . . 563--571
L. A. Kassalygo and
R. L. Dobrushin Uniqueness of a Gibes Field with Random
Potential --- an Elementary Approach . . 572--589
L. Seidl' On the Limit Distributions of Random
Symmetric Functions . . . . . . . . . . 590--603
N. V. Krylov An Approach to Controlled Diffusion
Processes . . . . . . . . . . . . . . . 604--626
V. Yu. Bentkus Large Deviations in Banach Spaces . . . 627--632
V. A. Abramov Limit Theorems in the Multiplicative
Scheme . . . . . . . . . . . . . . . . . 633--644
E. Pancheva General Limit Theorems for Maximum of
Independent Random Variables . . . . . . 645--657
E. A. Fainberg Sufficient Classes of Strategies in
Discrete Dynamic Programming I:
Decomposition of Randomized Strategies
and Embedded Models . . . . . . . . . . 658--668
A. M. Pardzhanadze and
É. V. Khmaladze On the Asymptotic Theory of Statistics
of Sequential Ranks . . . . . . . . . . 669--682
V. I. Afanas'ev On Functionals of a Random Walk Prior to
First Reaching the Negative Half-Axis 683--687
V. N. Nikulin On the Theory of Equivariant Estimation
on Groups . . . . . . . . . . . . . . . 687--691
A. Yu. Zaitsev On the Logarithmic Factor in Smoothing
Inequalities for the Lévy and
Lévy--Prokhorov Distances . . . . . . . . 691--693
O. N. Gol'tyaeva and
V. P. Chistyakov On Estimating the Criticality Parameter
of a Branching Process with Immigration 693--697
A. I. Martikainen On a Conjecture of Yu. V. Prokhorov . . 697--703
V. Chorny Operator-Semistable Distributions on $
{\bf R}^d $ . . . . . . . . . . . . . . 703--705
V. I. Pagurova and
K. D. Rodionov On Asymptotic Properties of a Test for
Detecting Outliers . . . . . . . . . . . 705--708
L. V. Kir'yanova and
V. I. Rotar' A Lemma on ``Corrected'' Distributions 708--712
E. D. Chibisova On a Problem of B. V. Gnedenko in a
Scheme of Partial Summation . . . . . . 712--715
L. L. Branitskaya On Limit Distributions of Third-Degree
Random Symmetric Polynomials . . . . . . 715--717
A. A. Dorogovtsev On Application of a Gaussian Random
Operator to Random Elements . . . . . . 717--720
Yu. N. Vladimirskii Tight Components of Cylindrical Measures 720--723
M. Yu. Sverchkov On Smoothing the Distributions of a
Discrete-Time Renewal Process . . . . . 723--725
V. A. Romanov Conditional Functional Limit Theorems
for Randomized Walks . . . . . . . . . . 726--729
F. A. Aliev A Lower Bound for the Convergence Rate
in the Central Limit Theorem in Hilbert
Space . . . . . . . . . . . . . . . . . 730--733
A. N. Tikhomirov On the Distribution of the Maximum Sum
of Weakly Dependent Variables . . . . . 733--738
Yu. G. Kuritsyn On the Least-Squares Method for
Elliptically Contoured Distributions . . 738--740
Anonymous New Books . . . . . . . . . . . . . . . 741--742
Yu. A. Rozanov Markov Random Fields and Boundary
Problems for Stochastic Partial
Differential Equations . . . . . . . . . 1--29
I. A. Ibragimov and
R. Z. Khas'minskii Estimation of Linear Functionals in
Gaussian Noise . . . . . . . . . . . . . 30--39
A. Yu. Zaitsev On the Uniform Approximation of
Distributions of Sums of Independent
Random Variables . . . . . . . . . . . . 40--47
B. A. Rogozin Estimation of the Maximum of a
Convolution of Bounded Densities . . . . 48--56
V. I. Lotov Asymptotic Expansions in a Sequential
Likelihood Ratio Test . . . . . . . . . 57--67
V. M. Kruglov Parameter-Dependent Law of the Iterated
Logarithm . . . . . . . . . . . . . . . 68--76
Ya. Yu. Nikitin On the Hodges--Lehmann Asymptotic
Efficiency of Nonparametric Tests of
Goodness of Fit and Homogeneity . . . . 77--85
V. P. Borovikov Limit Theorems for Statistics that are
Partial Sums of Functions of Spacings 86--97
B. A. Kostava and
V. M. Shurenkov Some Renewal Type Theorems . . . . . . . 98--106
N. V. Norin Stochastic Integrals and Differential
Measures . . . . . . . . . . . . . . . . 107--116
V. B. Nevzorov The Distribution of the Maximum Term in
a Sequence of Sample Means . . . . . . . 117--121
A. A. Yushkevich Application of Bellman Inequalities to
Control of a Queueing System . . . . . . 121--125
A. M. Ulanovskii On Unique Determination of Convolutions
of One-Type Distribution Functions by
Restriction to a Half-Line . . . . . . . 125--127
V. F. Gaposhkin On the Summation Almost Everywhere of
Stationary Sequences . . . . . . . . . . 128--131
A. S. Kholevo A Representation of Lévy-Khinchine Type
in Quantum Probability Theory . . . . . 131--136
G. M. Koshkin On a Method of Removing Bias of
Estimates . . . . . . . . . . . . . . . 136--138
I. V. Pavlov A Sequential Procedure for Testing Many
Composite Hypotheses . . . . . . . . . . 138--142
A. B. Tsybakov On the Choice of the Bandwidth in Kernel
Nonparametric Regression . . . . . . . . 142--148
A. Yu. Veretennikov On Strong Solutions of Itô Stochastic
Equations with Jumps . . . . . . . . . . 148--152
R. M. Mnatsakanov On the Convergence of Separable
Statistics to a Wiener Process . . . . . 152--157
R. Rebolledo Weakening the Skorokhod Topology for
Measure Valued Processes . . . . . . . . 157--159
O. V. Lepskii Asymptotic Minimax Parameter Estimation
for Nonsymmetric Loss Functions . . . . 160--164
Yu. G. Kuritsyn On Strong Monotonicity of Arithmetic
Means of Exchangeable Random Variables 165--166
N. P. Kandelaki Distributions Connected with Orthogonal
Gaussian Systems . . . . . . . . . . . . 167--168
E. Lanery Bayesian Solutions without
Disintegration . . . . . . . . . . . . . 168--175
N. N. Amosova On a Local Version of Kolmogorov's
Problem . . . . . . . . . . . . . . . . 175--178
Anonymous Summaries of Reports Presented at
Sessions of the Seminar on Probability
Theory and Mathematical Statistics at
the Shevchenko State University, Kiev
(1985) . . . . . . . . . . . . . . . . . 179--185
Anonymous Summary of Reports Presented at Sessions
of the Seminar on Probability Theory and
Mathematical Statistics at the Institute
of Mathematics of the Siberian Section
of the USSR Academy of Sciences
(September-December 1985) . . . . . . . 186--190
Anonymous Reviews and Bibliography . . . . . . . . 191--195
Anonymous New Books . . . . . . . . . . . . . . . 196--197
Anonymous The First World Congress of the
Bernoulli Society of Mathematical
Statistics and Probability Theory . . . 199--200
V. B. Nevzorov Records . . . . . . . . . . . . . . . . 201--228
V. L. Girko Introduction to General Statistical
Analysis . . . . . . . . . . . . . . . . 229--242
V. V. Buldygin and
S. A. Solntsev The Strong Law of Large Numbers for Sums
of Independent Random Vectors with
Operator Normalizations and Null
Convergence of Gaussian Sequences . . . 243--256
A. A. Borovkov Limit Theorems for Queueing Networks. II 257--272
A. Yu. Veretennikov Bounds for the Mixing Rate in the Theory
of Stochastic Equations . . . . . . . . 273--281
A. F. Ronzhin Limit Theorems for the Disruption
Problem of a Sequence of Independent
Random Variables . . . . . . . . . . . . 282--289
I. Rakhimov A Limit Theorem for Random Sums of
Dependent Indicators and Its
Applications in the Theory of Branching
Processes . . . . . . . . . . . . . . . 290--298
M. U. Gafurov and
A. D. Slastnikov Some Problems of the Exit of a Random
Walk Beyond a Curvilinear Boundary and
Large Deviations . . . . . . . . . . . . 299--321
A. M. Kagan A Class of Two-Dimensional Distributions
Arising in Connection with the Cramér and
Darmois-Skitovich Theorems . . . . . . . 323--325
B. A. Rogozin Inequalities for Concentration Functions
of Convolutions of Arithmetic
Distributions and Distributions with
Bounded Densities . . . . . . . . . . . 325--329
S. S. Barsov Rate of Convergence to the Normal
Distribution and Decrease of the Tail of
the Summand Distribution . . . . . . . . 329--331
A. G. Postnikov and
A. A. Yudin Estimating the Maximum Probability of a
Sum of Independent Vectors . . . . . . . 331--334
A. V. Bulinskii and
N. V. Verdenskaya An Estimate of the Convergence Rate in
the Functional Law of the Iterated
Logarithm . . . . . . . . . . . . . . . 334--337
N. N. Amosova An Inequality for Probabilities of Large
Deviations . . . . . . . . . . . . . . . 337--340
L. A. Alyushina Euler Polygonal Lines for Itô Equations
with Monotone Coefficients . . . . . . . 340--345
Yu. I. Ingster On the Comparison of the Minimax
Properties of Kolmogorov's $ \omega^2 $
Test and $ \chi^2 $ Test . . . . . . . . 346--350
G. V. Vinokurov On a Critical Galton--Watson Branching
Process with Emigration . . . . . . . . 350--353
S. M. Tikhov Estimates of Parameters of Densities
that are Singular in a Quantile
Neighbourhood, Based on Some Order
Statistics . . . . . . . . . . . . . . . 353--358
An. A. Novikov Asymptotic Optimality of the Sequential
$d$-Guaranty Test . . . . . . . . . . . 358--361
R. M. Mnatsakanov On the Convergence of Divisible
Statistics to the Poisson Process . . . 361--365
P. N. Sapozhnikov Hilbert Statistical Structures Admitting
a Nontrivial Optimal Algebra . . . . . . 365--368
A. A. Grusho On the Problem of the Distributions of
$U$-Statistics . . . . . . . . . . . . . 369--373
Sh. A. Khashimov On the Asymptotic Distribution of the
Generalized $U$-Statistics for Dependent
Variables . . . . . . . . . . . . . . . 373--375
A. N. Arkhangel'skii Lower Bounds for the Probabilities of
Large Deviations in the Multidimensional
Case . . . . . . . . . . . . . . . . . . 375--380
A. A. Makarov The asymptotic behavior of the limit
distribution of the Kolmogorov--Smirnov
statistic in the case of a composite
hypothesis for the class of projecting
estimates of an unknown parameter . . . 380--383
Anonymous News of Scientific Life . . . . . . . . 384--385
B. V. Gnedenko and
D. M. Chibisov Jubilees . . . . . . . . . . . . . . . . 386--386
Anonymous New Books . . . . . . . . . . . . . . . 387--388
A. N. Kolmogorov and
V. A. Uspenskii Algorithms and Randomness . . . . . . . 389--412
V. G. Vovk The Law of the Iterated Logarithm for
Random Kolmogorov, or Chaotic, Sequences 413--425
A. E. Shemyakin Rao-Cramér Type Integral Inequalities for
Estimates of a Vector Parameter . . . . 426--434
E. A. Fajnberg Sufficient Classes of Strategies in
Discrete Dynamic Programming. II:
Locally Stationary Strategies . . . . . 435--448
A. P. Korostelev Minimax Form of the Law of the Iterated
Logarithm for Statistical Estimates . . 449--457
E. I. Kolomiets On the Asymptotic Behavior of
Probabilities of Type I and Type II
Errors in the Neyman--Pearson Test.
(Case of Total Asymptotically
Distinguishable Hypotheses) . . . . . . 458--476
E. Valkeila and
L. Yu. Vostrikova On Predictable Tests of $ (c_n)
$-Consistency of Estimates . . . . . . . 477--489
Z. D. Bai and
Y. Q. Yin and
P. R. Krishnaiah On the Limiting Empirical Distribution
Function of the Eigenvalues of a
Multivariate $F$ Matrix . . . . . . . . 490--500
V. A. Abramov General Limit Theorems in the $M$-Scheme 501--503
M. Sh. Braverman On a Way of Characterizing Probability
Distributions . . . . . . . . . . . . . 503--507
E. A. Asarin Some Properties of Kolmogorov $ \Delta
$-Random Finite Sequences . . . . . . . 507--508
V. V. V'yugin On the Defect of Randomness of a Finite
Object with Respect to Measures with
Given Complexity Bounds . . . . . . . . 508--512
An. A. Muchnik Lower Limits of Frequencies in
Computable Sequences and Relativized a
Priori Probability . . . . . . . . . . . 513--514
R. V. Freivald On the Operating Time of Errorless
Probabilistic Turing Machines . . . . . 514--516
A. Kh. Shen' Probabilistic Strategies in Finite Games
with Complete Information . . . . . . . 516--518
E. D. Chibisova On a Scheme of Partial Summation . . . . 518--521
S. V. Semivskii Discriminant Analysis When the Sample is
Finite and the Feature Space Dimension
Increases . . . . . . . . . . . . . . . 521--525
G. I. Falin On the Convergence of Queueing Processes
to Stationary Processes in Structurally
Complex Lossy Systems . . . . . . . . . 525--527
T. A. Torondzhadze Coincidence of the $ \sigma $-Algebras
in a Scheme of Partially Observable
Diffusion Processes . . . . . . . . . . 527--531
A. I. Daugavet Bounds for the Convergence Rate of
Numerical Characteristics in Limit
Theorems with Stable Limit Law . . . . . 531--535
B. S. Nakhapetyan An Approach to Proving Limit Theorems
for Dependent Random Variables . . . . . 535--539
A. M. Nikabadze On a Method for Constructing
Goodness-of-Fit Tests for Parametric
Hypotheses in $ R^m $ . . . . . . . . . 539--544
M. V. Men'shikov Quantitative Estimates and Rigorous
Inequalities for Critical Points of a
Graph and Its Subgraphs . . . . . . . . 544--547
M. V. Men'shikov and
A. F. Sidorenko The Coincidence of Critical Points in
Poisson Percolation Models . . . . . . . 547--550
S. A. Zuev Bounds for the Percolation Threshold for
a Square Lattice . . . . . . . . . . . . 551--553
K. D. Rodionov On the Detection of Outliers in the Case
of an Exponential Distribution . . . . . 553--556
I. S. Molchanov Uniform Laws of Large Numbers for
Empirical Associated Functionals of
Random Closed Sets . . . . . . . . . . . 556--559
Z. Rychlik and
I. Szyszkowski The Invariance Principle for $ \varphi
$-Mixing Sequences . . . . . . . . . . . 559--562
J. Bethmann Limiting Behavior of Sums of a Random
Number of Independent and Identically
Distributed Random Variables . . . . . . 562--565
G. M. Fel'dman On a Characterization of the Gaussian
Distribution on Abelian Groups . . . . . 565--569
Anonymous New Books . . . . . . . . . . . . . . . 570--571
V. E. Stepanov On Some Features of the Structure of a
Random Graph Near a Critical Point . . . 573--594
V. V. Sarafyan and
A. V. Skorokhod On Fast-Switching Dynamical Systems . . 595--607
V. M. Kruglov and
A. M. Ulanovskii Mixtures of Probability Distributions
Uniquely Determined by Their Behavior on
a Half-Line . . . . . . . . . . . . . . 608--616
V. P. Dragalin and
A. A. Novikov Asymptotic Solution of the Kiefer--Weiss
Problem for Processes with Independent
Increments . . . . . . . . . . . . . . . 617--627
A. L. Yakymiv Asymptotic Behavior of a Class of
Infinitely Divisible Distributions . . . 628--639
B. S. Darkhovskii and
B. E. Brodskii A Nonparametric Method for Fastest
Detection of a Change in the Mean of a
Random Sequence . . . . . . . . . . . . 640--648
F. S. Nasyrov On the Derivative of Local Time for the
Brownian Sheet with Respect to a Space
Variable . . . . . . . . . . . . . . . . 649--658
V. P. Nosko Asymptotic Distributions of
Characteristics of High-Level Overshoots
of a Homogeneous Gaussian Random Field 659--669
A. N. Baushev On Weak Convergence of Gaussian Measures 670--677
L. G. Mityushin On Mixing in Complex Markov Chains with
Variable Memory Depth . . . . . . . . . 678--685
G. Sh. Lev Generalized Multiplication Processes . . 686--695
Sh. A. Mirakhmedov Approximation of the Distribution of
Multidimensional Randomized Divisible
Statistics by Normal Distributions
(Multinomial Scheme) . . . . . . . . . . 696--706
Anonymous Obituary: Academician Andrei Nikolaevich
Kolmogorov . . . . . . . . . . . . . . . 707--707
A. V. Stepanov On Logarithmic Moments for Interrecord
Times . . . . . . . . . . . . . . . . . 708--710
L. G. Afanas'eva On the Ergodicity of an Open Queueing
Network . . . . . . . . . . . . . . . . 710--714
S. V. Zhulenev The Law of the Iterated Logarithm and
Its Indicators . . . . . . . . . . . . . 714--717
M. A. Perel'muter and
Yu. A. Semenov Elliptic Operators Preserving
Probability . . . . . . . . . . . . . . 718--721
V. I. Timonin On the Limit Distribution of Statistics
of a Nonparametric Test . . . . . . . . 721--724
N. M. Zinchenko Asymptotic Behavior of the Increments of
Stable Random Processes with Jumps of
One Sign . . . . . . . . . . . . . . . . 724--727
A. P. Korostelev On Minimax Estimation of a Discontinuous
Signal . . . . . . . . . . . . . . . . . 727--730
A. L. Ronkin and
A. M. Ulanovskii On Determining a Sum of Close
Distributions from Their Convolution
Values . . . . . . . . . . . . . . . . . 730--734
E. V. Sedunov and
N. G. Sidorenko Unbiased Design of Experiments in a
Hilbert Space . . . . . . . . . . . . . 734--738
G. N. Mil'shtein A Theorem on the Order of Convergence of
Mean-Square Approximations of Solutions
of Systems of Stochastic Differential
Equations . . . . . . . . . . . . . . . 738--741
L. A. Alyushina Passage to the Limit in Stochastic Itô
Equations with Monotone Coefficients . . 741--744
E. B. Bagirov A Lower Bound for Distributions of
Quadratic Forms of Normally Distributed
Random Variables . . . . . . . . . . . . 744--748
S. V. Semovskii Operator-Normalized Sums of Random
Vectors: Convergence to the Normal Law
Together with Convergence of Moments . . 748--749
A. Yu. Zaitsev Addendum: Estimates of the Lévy-Prokhorov
Distance in the Multivariate Central
Limit Theorem for Random Variables with
Finite Exponential Moments . . . . . . . 750--750
Anonymous News of Scientific Life: XX
School-Colloquium on Probability Theory
and Mathematical Statistics . . . . . . 751--751
Anonymous Reviews and Bibliography . . . . . . . . 752--756
Anonymous New Books . . . . . . . . . . . . . . . 757--758
L. A. Aliushina and
N. V. Krylov Passage to the Limit in Itô Stochastic
Equations . . . . . . . . . . . . . . . 1--10
V. V. Yurinskii On the Error of Averaging
Multidimensional Diffusions . . . . . . 11--21
A. M. Chebotarev Sufficient Conditions for the Regularity
of Jump Markov Processes . . . . . . . . 22--35
A. K. Stepanov A Similarity Theorem and Its
Applications to Percolation of Random
Fields on the Plane. I. Scaling of
Percolation . . . . . . . . . . . . . . 36--49
T. L. Malevich and
L. N. Volodina Conditions for the Finiteness of the
Moments of the Number of Zeros of a
Gaussian Vector Field . . . . . . . . . 50--61
V. F. Gaposhkin Summability of Sequences of Independent
Random Variables . . . . . . . . . . . . 62--74
K. S. Kubacki and
D. Szynal The Convergence of Moments in a Random
Limit Theorem of H. Robbins' Type . . . 75--85
A. F. Ronzhin Goodness-of-Fit Tests for Generalized
Urn Schemes Based on Separable
Statistics . . . . . . . . . . . . . . . 86--95
Yu. L. Pavlov Distributions of the Number of Vertices
in Strata of a Random Forest . . . . . . 96--104
K. A. Borovkov A Method of Proving Limit Theorems for
Branching Processes . . . . . . . . . . 105--113
E. V. Krichagina and
R. Sh. Liptser and
A. A. Pukhal'skii Diffusion Approximation of Systems with
Arrival Depending on Queue, and with
Arbitrary Servicing . . . . . . . . . . 114--124
V. S. Korolyuk and
Yu. V. Borovskikh Convergence Rate for Degenerate von
Mises Functionals . . . . . . . . . . . 125--135
I. A. Ibragimov A Probabilistic Analogue of a Theorem of
Córdoba and Fefferman . . . . . . . . . . 137--139
A. V. Nagaev and
S. M. Shkol\cprimenik Some Properties of Symmetric Stable
Distributions Close to the Normal
Distribution . . . . . . . . . . . . . . 139--144
T. Mikosch On the Law of the Iterated Logarithm for
Quadratic Forms in Independent Gaussian
Variables . . . . . . . . . . . . . . . 144--148
E. R. Vvedenskaya On the Monotonicity of Exact Upper
Sequences for Sums of Independent Random
Vectors in Hilbert Space . . . . . . . . 148--151
G. P. Chistyakov On the Problem of $ \alpha
$-Factorizations of the Normal
Distribution . . . . . . . . . . . . . . 152--155
E. Pancheva Max-Stability . . . . . . . . . . . . . 155--158
Yu. A. Davydov A Remark on the Absolute Continuity of
Distributions of Gaussian Functionals 158--161
A. I. Elizarov Central Limit Theorem for the Sojourn
Time and Local Time of a Stationary
Process . . . . . . . . . . . . . . . . 161--164
V. B. Goryainov On Lévy--Baxter Theorems for Stochastic
Elliptic Equations . . . . . . . . . . . 164--167
I. V. Ostrovskii On the Zeros of Entire Characteristic
Functions of Distributions Concentrated
on the Half-Line . . . . . . . . . . . . 167--171
N. K. Bakirov Extrema of the Distribution of the $ S^2
$ Statistic . . . . . . . . . . . . . . 171--175
Yu. A. Kutoyants An Example of Estimating a Parameter of
a Nondifferentiable Drift Coefficient 175--179
Sh. A. Khashimov On the Limit Distribution of a
Two-Sample von Mises Functional with
Variable Kernel . . . . . . . . . . . . 179--182
A. I. Pavlov Local Limit Theorems for the Number of
Components of Random Permutations and
Mappings . . . . . . . . . . . . . . . . 183--187
G. I. Ivchenko and
S. V. Tsukanov On New Statistical Tests in the
Multinomial Scheme and Their Asymptotic
Properties . . . . . . . . . . . . . . . 187--191
E. Xekalaki and
J. Panaretos On the Association of the Pareto and the
Yule Distribution . . . . . . . . . . . 191--195
\`E. B. Bagirov Addendum: a Lower Bound for the
Distributions of Quadratic forms of
Normally Distributed Random Variables 196--196
D. M. Chibisov and
W. R. van Zwet Addendum: On the Edgeworth Expansion for
the Logarithm of the Likelihood Ratio. I 196--196
Anonymous Twenty-First School-Colloquium on
Probability Theory and Mathematical
Statistics . . . . . . . . . . . . . . . 197--198
Anonymous International Seminar on Problems of
Stability of Stochastic Models . . . . . 198--198
Anonymous All-Union School-Seminar on Ergodic
Theory of Markov Processes . . . . . . . 199--199
Anonymous Reviews and Bibliography . . . . . . . . 200--200
Anonymous Reviews and Bibliography . . . . . . . . 201--203
Anonymous New Books . . . . . . . . . . . . . . . 204--205
B. A. Zalesski\u\i and
V. V. Sazonov and
V. V. Ul\cprimeyanov Normal Approximation in Hilbert Space. I 207--227
A. V. Lëtchikov A Limit Theorem for a Random Walk in a
Random Environment . . . . . . . . . . . 228--238
B. A. Zalesski\u\i On the Accuracy of Normal Approximation
in Banach Spaces . . . . . . . . . . . . 239--247
L. Se\u\idl\cprime On Limit Distributions of Random
Symmetric Polynomials . . . . . . . . . 248--259
I. A. Dzhvarsheishvili On Amarts with Discrete Time . . . . . . 260--268
Prakasa Rao Law of Iterated Logarithm for
Fluctuation of Posterior Distributions
for a Class of Diffusion Processes and a
Sequential Test of Power One . . . . . . 269--275
V. I. Lotov On the Accuracy of Approximation in the
Sequential Wald Test . . . . . . . . . . 276--285
A. M. Kagan New Classes of Dependent Random
Variables and a Generalization of the
Darmois--Skitovich Theorem to Several
Forms . . . . . . . . . . . . . . . . . 286--295
M. S. Ginovyan Asymptotically Efficient Nonparametric
Estimation of Functionals of a Spectral
Density Having Zeros . . . . . . . . . . 296--303
M. S. Ermakov On Asymptotically Optimum Equivariant
Sequential Estimation of a Location
Parameter of a Non-Smooth Density . . . 304--315
M. P. Krivenko and
I. B. Matskevich Properties of Elements in Estimating
Monotone Trend . . . . . . . . . . . . . 316--329
V. I. Bogachëv On Skorokhod Differentiability of
Measures . . . . . . . . . . . . . . . . 330--334
J. Bethmann The Lindberg--Feller Theorem for Sums of
a Random Number of Independent Random
Variables in a Triangular Array . . . . 334--339
V. M. Kruglov The Convergence of Moments of Random
Sums . . . . . . . . . . . . . . . . . . 339--342
K. A. Borovkov Refinement of Poisson Approximation . . 343--347
S. Yu. Vsekhsvyatskii and
V. V. Kalashnikov Estimates in Renyi's Theorem in Terms of
Renewal Theory . . . . . . . . . . . . . 347--352
N. G. Gamkrelidze On the Application of a Smoothness
Function in Proving a Local Limit
Theorem . . . . . . . . . . . . . . . . 352--355
D. S. Mindlin and
B. A. Rubshte\u\in Convolutions of Random Measures on a
Compact Group . . . . . . . . . . . . . 355--357
M. Ya. Kel\cprimebert and
M. L. Kontsevich and
A. N. Rybko On Jackson Networks on Denumerable
Graphs . . . . . . . . . . . . . . . . . 358--361
E. A. Timofeev On Finding the Expected Length of a
Random Minimal Tree . . . . . . . . . . 361--365
I. Rakhimov Local Limit Theorems for Critical
Galton--Watson Processes with Decreasing
Immigration . . . . . . . . . . . . . . 365--369
G. I. Falin Comparability of Migration Processes . . 370--372
D. M. Chibisov The Equivalence of Two Forms of an
Asymptotic Expansion . . . . . . . . . . 373--377
V. F. Gaposhkin On a Relationship between Ergodicity of
a Continuous-Time Stationary Process and
a Quantized Process . . . . . . . . . . 377--381
V. A. Topchi\u\i Moderate Deviations for the Total Number
of Particles in Critical Branching
Processes . . . . . . . . . . . . . . . 382--385
F. F. Frolov Boundary-Value Problems for Systems of
Stochastic Partial Differential
Equations . . . . . . . . . . . . . . . 385--388
Yu. S. Mishura Exponential Formulas and Doléans'
Equation for Discontinuous Two-Parameter
Processes . . . . . . . . . . . . . . . 388--392
L. V. Denisov Infinitely Divisible Markov Mappings in
Quantum Probability Theory . . . . . . . 392--395
V. A. Gurevich On Weighted $M$-Estimates in Nonlinear
Regression . . . . . . . . . . . . . . . 395--399
V. N. Ol\cprimeman Preservation of the Bayes Property in
the Problem of Estimating Functions of
the Mean of the Normal Law . . . . . . . 399--402
Anonymous New Books . . . . . . . . . . . . . . . 403--404
V. V. Prelov Communication Channel Capacity with
Almost Gaussian Noise . . . . . . . . . 405--422
S. S. Barsov On a Comparison Principle . . . . . . . 423--432
I. V. Evstigneev Controlled Random Fields on an Oriented
Graph . . . . . . . . . . . . . . . . . 433--445
A. V. Mel\cprimenikov and
A. A. Novikov Sequential Inferences with Prescribed
Accuracy for Semimartingales . . . . . . 446--459
V. A. Vatutin and
S. M. Sagitov A decomposable critical Bellman--Harris
branching process with two types of
particles. I . . . . . . . . . . . . . . 460--472
B. A. Zalesski\u\i and
V. V. Sazonov and
V. V. Ul\cprimeyanov Normal Approximation in Hilbert Space.
II . . . . . . . . . . . . . . . . . . . 473--487
N. V. Smorodina Differential Calculus in Configuration
Space and Stable Measures . . . . . . . 488--499
A. V. Uglanov On the Smoothness of Distributions of
Functionals of Random Processes . . . . 500--508
M. O. Dzhne\u\id and
N. A. Ruzhevich and
V. M. Shurenkov Potentials of ergodic chains,
semi-Markov processes, and sums of
nonnegative variables . . . . . . . . . 509--522
Z. J. Jurek and
J. Rosi\'nski Continuity of Certain Random Integral
Mappings and the Uniform Integrability
of Infinitely Divisible Measures . . . . 523--535
V. V. Senatov Some Remarks on Nonuniform Estimates of
the Convergence Rate . . . . . . . . . . 536--539
V. Yu. Korolev On the Accuracy of Normal Approximation
for the Distributions of Sums of a
Random Number of Independent Random
Variables . . . . . . . . . . . . . . . 540--544
A. P. Korostelëv Recursive Nonparametric Estimation by
Observing a Trajectory of a Process with
Independent Increments . . . . . . . . . 544--547
A. D. Bendikov and
I. V. Pavlov A Wiener Process with Reflection and
Harmonic Functions with Finite Energy
Integral . . . . . . . . . . . . . . . . 547--550
S. V. Vinnichenko and
V. V. Mazalov Games with a Stopping Rule for Wiener
Processes . . . . . . . . . . . . . . . 550--552
Yu. I. Ingster Minimax Testing of a Simple Hypothesis
Against a Weakly Nonparametric Set of
Alternatives . . . . . . . . . . . . . . 552--556
V. A. Zorin and
A. K. Iyubimov The Distribution of Quadratic Forms of
Gaussian Vectors . . . . . . . . . . . . 557--560
E. Omey and
S. Rachev On the Rate of Convergence in Extreme
Value Theory . . . . . . . . . . . . . . 560--566
Sh. A. Khashimov On Limit Theorems for the Distributions
of Generalized von Mises Functionals . . 566--571
N. N. Lyashenko and
M. S. Nikulin and
S. I. Fedorov The Forecasting Problem for Random
Processes with Allowance for the
Duration of Calculation . . . . . . . . 571--574
O. G. Purtukhiya On the Filtering Equations of a
Multidimensional Diffusion Process
(Increasing Coefficients) . . . . . . . 574--578
A. V. Mel\cprimenikov The Disorder Problem for Semimartingales 578--582
N. O. Vil\cprimechevski\u\i On a Process of Inventory Theory . . . . 582--585
Anonymous Reviews and Bibliography . . . . . . . . 586--590
Anonymous New Books . . . . . . . . . . . . . . . 591--593
Anonymous Information . . . . . . . . . . . . . . 593--593
A. A. Borovkov On the Ergodicity and Stability of the
Sequence $ w_{n + 1} = f(w_n, \xi_n) $:
Applications to Communication Networks 595--611
M. L. Blank Deterministic Properties of
Stochastically Perturbed Dynamic Systems 612--623
V. V. Buldygin and
S. A. Solntsev Equivalence of Sample and Sequential
Continuity of Gaussian Processes and the
Continuity of Gaussian Markov Processes 624--637
A. E. Fryntov Characterization of a Gaussian
Distribution by Gaps in Its Sequence of
Cumulants . . . . . . . . . . . . . . . 638--644
S. E. Shlosman Relations among the Cumulants of Random
Fields with Attraction . . . . . . . . . 645--655
M. G. Shur Ratio Limits Theorems for Random Walks
in Homogeneous Spaces. I . . . . . . . . 656--667
R. V. Yanushkyavichyus Convolution Equations in Stability
Problems on Characterizations of
Probability Laws . . . . . . . . . . . . 668--681
M. L. Puri and
M. Seoh On the Rate of Convergence in Normal
Approximation and Large Deviation
Probabilities for a Class of Statistics 682--697
Anonymous Obituary: Sagdy Khasanovich Sirazhdinov 698--699
B. A. Zalesski\u\i and
V. V. Sazonov and
V. V. Ul\cprimeyanov A Regular Estimate of the Accuracy of
Normal Approximation in Hilbert Space 700--701
V. G. Alekseev On the Uniform Convergence of Estimates
of the Spectral Density of a Homogeneous
Gaussian Random Field . . . . . . . . . 701--705
V. P. Artamonovski\u\i On Maximum Likelihood Estimation of the
Shift and Scale Parameters Based on
Grouped Samples . . . . . . . . . . . . 705--708
E. B. Bagirov Some Remarks on Mixtures of Normal
Distributions . . . . . . . . . . . . . 709--710
E. B. Bagirov Lower Bounds for the Tails of
Distributions of Cubic Forms of Normally
Distributed Random Variables . . . . . . 711--715
A. D. Bendikov and
I. V. Pavlov On Spaces of Harmonic Functions with
Martingale Mixed Norm . . . . . . . . . 715--718
M. Sh. Braverman and
V. M. Kruglov An Inequality for Absolute Pseudomoments 718--722
M. S. Ginovyan On Estimating the Value of a Linear
Functional of the Spectral Density of a
Gaussian Stationary Process . . . . . . 722--726
N. V. Gribkova On the Rate of Convergence to the Normal
Law of Finitely Truncated Linear
Combinations of Order Statistics . . . . 726--729
V. A. Gurevich On Estimating the Parameter of a
Regression Function without the
Condition of Unbiasedness . . . . . . . 729--732
Yu. A. Davydov Local Limit Theorems for Functionals of
Random Processes . . . . . . . . . . . . 732--738
Z. Ivkovi\'c and
P. M. Perunici\'c Transformation of a Continuous Gaussian
Process by Rarefying Its Innovation
Process . . . . . . . . . . . . . . . . 738--743
P. Schatte On the Value Distribution of Sums of
Random Variables . . . . . . . . . . . . 743--747
D. M. Young and
D. W. Turner and
J. W. Seaman A Note on a Kolmogorov Inequality for
the Binomial Distribution . . . . . . . 747--749
G. I. Ivchenko and
Sh. A. Mirakhmedov On the Asymptotic Normality of
Randomized Separable Statistics in a
Generalized Allocation Scheme . . . . . 749--755
V. Yu. Korolev Nonuniform Estimates of the Accuracy of
Normal Approximation of the
Distributions of Random Sums of
Independent Random Variables . . . . . . 755--759
G. M. Koshkin Improved Non-Negative Kernel Estimate of
a Density . . . . . . . . . . . . . . . 759--764
N. K. Bakirov Letter to the editors: ``Inequalities
for distributions of normalized
quadratic forms in random variables''
[Teor. Veroyatnost. i Primenen. \bf 23
(1978), no. 3, 676--680; MR 80h:60030]
by L. S. Ponomarenko and ``A lower bound
for distributions of quadratic forms of
normally distributed random variables''
[ibid. \bf 32 (1987), no. 4, 815--819;
MR 90m:62118a] by \`E. B. Bagirov . . . 765--765
A. N. Shiryaev Andrei Nikolaevich Kolmogorov: In
Memoriam . . . . . . . . . . . . . . . . 1--99
B. V. Gnedenko The Department of Probability Theory at
Moscow State University . . . . . . . . 100--107
A. Yu. Za\u\itsev Multidimensional Version of the Second
Uniform Limit Theorem of Kolmogorov . . 108--128
N. H. Bingham The Work of A. N. Kolmogorov on Strong
Limit Theorems . . . . . . . . . . . . . 129--139
V. I. Oseledets Kolmogorov's Theory of Turbulence and
the Evolution of States of a System of
Cellular Automata of the Type of Lattice
Gas Invariant States . . . . . . . . . . 140--152
V. M. Zolotarev Limit Theorems as Stability Theorems . . 153--163
Ya. G. Siani and
A. N. Shiryaev The Fiftieth Anniversary of the Creation
of the Probability Theory Department of
the Mechanics and Mathematics Faculty of
Moscow University, Founded by A. N.
Kolmogorov . . . . . . . . . . . . . . . 164--165
Yu. K. Belyaev and
B. V. Gnedenko and
A. D. Solov'ev Mathematical Reliability-Theoretical
Research at the Probability Theory
Department . . . . . . . . . . . . . . . 165--169
N. N. Vakhaniya A. N. Kolmogorov and the Evolution of
the Theory of Probability Distributions
in Linear Spaces . . . . . . . . . . . . 170--174
I. G. Zhurbenko Time Series Research in the Department
of Probability Theory and Mathematical
Statistics at Moscow University . . . . 174--179
V. S. Korolyuk The Boundary Layer in the Asymptotic
Analysis of Random Walks . . . . . . . . 179--186
V. A. Malyshev and
Ya. G. Sinai Some Research in Ergodic Theory and
Mathematical Problems of Statistical
Mechanics in the Moscow University
Department of Probability Theory . . . . 186--193
M. B. Malyutov and
Yu. N. Tyurin Some Research in Mathematical Statistics
by the Department of Probability Theory
of Moscow University . . . . . . . . . . 193--197
Yu. A. Rozanov On the Theory of Generalized Random
Functions . . . . . . . . . . . . . . . 197--200
B. A. Sevast'yanov Research on Branching Processes in the
Probability Theory Department of Moscow
University . . . . . . . . . . . . . . . 200--204
Anonymous New Books . . . . . . . . . . . . . . . 205--206
N. K. Bakirov Extrema of the Distributions of
Quadratic Forms of Gaussian Variables 207--215
V. A. Vatutin and
S. M. Sagitov Decomposable Critical Bellman--Harris
Branching Process with Two Particle
Types. II . . . . . . . . . . . . . . . 216--227
S. Yu. Efro\u\imovich Sequential Nonparametric Estimation of a
Density . . . . . . . . . . . . . . . . 228--239
O. K. Zakusilo General Storage Processes with Additive
Inputs . . . . . . . . . . . . . . . . . 240--251
V. K. Malinovski\u\i Limit Theorems for Harris Markov Chains,
II . . . . . . . . . . . . . . . . . . . 252--265
N. V. Smorodina and
M. A. Lifshits The Distribution of the Norm of a Stable
Vector . . . . . . . . . . . . . . . . . 266--274
\uI. Tomko On the Theory of Semi-Markov Processes
with Common Phase Space . . . . . . . . 275--289
G. M. Fel\cprimedman Marcinkiewicz and Lukacs Theorems on
Abelian Groups . . . . . . . . . . . . . 290--297
Sh. A. Khashimov Asymptotic Properties of Functions of
Spacings . . . . . . . . . . . . . . . . 298--306
W. Linde Gaussian Measure of Translated Balls in
a Banach Space . . . . . . . . . . . . . 307--317
T. R. Vinogradova Estimation of Characteristic Functions
of Functionals of Multidimensional
Gaussian Random Variables . . . . . . . 318--321
A. A. Dorogovtsev On the Composition of Random Mappings in
Hilbert Space . . . . . . . . . . . . . 322--327
A. M. Kagan A Generalized Condition for Random
Vectors to be Identically Distributed
Related to the Analytical Theory of
Linear Forms of Independent Random
Variables . . . . . . . . . . . . . . . 327--332
R. E. Ma\u\iboroda The Central Limit Theorem for Empirical
Moment Generating Functions . . . . . . 332--335
V. F. Onishchenko Estimation of the Parameters of the
Moving Average in the Case of Infinite
Variance . . . . . . . . . . . . . . . . 335--340
I. S. Pinelis and
S. A. Utev Exact Exponential Bounds for Sums of
Independent Random Variables . . . . . . 340--346
S. N. Smirnov Converse of an Ergodic Theorem of
Sevast'yanov . . . . . . . . . . . . . . 346--348
L. V. Rozovski\u\i The Convergence Rate in the Weak Law of
Large Numbers . . . . . . . . . . . . . 348--351
V. V. Sarafyan Weak Convergence of Measures and
Asymptotic Behavior of Solutions of the
Cauchy Problem for Systems of
Differential Equations with a Small
Parameter . . . . . . . . . . . . . . . 351--357
S. L. Semakov The Probability of the First Attainment
of a Level by a Component of a
Multidimensional Process on a Prescribed
Interval under Restrictions on Its Other
Components . . . . . . . . . . . . . . . 357--361
F. A. Aliev On the Convergence Rate in the Central
Limit Theorem in Hilbert Space . . . . . 361--363
N. M. Arató On a Limit Theorem for Generalized
Gaussian Random Fields Defined by
Stochastic Partial Differential
Equations . . . . . . . . . . . . . . . 363--366
V. V. Senatov On an Estimate of the Convergence Rate
in the Central Limit Theorem in Hilbert
Space . . . . . . . . . . . . . . . . . 366--366
E. Rafaj\lowicz Minimum Cost Experimental Design with a
Prescribed Information Matrix . . . . . 367--370
Y. S. R. Krishnaiah and
M. S. Rao A Note on Weak Convergence of Empirical
Processes Based on Mixing Random
Variables Subject to Perturbation and
Scale Factors . . . . . . . . . . . . . 370--375
Anonymous On the Organization of the Soviet
Committee of the Bernoulli Society . . . 376--376
Anonymous The Charter of the Soviet Committee of
the Bernoulli Society for Mathematical
Statistics, Probability Theory,
Combinatorics and Their Applications . . 376--377
Anonymous The Bernoulli Society . . . . . . . . . 378--380
Anonymous The Conference ``Probability Models of
Control and Reliability Processes'' . . 380--380
Anonymous Twelfth School-Colloquium on Probability
Theory and Mathematical Statistics . . . 381--381
Anonymous New Books . . . . . . . . . . . . . . . 382--383
A. N. Borodin Distributions of Functionals of the
Brownian Local Time I . . . . . . . . . 385--401
A. D. Venttsel\cprime Refinement of the Functional Central
Limit Theorem for Stationary Processes 402--415
Il. I. Gikhman Quasilinear Evolutionary Stochastic
Systems with Averaging . . . . . . . . . 416--429
M. S. Ermakov On Asymptotic Efficiency of Sequential
Estimation of the Location Parameter of
a Nonsmooth Density . . . . . . . . . . 430--440
V. K. Malinovski\u\i Power and Defect Functions of
Asymptotically Efficient Tests in the
Case of Markov Observed Values . . . . . 441--453
R. Z. Khas\cprimeminski\u\i Some Optimal Algorithms of Random
Multiple Access . . . . . . . . . . . . 454--463
M. G. Shur Ratio Limit Theorems for Random Walks in
Homogeneous Spaces II . . . . . . . . . 464--473
A. A. Yushkevich Verification Theorems for Markov
Decision Processes with Controlled
Deterministic Drift and Gradual and
Impulsive Controls . . . . . . . . . . . 474--496
G. Siegel Operator-Stable Distributions in
Separable Banach Spaces . . . . . . . . 497--505
M. Sh. Braverman On Symmetric Spaces and Sequences of
Independent Random Variables . . . . . . 506--509
O. G. Bulcheva and
A. D. Vent-Tsel' Differentiability of Expectations of
Functionals of a Wiener Process . . . . 509--512
V. V. Vinogradov and
V. V. Godovan\cprimechuk Large Deviations of Sums of Independent
Random Variables without Several Maximal
Summands . . . . . . . . . . . . . . . . 512--515
O. K. Zakusilo Markov Semigroups and Processes with
Wide Domains of Infinitesimal Operators 515--519
V. A. Ivnitski\u\i An Invariance Condition for the
Stationary Probabilities of the States
of Networks of Single-Line Queueing
Systems . . . . . . . . . . . . . . . . 519--523
V. Yu. Korolev Approximation of Distributions of Random
Sums of Independent Random Variables by
Mixtures of Normal Laws . . . . . . . . 523--531
M. M. Lutsenko Game-Theoretic Method of Estimating the
Parameter of a Binomial Law from Results
of One Observation . . . . . . . . . . . 531--535
A. L. Miroshnikov Bounds for the Multidimensional Lévy
Concentration Function . . . . . . . . . 535--540
M. N. Sviridenko A martingale approach to limit theorems
for semi-Markov processes . . . . . . . 540--545
A. P. Suchkov and
N. G. Ushakov The Rapid Decay of Concentration
Functions of Sums of Independent Random
Variables . . . . . . . . . . . . . . . 545--548
M. T. Tarashchanski\u\i On the Uniqueness of the Extension of a
Probability Measure . . . . . . . . . . 549--553
É. Lanery Addendum: Solutions bayesiennes sans
désintegration . . . . . . . . . . . . . 554--554
I. Rakhimov Addendum: a Limit Theorem for Random
Sums of Dependent Indicators and Its
Applications in the Theory of Branching
Processes . . . . . . . . . . . . . . . 554--554
V. V. Sazonov Addendum: a Regular Estimate of the
Accuracy of Normal Approximation in
Hilbert Space . . . . . . . . . . . . . 554--554
A. E. Fryntov Erratum: ``Characterization of the
Gaussian distribution by lacunae of a
sequence of cumulants'' [Teor.
Veroyatnost. i Primenen. \bf 33 (1988),
no. 4, 687--693; MR 90a:60027] . . . . . 554--555
Anonymous Reviews and Bibliography . . . . . . . . 556--560
Anonymous New Books . . . . . . . . . . . . . . . 561--564
A. N. Arkhangel\cprimeski\u\i Lower Bounds for Probabilities of Large
Deviations for Sums of Independent
Random Variables . . . . . . . . . . . . 565--575
A. N. Borodin Distributions of Functionals of Brownian
Local Time, II . . . . . . . . . . . . . 576--590
B. A. Zalesski\u\i Probabilities of Large Deviations in
Hilbert space . . . . . . . . . . . . . 591--596
A. N. Kochube\u\i On Diffusions with Invariant Generating
Operators . . . . . . . . . . . . . . . 597--603
O. V. Lepski\u\i Asymptotic Minimax Estimation with
Prescribed Properties . . . . . . . . . 604--615
A. B. Mukhin Local Probabilities for Sums of
Independent Random Variables . . . . . . 616--624
L. V. Rozovski\u\i Probabilities of Large Deviations of
Sums of Independent Random Variables
with Common Distribution Function in the
Domain of Attraction of the Normal Law 625--644
S. Kh. Sirazhdinov and
Sh. A. Mirakhmedov and
Sh. A. Ismatullaev Probabilities of Large Deviations for
Randomized Divisible Statistics in the
Multinomial Scheme . . . . . . . . . . . 645--657
V. I. Tarieladze A Topological Description of
Characteristic Functionals in Some
Groups . . . . . . . . . . . . . . . . . 658--667
D. O. Chikin A Functional Limit Theorem for
Stationary Processes: a Martingale
Approach . . . . . . . . . . . . . . . . 668--678
G. W. Johnson and
G. Kallianpur Some remarks on Y. Z. Hu and P.-A.
Meyer's paper and infinite-dimensional
calculus on finitely additive canonical
Hilbert space: ``Wiener chaos and the
Feynman integral'' [in \it Séminaire de
Probabilités, XXII, 51--71, Lectures
Notes in Math., 1321, Springer, Berlin,
1988; MR 89m:60193] . . . . . . . . . . 679--689
I. S. Badalbaev and
A. Mukhitdinov Limit Theorems for Some Functionals in
Critical Multitype Branching Processes 690--694
A. G. Gadzhiev Statistical Estimates in Linear
Regression Models with Correlated
Observation Errors . . . . . . . . . . . 694--698
M. V. Boldin On Testing Hypotheses in the Sliding
Average Scheme by the Kolmogorov-Smirnov
and $ \omega^2 $ Tests . . . . . . . . . 699--704
A. A. Dorogovtsev The Fourier Transform of Wiener
Functionals and Various Methods of
Stochastic Integration . . . . . . . . . 705--709
T. A. Zhdanok On the Measurability of the Inverse of a
Random Linear Operator . . . . . . . . . 709--713
M. Ya. Kel\cprimebert On the Central Limit Theorem for Jackson
Networks on Countable Graphs . . . . . . 713--714
L. B. Klebanov and
M. V. Neupokoeva A Characterization of a Distribution by
a Property of the Mean Values of Order
Statistics . . . . . . . . . . . . . . . 715--720
S. M. Krasnit\cydotski\u\i Conditions for the Equivalence of
Distributions of Homogeneous Gaussian
Fields . . . . . . . . . . . . . . . . . 720--725
V. A. Lebedev Stochastic Integration with Respect to
Semimartingale Random Measures . . . . . 725--727
M. Mirvaliev Chi-Square Goodness-of-Fit Tests for a
Family of Multidimensional Discrete
Distributions . . . . . . . . . . . . . 728--732
G. I. Salov An Equation for the a Posteriori
Probability of Disorder in a Sequence of
Dependent Random Variables and
Shiryaev-Optimal Detection of the Time
of Occurrence of Disorder . . . . . . . 732--735
A. P. Suchkov and
N. G. Ushakov Exponential Estimates of the Rate of
Decay of the Maximum Probability in
Infinite-Dimensional Spaces . . . . . . 735--738
R. M. Trigub A Criterion for a Characteristic
Function and a Polyá-Type Criterion for
Radial Functions of Several Variables 738--742
S. A. Utev Cumulants and Moment Inequalities . . . 742--747
B. A. Zalesski\u\i The Accuracy of Gaussian Approximation
in Banach Spaces . . . . . . . . . . . . 747--748
Anonymous News of Scientific Life: Two Expositions 749--752
A. K. Aleshkevichiene Probabilities of Large Deviations for
$U$-Statistics and von Mises Functionals 1--14
I. G. Ba\u\iramov and
Yu. I. Petunin Structure of Invariant Confidence
Intervals Containing the Main
Distributed Mass . . . . . . . . . . . . 15--26
Yu. A. Davydov On Distributions of Multiple Wiener--Itô
Integrals . . . . . . . . . . . . . . . 27--37
S. A. Grishechkin Branching Processes and Queueing Systems
with Repeated Orders or with Random
Discipline . . . . . . . . . . . . . . . 38--53
B. P. Harlamov Random Curvilinear Integrals and Their
Applications . . . . . . . . . . . . . . 54--65
N. N. Lyashenko and
M. S. Nikulin Probability Analysis of Round-Off Errors
in Floating-Point Arithmetic . . . . . . 66--74
P. G. Matukhin and
E. I. Ostrovski\u\i Nonparametric Density Estimation by
Results of Multifactor Testing . . . . . 75--86
S. A. Molchanov and
V. N. Tutubalin and
A. D. Ventzel' Asymptotic Problems in Probability
Theory and the Theory of Random Media 87--93
A. S. Nemirovskii On Necessary Conditions for Efficient
Estimation of Functionals of a
Nonparametric Signal in White Noise . . 94--103
I. F. Pinelis On Minimax Risk . . . . . . . . . . . . 104--109
S. T. Rachev and
L. Ruschendorf A Transformation Property of Minimal
Metrics . . . . . . . . . . . . . . . . 110--117
S. M. Sagitov A Multidimensional Critical Branching
Process Generated by a Large Number of
Particles of One Type . . . . . . . . . 118--130
S. A. Utev On the Central Limit Theorem for $
\varphi $-Mixing Arrays of Random
Variables . . . . . . . . . . . . . . . 131--139
N. N. Amosova Narrow Zones of Local Normal Attraction 140--145
O. Chrysaphinou and
S. Papastavridis The Occurrence of Sequence Patterns in
Repeated Dependent Experiments . . . . . 145--152
Yu. S. Mishura A Martingale Characterization of
Diffusion Random Fields on the Plane . . 152--157
V. P. Nosko The Investigation of High-Level
Excursions of Gaussian Fields: a Fresh
Approach Involving Convexity . . . . . . 157--163
Y. Ouknine ``Skew-Brownian Motion'' and Derived
Processes . . . . . . . . . . . . . . . 163--169
H. J. Rossberg Positive Definite Probability Densities 169--174
L. Se\u\idl\cprime Analytic Description of Limit Laws for
Sequences of Random Symmetric
Polynomials . . . . . . . . . . . . . . 174--177
J. M. Ten Vregelaar Note on the Convergence to Normality of
Quadratic Forms in Independent Variables 177--179
Yu. N. Tyurin and
V. E. Figurnov On the Testing of Random Number
Generators . . . . . . . . . . . . . . . 180--184
Yu. F. Yakushev On the Optimal Service of Conflicting
Flows . . . . . . . . . . . . . . . . . 184--190
V. V. Ul\cprimeyanov Letter to the editors: ``Normal
approximation in a Hilbert space. I,
II'' [Teor. Veroyatnost. i Primenen. \bf
33 (1988), no. 2, 225--245; MR
89k:60008; ibid. \bf 33 (1988), no. 3,
508--521; MR 90b:60010] by B. A.
Zalesski\u\i, V. V. Sazonov and
Ul\cprimeyanov . . . . . . . . . . . . . 191--192
Il. I. Gihman Addendum: Quasi-Linear Evolutionary
Stochastic Systems with Averaging . . . 192--192
A. A. Yushkevich Addendum: Verification Theorems for
Markov Decision Processes with
Controlled Deterministic Shift, and
Gradual and Impulse Controls . . . . . . 192--192
D. W. Turner Addendum: a Note on a Kolmogorov
Inequality for the Binomial Distribution 193--193
Anonymous News of Scientific Life . . . . . . . . 194--200
Anonymous New Books . . . . . . . . . . . . . . . 201--204
V. I. Afanas\cprimeev On a Maximum of a Transient Random Walk
in Random Environment . . . . . . . . . 205--215
P. M. Blekher and
N. N. Ganikhodzhaev On Pure Phases of the Ising Model on the
Bethe Lattices . . . . . . . . . . . . . 216--227
N. S. Brati\u\ichuk Arrival Time and Jump Size for a Random
Walk on a Markov Chain . . . . . . . . . 228--240
A. G. Grin\cprime On Domains of Attraction for Sums of
Dependent Variables . . . . . . . . . . 241--257
P. P. Kargaev and
S. V. Fomin The Walsh--Fourier Expansions with
Random Coefficients . . . . . . . . . . 258--268
A. A. Novikov On the First Passage Time of an
Autoregressive Process Over a Level and
an Application to a ``Disorder'' Problem 269--279
I. V. Pavlov Sequential Procedure of Testing
Composite Hypotheses with Applications
to the Kiefer-Weiss Problem . . . . . . 280--292
B. T. Polyak and
A. B. Tsybakov Asymptotic Optimality of the $ C_p
$-Test for the Orthogonal Series
Estimation of Regression . . . . . . . . 293--306
\`E. L. Presman Poisson version of the ``two-armed
bandit'' problem with discounting . . . 307--317
I. N. Volodin and
S. V. Simushkin Confidence Estimation Within the
Framework of the $d$-\em A Posteriori
Approach . . . . . . . . . . . . . . . . 318--329
V. I. Afanas\cprimeev A Conditional Limit Theorem for Additive
Functionals of a Random Walk . . . . . . 330--336
S. V. Anulova Counterexamples: a Stochastic
Differential Equation with Linearly
Increasing Coefficients May Have an
Explosive Solution within a Domain . . . 336--338
A. E. Barabanov Optimal Filtering of a Stationary
Process with Respect to Measured
Discrepancies . . . . . . . . . . . . . 339--341
V. A. Egorov A Functional Law of the Iterated
Logarithm for Ordered Sums . . . . . . . 342--347
H. Herrmann On a Paditz's Problem Concerning the
Restricted Convergence on a Half-Axis In
the Local Central Limit Theorem . . . . 347--352
E. I. Kaplan On the Disorder Problem for Random
Fields . . . . . . . . . . . . . . . . . 352--358
L. V. Kir\cprimeyanova Nonuniform Estimates of the Accuracy of
Normal Approximation for Martingales . . 359--360
A. V. Lëtchikov On a Solution of Kesten's Problem . . . 360--363
T. Mikosch On a Lower Bound in the Law of the
Iterated Logarithm for Gaussian
Quadratic Forms . . . . . . . . . . . . 363--367
D. S. Mindlin The rate of convergence of convolutions
of random measures on a compact group 368--373
D. Monrad and
W. Philipp The Problem of Embedding Vector-Valued
Martingales in a Gaussian Process . . . 374--377
V. N. Nikulin On Two Metrics Applied in Problems of
Stability Characterizations . . . . . . 377--380
R. Norva\u\isha A Remark on Some Stability Results for
Empirical Processes . . . . . . . . . . 380--383
Ph. G. Ragimov On the Local Probabilities of
Intersection of Nonlinear Boundaries by
Sums of Independent Random Variables . . 384--387
G. Sh. Tsitsiashvili Some Methods of Investigating
Regeneration Times in Queueing Networks 387--390
A. Yu. Veretennikov On Large Deviations of the Sojourn Time
for an Ergodic Process . . . . . . . . . 390--393
O. K. Zakusilo Once More on the Local Behavior of
Storage Processes with Stable Input . . 393--396
L. C. Zhao and
P. R. Krishnaiah and
X. R. Chen Almost Sure $ L_r $-Norm Convergence for
Data-Based Histogram Density Estimates 396--403
N. G. Gamkrelidze Addendum: On the Connection Between the
Local and the Integral Theorem for
Lattice Distributions . . . . . . . . . 404--404
Anonymous Reviews and Bibliography . . . . . . . . 405--407
Anonymous New Books . . . . . . . . . . . . . . . 408--409
S. V. Anulova and
B. Sh. Liptser Diffusional Approximation for Processes
with the Normal Reflection . . . . . . . 411--423
V. G. Alekseev On Certain Properties of Statistical
Estimates of Higher-Order Spectral
Densities . . . . . . . . . . . . . . . 424--430
A. A. Gushchin and
A. I. Ekushov Estimation of the Average Payoff from an
Open-Loop Control for One Type of
Controlled Markov Sequences . . . . . . 431--442
V. F. Kovalenko and
Yu. A. Semenov $ C_0 $-Semigroups in $ L^p({\bf R}^d) $
and $ \widehat {C}({\bf R}^d) $ Spaces
Generated by the Differential Expression
$ \Delta + b \cdot \nabla $ . . . . . . 443--453
O. V. Lepski\u\i On a Problem of Adaptive Estimation in
Gaussian White Noise . . . . . . . . . . 454--466
M. M. Lutsenko A Game Theoretic Method for the
Estimation of a Parameter of the
Binomial Law . . . . . . . . . . . . . . 467--477
A. Mokkadem Study of Risks of Kernel Estimators . . 478--486
E. I. Ostrovski\u\i Exponential Bounds for the Distribution
of the Maximum of a Non-Gaussian Random
Field . . . . . . . . . . . . . . . . . 487--499
I. F. Pinelis On Minimax Estimation of Regression . . 500--512
A. K. Stepanov A Similarity Theorem and Its
Applications to Percolation of Random
Fields on the Plane. II. Percolation of
Random Fields on $ Z^2 $ . . . . . . . . 513--522
E. I. Trofimov Normed Supports and Limit Theorems for
Semimartingales . . . . . . . . . . . . 523--538
J. Kubilius and
B. Grigelionis and
V. Paulauskas and
L. Saulis Vitautas Antanovich Statulyavichus (on
the occasion of his sixtieth birthday) 539--541
A. A. Borovkov Ergodicity and Stability of
Multidimensional Markov Chains . . . . . 542--546
K. A. Borovkov On the Convergence of Projections of
Uniform Distributions on Balls . . . . . 546--550
B. E. Brodski\u\i and
B. S. Darkhovski\u\i Asymptotic Analysis of Some Estimates in
the A Posteriori ``Disorder'' Problem 550--556
M. V. Burnashev and
I. A. Begmatov On a Problem of Signal Detection Leading
to Stable Distributions . . . . . . . . 556--560
P. Dittrich A Critical Branching Process in Random
Environment . . . . . . . . . . . . . . 560--563
V. A. Dubko On Diffusion Approximation of the Slow
Component of a Solution of a System of
Stochastic Differential Equations . . . 563--570
V. A. Egorov On the Influence of Extreme Order
Statistics on the Rate of Growth of Sums 570--574
S. V. Kaverin A Refinement of Limit Theorems for
Critical Branching Processes with
Emigration . . . . . . . . . . . . . . . 574--580
A. Yu. Khrennikov The Central Limit Theorem for a
Quasi-Gaussian Distribution on an
Infinite-Dimensional Superspace . . . . 580--583
N. V. Krylov A Simple Proof of the Existence of a
Solution of Itô's Equation with Monotone
Coefficients . . . . . . . . . . . . . . 583--587
P. L. Logunov Estimates for the Convergence Rate to
the Poisson Distribution for Random Sums
of Independent Indicators . . . . . . . 587--590
R. E. Ma\u\iboroda A Nonparametric Method in the
Change-Point Problem for Multivariate
Observations . . . . . . . . . . . . . . 590--593
I. S. Molchanov Empirical Estimation of Distribution
Quantiles of Random Closed Sets . . . . 594--600
V. E. Mosyagin On the Rate of Convergence of a Maximum
Likelihood Process: The Case of
Discontinuous Density . . . . . . . . . 600--602
E. Pancheva Stability of Decomposition in
Multiplicative Semigroup of
Multidimensional Distributions . . . . . 602--604
I. F. Pinelis Inequalities for Distributions of Sums
of Independent Random Vectors and Their
Application to Estimating a Density . . 605--607
G. E. Shuteev Saddlepoint Approximation of a
Distribution of a Statistic . . . . . . 607--612
A. F. Sidorenko A Precise Inequality for the Sum of Two
Random Vectors with Symmetric
Distribution . . . . . . . . . . . . . . 613--617
Anonymous Announcement . . . . . . . . . . . . . . 618--618
M. G. Shur Addendum: Limit Theorems for Ratios
which are Generated by Random Walks in
Homogeneous Spaces . . . . . . . . . . . 618--618
M. G. Shur Erratum: ``On limit theorems for ratios
generated by random walks in homogeneous
spaces. II'' [Teor. Veroyatnost. i
Primenen. \bf 34 (1989), no. 3,
516--527; MR 91d:60165] . . . . . . . . 618--618
Anonymous Reviews and Bibliography . . . . . . . . 619--621
Anonymous New Books . . . . . . . . . . . . . . . 622--623
I. S. Badalbaev and
A. Mukhitdinov On the Limit Distributions of Some
Functionals in Multi-Type Branching
Processes . . . . . . . . . . . . . . . 625--638
B. E. Brodski\u\i and
B. S. Darkhovski\u\i Comparative Analysis of Some
Nonparametric Methods of Fastest
Detection of the Moment of ``Disorder''
of a Random Sequence . . . . . . . . . . 639--652
V. A. Egorov On the Strong Law of Large Numbers and
the Law of the Iterated Logarithm for
Martingales and Sums of Independent
Random Variables . . . . . . . . . . . . 653--666
M. S. Ermakov Minimax Detection of a Signal in
Gaussian White Noise . . . . . . . . . . 667--679
V. L. Girko Limit Theorems for Maximal and Minimal
Eigenvalues of Random Matrices . . . . . 680--695
A. V. Pavlov Asymptotically Optimal Queue Disciplines
in Heavy Traffic . . . . . . . . . . . . 696--706
Yu. A. Rozanov Some Boundary Value Problems for
Generalized Random Fields . . . . . . . 707--724
N. V. Smorodina The Gauss-Ostrogradsky Formula for the
Space of Configurations . . . . . . . . 725--736
M.-C. Viand Random Iterations and Kalman Filtering 737--745
S. V. Vinnichenko and
V. V. Mazalov Optimal Stopping of Observations in
Control Problems for Random Walks . . . 746--753
Yurii Vasil'evich Prokhorov Sixtieth Birthday Congratulations . . . 754--754
Yu. V. Prokhorov Limit Theorems for Sums of Random
Vectors, Whose Dimension Tends to
Infinity . . . . . . . . . . . . . . . . 755--757
N. N. Amosova A Note on the Local Limit Theorem for
Large Deviations . . . . . . . . . . . . 758--760
E. A. Asarin On the Equivalence of Being Typical and
Chaotic for Finite Objects . . . . . . . 760--761
K. A. Borovkov A Functional Form of the Erd\Hos--Renyi
Law of Large Numbers . . . . . . . . . . 762--766
E. A. Gorin and
S. Yu. Favorov Generalizations of Khinchin's Inequality 766--771
T. Inglot and
T. Jurlewicz and
T. Ledwina Asymptotics for Multinomial Goodness of
Fit Tests for a Simple Hypothesis . . . 771--777
S. N. Joshi and
A. L. Rukhini Asymptotic Estimation of Variance . . . 777--784
A. P. Korostelëv On Estimation Accuracy for Nonsmooth
Functionals of Regression . . . . . . . 784--787
A. I. Koryakin and
N. N. Chentsov On Estimating a Function Given at Random
Nodes by the Method of Least Squares . . 788--792
A. V. Makarichev Reliability of a Large Complex of
Single-Type Renewable Redundant Systems 792--797
Yu. V. Malinkovski\u\i A Criterion for Pointwise Independence
of States of Units in an Open Stationary
Markov Queueing Network with One Class
of Customers . . . . . . . . . . . . . . 797--802
V. I. Paulauskas A Note on Gaussian Measure of Balls in
Banach Spaces . . . . . . . . . . . . . 802--805
M. G. Shur Absolutely Continuously and Singularly
Generated Harmonic Functions for Random
Walks on Groups . . . . . . . . . . . . 805--810
Hermann Thorisson The Classical Coupling, a Refinement . . 810--819
A. A. Yushkevich Sensitive Criteria in the
Continuous-Time Two-Armed Bandit Problem 819--824
Anonymous Reviews and Bibliography . . . . . . . . 825--826
Anonymous News of Scientific Life . . . . . . . . 827--829
A. A. Borovkov Lyapunov Functions and Ergodicity of
Multidimensional Markov Chains . . . . . 1--18
S. A. Grishechkin Crump-Mode-Jagers Branching Processes as
a Method of Investigating $ M / G / 1 $
Systems with Processor Sharing . . . . . 19--35
S. M. Pergamenshchikov Asymptotic Properties of Sequential
Design for Estimating the Parameter of a
First-Order Autoregression . . . . . . . 36--49
V. I. Piterbarg On Large Jumps of a Random Walk . . . . 50--62
A. V. Skorokhod $ \sigma $-Algebras of Events on
Probability Spaces. Similarity and
Factorization . . . . . . . . . . . . . 63--73
I. M. Sonin An Arbitrary Nonhomogeneous Markov Chain
with Bounded Number of States May Be
Decomposed into Asymptotically
Noncommunicating Components Having the
Mixing Property . . . . . . . . . . . . 74--85
V. A. Vatutin and
S. M. Sagitov A Critical Branching Process: The
Distant Past Under Favorable Present . . 86--98
V. V. Yurinski\u\i On Large Deviation Asymptotics in
Hilbert Space I . . . . . . . . . . . . 99--114
A. A. Zinger and
A. M. Kagan A Least Squares Estimate, Nonquadratic
Losses, and Gaussian Distributions . . . 115--123
V. M. Zolotarev Reflections on the Classical Theory of
Limit Theorems . . . . . . . . . . . . . 124--137
\`E. B. Bagirov New Consequences of Kolmogorv's Formula
for Infinitely Divisible Laws . . . . . 138--143
A. N. Chuprunov Spaces of Sequences in a Banach Space
Associated with a Sequence of
Independent Random Variables . . . . . . 143--149
G. I. Falin A Diffusion Approximation for Retrial
Queueing Systems . . . . . . . . . . . . 149--152
G. K. Golubev LAN in Problems of Nonparametric
Estimation of Functions and Lower Bounds
for Quadratic Risks . . . . . . . . . . 152--157
A. P. Korostelëv Minimax Two-Dimensional Image
Reconstruction . . . . . . . . . . . . . 158--165
V. I. Lotov On Random Walks in a Strip . . . . . . . 165--170
V. K. Malinovski\u\i Large Deviations for Recurrent Markov
Renewal Processes . . . . . . . . . . . 170--173
V. G. Mikha\u\ilov On a theorem of Janson . . . . . . . . . 173--176
V. I. Pagurova and
S. A. Nesterova On the Weak Convergence of Counting
Processes with Nuisance Parameters . . . 176--185
A. V. Pavlov Asymptotically Optimal Queueing
Disciplines for Some Multichannel
Networks . . . . . . . . . . . . . . . . 185--190
G. A. Sharshanova-Khodareva Notes on Infinite Divisibility of
Meromorphic Characteristic Functions
with One Pole . . . . . . . . . . . . . 190--193
M. G. Shur On the Compactness of a Family of
Functions That are Harmonic for a Random
Walk on a Group . . . . . . . . . . . . 193--197
A. J. Zalys and
A. A. Tempel'man Spatially Stationary Generalized
Gaussian Fields with Local Interaction 197--200
Anonymous News of Scientific Life . . . . . . . . 201--206
Anonymous New Books . . . . . . . . . . . . . . . 207--208
V. G. Alekseev Some Problems of Statistical Estimation
of the Regression Curve . . . . . . . . 209--216
A. V. Bulinski\u\i and
S. A. Molchanov Asymptotical Normality of a Solution of
Burgers' Equation with Random Initial
Data . . . . . . . . . . . . . . . . . . 217--236
G. P. Butsan Mixed Product of Dependent Operator
Stochastic Systems in the Absence of
Continuity and Martingale Conditions . . 237--248
V. F. Gaposhkin Moment Bounds for Integrals of $ \rho
$-Mixing Fields . . . . . . . . . . . . 249--260
V. L. Girko Systems of Linear Algebraic Equations
with Random Coefficients . . . . . . . . 261--271
A. G. Grin\cprime Norming Sequences in the Limit Theorems
for Weakly Dependent Variables . . . . . 272--288
L. V. Kir\cprimeyanova and
V. I. Rotar\cprime Estimates for the Rate of Convergence in
the Central Limit Theorem for
Martingales . . . . . . . . . . . . . . 289--302
V. I. Kolchinski\u\i Entropic Order of Operators in Banach
Spaces and the Central Limit Theorem . . 303--315
Z. Y. Lin On the Increments of Partial Sums of a $
\varphi $-Mixing Sequence . . . . . . . 316--328
V. G. Vovk Asymptotic Efficiency of Estimators:
Algorithmic Approach . . . . . . . . . . 329--343
E. L. Aleksandrov On the Completeness of Powers of a
Random Variable in Hilbert Space $ L^2
(\Omega, \mathcal {F}, P) $ . . . . . . 344--349
Z. D. Bai and
X. R. Chen and
P. R. Krishnaiah and
Y. H. Wu and
L. C. Zhao Strong Consistency of Maximum Likelihood
Parameter Estimation of Superimposed
Exponential Signals In Noise . . . . . . 349--355
K. A. Borovkov On a New Variant of the Monte Carlo
Method . . . . . . . . . . . . . . . . . 355--360
V. V. Buldygin and
S. A. Solntsev On Convergence of Sums of
Operator-Normed Independent Random
Vectors . . . . . . . . . . . . . . . . 360--365
M. Finkelstein and
H. G. Tucker and
J. A. Veeh Convergence of Random Sums With
Nonrandom Centering . . . . . . . . . . 366--371
B. M. Gurevich On Joint Distribution of Random
Variables With Given Cross Conditional
Distributions: Discrete Case . . . . . . 371--375
H. Herrmann Continuation of Convergence In the
Central Limit Theorem for Dependent
Summands . . . . . . . . . . . . . . . . 375--378
V. M. Kruglov Convergence of the Distributions of
Random Sums To The Normal and Poisson
Laws . . . . . . . . . . . . . . . . . . 378--380
I. K. Matsak and
A. N. Plichko On the Support of a Measure In a Banach
Space and Finite Representability . . . 381--385
S. M. Pozin and
L. A. Sakhnovich Two-Sided Estimation of the Smallest
Eigenvalue of An Operator Characterizing
Stable Processes . . . . . . . . . . . . 385--388
Yu. V. Prokhorov An Estimate of the Total Variation of
Signed Measures Arising In Connection
With the Central Limit Theorem . . . . . 388--390
L. N. Pushkin Borel Normal Vectors on a Manifold In $
R^N $ . . . . . . . . . . . . . . . . . 391--395
I. L. Sapegin On Boundary Properties of Wiener Fields 395--401
V. V. Senatov Some Remarks on Estimating the Rate of
Convergence In the Central Limit Theorem
In the Hilbert Space . . . . . . . . . . 401--405
A. V. Skorokhod and
V. I. Stepakhno On Some Empirical Properties of a
Multidimensional Normal Law . . . . . . 405--411
T.-J. Wu and
M. T. Wasan Some Results on Sequential Unbiased
Estimation of A Binomial Parameter . . . 411--419
A. Yu. Zaitsev An Example of a Distribution Whose Set
of $N$-Fold Convolutions Is Uniformly
Separated From the Set Of Infinitely
Divisible Laws In Distance In Variation 419--425
V. K. Malinovskii Addendum: Limit Theorems for Harris
Markov Chains. I . . . . . . . . . . . . 426--426
Yu. V. Borovskikh $ U B $-Statistics . . . . . . . . . . . 427--444
A. N. Chuprunov On the Generalization of Spaces of
Stable and Rademacher Type $P$ . . . . . 445--458
N. G. Dokuchaev Boundary Value Problems for Functionals
of ItÔ Processes . . . . . . . . . . . . 459--476
S. A. Grishechkin On the Use of Branching Processes for
Finding Steady-State Distributions In
Queueing Theory . . . . . . . . . . . . 477--493
L. I. Saulis Probabilities of Large Deviations for
Random Vectors . . . . . . . . . . . . . 494--507
M. S. Sgibnev Asymptotic Behavior of Higher Renewal
Epochs . . . . . . . . . . . . . . . . . 508--518
D. S. S\=\il\cprimevestrov Invariance Principle for Cumulative
Processes With Semi-Markov Switch-Overs
In Triangular Array . . . . . . . . . . 519--535
N. V. Verdenskaya and
A. G. Tartakovski\u\i Asymptotically Optimal Sequential
Testing of Multiple Hypotheses for
Nonhomogeneous Gaussian Processes In
Asymmetric Case . . . . . . . . . . . . 536--547
V. V. Yurinski\u\i On Large Deviation Asymptotics In
Hilbert Spaces II . . . . . . . . . . . 548--554
Regina I. Ivanovskaya Congratulations . . . . . . . . . . . . 555--555
D. Alimov Semicontinuous Processes With
Independent Increments With a Boundary
and a ``Homographic'' Time Change . . . 557--564
M. A. Antonets and
I. A. Shereshevski\u\i On a Model of Tree Growth . . . . . . . 565--570
B. V. Bondarev Estimation of Nonlinearity Parameter In
Initial-Boundary Value Problems With
Gaussian Perturbations . . . . . . . . . 570--578
A. A. Butov Some Estimates for a One-Dimensional
Birth and Death Process In a Random
Environment . . . . . . . . . . . . . . 578--583
L. V. Denisov Convolution Semigroups In Noncommutative
Probability Theory . . . . . . . . . . . 583--588
M. Freimer and
G. S. Mudholkar An Analogue of the
Chernoff--Borokov--Utev Inequality and
Related Characterization . . . . . . . . 589--592
E. I. Gaivoronskii and
E. I. Ostrovskii A Nonasymptotic Bound for Deviation of A
Multidimensional Empirical Distribution
Function . . . . . . . . . . . . . . . . 592--594
N. G. Gamkrelidze An Inequality for Multidimensional
Characteristic Function . . . . . . . . 594--596
V. S. Korolyuk and
Yu. V. Borovskikh Weak Convergence of Distributions of $ U
H $-Statistics To Stable Laws . . . . . 596--600
I. S. Molchanov A Consistent Estimate of Parameters of
Boolean Models of Random Closed Sets . . 600--607
V. A. Plaksin A Statistical Property of the Sieve Of
Eratosthenes . . . . . . . . . . . . . . 608--614
A. Pluci\'nska Some Limit Properties of Processes With
the Linear Regression . . . . . . . . . 615--619
M. L. Puri and
V. V. Sazonov On Hilbert-Space-Valued $U$-Statistics 619--621
V. N. Radchenko Integrals With Respect To Random
Measures and Random Linear Functionals 621--623
B. A. Rogozin Ladder Subordinators for Processes With
Independent Increments . . . . . . . . . 623--629
M. S. Tikhov On Reduction of Test Duration In the
Case Of Censoring . . . . . . . . . . . 629--633
O. V. Viskov Some Remarks on Hermite Polynomials . . 633--637
W. Zi\keba On Some Properties of Conditional Amarts 637--639
Anonymous News of Scientific Life . . . . . . . . 640--645
J. Beirlant and
P. Deheuvels and
J. H. J. Einmahl and
D. M. Mason Bahadur-Kiefer Theorems for Uniform
Spacings Processes . . . . . . . . . . . 647--669
G. M. Fel'dman Cauchy Distribution on Abelian Groups
and Its Characterization . . . . . . . . 670--681
O. V. Lepski\u\i Asymptotically minimax adaptive
estimation. I. Upper bounds. Optimally
adaptive estimates . . . . . . . . . . . 682--697
A. B. Mukhin Local Limit Theorems for Lattice Random
Variables . . . . . . . . . . . . . . . 698--713
S. Yu. Novak On the Distribution of the Maximum of a
Random Number of Random Variables . . . 714--721
R. G. Safaryan On a Certain Class of Random Processes
and Related Systems of Differential
Equations with a Small Parameter . . . . 722--737
A. N. Tikhomirov On the Accuracy of Normal Approximation
of the Probability of Hitting a Ball of
Sums of Weakly Dependent Hilbert Space
Valued Random Variables I . . . . . . . 738--751
A. Touati Sur la convergence en loi fonctionnelle
de suites de semimartingales vers un
mélange de mouvements browniens. (French)
[On the convergence in a functional law
of semimartingale sets towards a mixture
of Brownian movement] . . . . . . . . . 752--771
A. Yu. Veretennikov On Large Deviations for Systems of Itô
Stochastic Equations . . . . . . . . . . 772--782
T. M. Zuparov On the Rate of Convergence in the
Central Limit Theorem for Weakly
Dependent Random Variables . . . . . . . 783--792
G. K. Golubev Quasi-Linear Filtering of Stationary
Gaussian Sequences . . . . . . . . . . . 793--800
V. M. Zolotarev Asymptotic Expansions with Probability
One for Sums of Independent Random
Variables . . . . . . . . . . . . . . . 800--802
Anonymous The Suzdal International Seminar of 1991
on Stability Problems for Stochastic
Models . . . . . . . . . . . . . . . . . 803--858
N. G. Gamkrelidze Addendum: On the Connection between the
Local and Integral Theorems for Lattice
Distributions . . . . . . . . . . . . . 859--859
V. V. Sazonov Addendum: On Hilbert-Space-Valued
$U$-Statistics . . . . . . . . . . . . . 859--859
Anonymous 2nd World Congress of the Bernoulli
Society . . . . . . . . . . . . . . . . 1--2
J. M. P. Albin Upper and Lower Classes for Gaussian
Random Fields and the General LIL . . . 3--6
A. A. Borovkov and
A. A. Mogul\cprimeski\u\i Large Deviations and Statistical
Invariance Principle . . . . . . . . . . 7--13
S. D. Durkh\`em and
N. Flourno\u\i Convergence Results for an Adaptive
Ordinal Urn Design . . . . . . . . . . . 14--17
R. D. Gill Multivariate survival analysis. I . . . 18--31
G. Gómez Estimation of Induction Distributions
with Doubly Censored Data and
Application to AIDS . . . . . . . . . . 32--39
P. Greenwood and
I. Evstigneev A Markov Evolving Random Field and
Splitting Random Elements . . . . . . . 40--42
A. A. Gushchin A Regular Filtered Statistical Model and
Families of Martingales . . . . . . . . 43--46
D. Haughton Consistency of a Class of Information
Criteria for Model Selection in
Nonlinear Regression . . . . . . . . . . 47--53
G. Högnäs Sequences of Random Transformations . . 54--60
B. G. Ivanova and
E. Mertsbakh Set-Indexed Stochastic Processes and
Predictability . . . . . . . . . . . . . 61--66
O. Kallenberg From Optional Skipping to Random Time
Change --- on Some Recent Advances in
Exchangeability Theory . . . . . . . . . 67--75
Huiling Le The Global Geodesic Geometry of Shape
Spaces and an Application to
Collinearity Testing . . . . . . . . . . 76--79
A. I. Martika\u\inen and
V. V. Petrov On Strong Limit Theorems for Sums of
Independent Random Variables . . . . . . 80--84
M. L. Menéndez and
J. A. Pardo Unified $ (r, s) $-Entropy Measures in a
Bayesian Context . . . . . . . . . . . . 85--88
A. E. Shemyakin On Information Inequalities in the
Parametric Estimation . . . . . . . . . 89--91
A. Shen\cprime Algorithmic Complexity and Randomness:
Recent Developments . . . . . . . . . . 92--97
A. D. Solov\cprimeev and
D. G. Kostantinidis Reliability Estimation of a Complex
Renewable System with an Unbounded
Number of Repair Units . . . . . . . . . 98--100
J. Sztrik Asymptotic Analysis of the Reliability
of a Complex Renewable Standby System
with Fast Repair . . . . . . . . . . . . 101--104
H. Thorisson From Coupling to Shift-Coupling . . . . 105--112
V. V. Yurinski\u\i On Exponential Bounds for Probabilities
of Large Deviations . . . . . . . . . . 113--114
N. R. Arghami and
L. Billard Some Sequential Analogues of Stein's
Two-Sample Test . . . . . . . . . . . . 115--117
T. A. Azlarov and
A. A. Narkhuzhaev On Asymptotic Behavior of Distributions
of Some Statistics for Markov Chains . . 117--119
F. Ball and
P. Donnelly Branching Process Approximation of
Epidemic Models . . . . . . . . . . . . 119--121
T. C. Brown and
D. L. Pallant Time Series Models for Infinitely
Divisible Processes . . . . . . . . . . 122--124
R. Chou and
F. Hu On the $Z$-Representation of a Statistic 124--126
K. L. Chow $A$-Optimal Designs for Supplementary
Experiments . . . . . . . . . . . . . . 126--129
J. A. Cuesta and
J. S. Dominguez and
C. Matrán On the Consistency of the $ L_p
$-Isotonic Regression . . . . . . . . . 129--132
H. Dinges Wiener Germs . . . . . . . . . . . . . . 132--136
K. A. Doksum and
A. Kho\u\iland Models for Variable-Stress Accelerated
Life Testing Experiments Based on Wiener
Processes and the Inverse Gaussian
Distribution . . . . . . . . . . . . . . 137--139
P. E. Greenwood and
W. Wefelmeyer Partially Specified Filtered Models and
Efficiency . . . . . . . . . . . . . . . 139--142
P. Ibarrola and
R. Vélez Hypothesis Testing for Multidimensional
Gaussian Process . . . . . . . . . . . . 142--145
W. C. M. Kallenberg Interpretation and Manipulation of
Edgeworth Expansions . . . . . . . . . . 145--147
Sh. A. Khashimov Limiting Behavior of Generalized
$U$-Statistics of Weakly Dependent
Stationary Processes . . . . . . . . . . 148--150
L. Markus Likelihood Ratio of Gaussian, Globally
Markovian Random Fields . . . . . . . . 150--153
I. J. McKendrick An Exploratory Technique to Detect
Departures From Complete Spatial
Randomness . . . . . . . . . . . . . . . 153--155
D. Morales and
I. J. Taneja and
L. Pardo Hypoentropy as an Index of Diversity . . 155--158
T. F. Móri Random Walks on de Bruijn Graphs . . . . 158--160
T. Norberg An Ordered Random Set Coupling . . . . . 161--163
W. Polasek and
K. Pötzelberger Robust Bayesian Methods in Simple ANOVA
Models. . . . . . . . . . . . . . . . . 163--166
R. Roy Percolation of Poisson Sticks on the
Plane . . . . . . . . . . . . . . . . . 167--168
S. Sawyer Inferring Population Structure From DNA
Sequences . . . . . . . . . . . . . . . 168--169
M. Schweizer Semimartingales and Hedging in
Incomplete Markets . . . . . . . . . . . 169--171
J. C. D'Souza and
J. D. Biggins The Supercritical Varying-Environment
Galton--Watson Process . . . . . . . . . 171--172
T. J. Terpstra Construction of Asymptotically Optimal
and Independent Nonparametric
Experimental Design Tests in the Cox
Regression Model . . . . . . . . . . . . 173--175
Vinsent de Val\cprimek One-Dependent Processes and Their
Hilbert Space Representations . . . . . 176--179
P. Volf Estimation of Additive Regression Model
with Proportional Intensity . . . . . . 179--181
D. Walshaw An Application in Extreme Value Theory
of Nonregular Maximum Likelihood
Estimation . . . . . . . . . . . . . . . 182--184
E. Ve\u\it\cydots A Stochastic Heat Equation for
Stationary Freeway Traffic Flow . . . . 185--188
S. R. Wilson and
P. J. Solomon Use of the Back-Projection Method for
Predictions of the Australian Aids
Epidemic . . . . . . . . . . . . . . . . 188--191
A. Zempléni Testing Max-Infinite Divisibility . . . 191--193
Anonymous News of Scientific Life . . . . . . . . 194--205
Anonymous New Books . . . . . . . . . . . . . . . 206--207
I. A. Ignatyuk and
V. A. Malyshev and
V. Sidoravichius Convergence of the stochastic
quantization method. I . . . . . . . . . 209--221
S. T. Rachev and
L. Rüschendorf Rate of Convergence for Sums and Maxima
and Doubly Ideal Metrics . . . . . . . . 222--235
R. Rudzkis On the Distribution of Supremum-Type
Functionals of Nonparametric Estimates
of Probability and Spectral Densities 236--249
A. K. Md. E. Saleh On Shrinkage Estimation of the
Parameters of an Autoregressive Gaussian
Process . . . . . . . . . . . . . . . . 250--260
V. V. Yurinski\u\i On Asymptotics of Large Deviations in
Hilbert Space III . . . . . . . . . . . 261--268
J. D. Biggins Martingale Convergence and Large
Deviations in the Branching Random Walk 269--273
D. Findley Comparing Nonnested, Misspecified Models 274--283
R. D. Gill Multivariate survival analysis. II.
Methods . . . . . . . . . . . . . . . . 284--301
R. Norva\u\isha The Central Limit Theorem for Empirical
and Quantile Processes in $ {\bf L}_P $
Spaces, $ 1 \leqq {\bf P} < \infty $ . . 302--313
C. W. Anderson and
K. F. Turkman Limiting Joint Distributions of Sums and
Maxima in a Statistical Context . . . . 314--316
A. J. G. Cairns Epidemic Estimation with Removal Time
Data . . . . . . . . . . . . . . . . . . 317--319
R. Cowan Expected Pattern Frequency in Markov
Chain Realizations Conditional Upon
Transition Counts: Application of
Whittle's Combinatoric Formula to
Problems in DNA Sequences . . . . . . . 320--322
C. Derquenne Outlier Detection Before Running
Statistical Methods . . . . . . . . . . 323--326
K. A. Doksum Measures of Dependence in Semiparametric
Heteroscedastic Regression Models . . . 326--328
J. Elton and
T. P. Hill Fusions of a Probability Distribution:
Preliminary Announcement . . . . . . . . 328--331
J. Fellman and
K. Nordström Robust Estimation in Linear Models with
Nuisance Parameters . . . . . . . . . . 332--333
M. I. Fraga Alves The Influence of Central Observations on
Discrimination Among Multivariate
Extremal Models . . . . . . . . . . . . 334--337
B. Girotto and
S. Holzer Weak Convergence of Masses on Normal
Topological Spaces . . . . . . . . . . . 337--340
R. Gutiérrez and
M. J. Valderrama An Improved Procedure for Evaluating the
Statistical Characteristics of a Doubly
Stochastic Poisson Process . . . . . . . 340--342
W. Kahle Improved Parametric Confidence
Estimation --- the Calculation of
Bartlett Adjustment for the
Two-Parameter Exponential Family. . . . 343--345
D. Myers Cross-Validation and Variogram
Estimation . . . . . . . . . . . . . . . 345--347
G. Obreja and
I. Chitescu and
F. C. Gheorghe On the Distribution of the Decisive
Sample Number of the Invariant $ T^2
$-Sequential Test . . . . . . . . . . . 348--350
M. F. Oliveira Limiting Distribution of Sums of Certain
Types of Nonstationary Sequences . . . . 350--353
S. Penev Stability of Nonparametric Procedures
Against Dependence . . . . . . . . . . . 353--355
K. Pëttsel\cprimeberger Updating of Moments . . . . . . . . . . 355--357
F. Ruggeri Bounds on the Prior Probability of a Set
and Robust Bayesian Analysis . . . . . . 358--359
Rainer Schwabe Recursive Estimation and Difference
Equations . . . . . . . . . . . . . . . 359--362
D. Thorburn Confidence Intervals Using a Modified
Bootstrap . . . . . . . . . . . . . . . 363--365
\Dbarinh Quang Lu'u On Further Classes of Martingale-Like
Sequences . . . . . . . . . . . . . . . 366--371
V. Harison and
S. N. Smirnov Jonction maximale. (French) [Maximal
Junction] . . . . . . . . . . . . . . . 372--376
V. A. Ivnitski\u\i The Invariance of the Steady State
Distribution of a Multichannel Queueing
System Serving a Finite Number of
Different Sources of Customers Under the
Absolute Priority of an Arriving
Customer . . . . . . . . . . . . . . . . 376--379
Yu. M. Kabanov On the Probabilistic Representation of a
Solution of the Telegraph Equation . . . 379--380
V. K. Malinovski\u\i Asymptotic Expansions in the Problem of
Sequential Estimation of an
Autoregressive Parameter . . . . . . . . 381--383
\`E. A. Nadaraya On Limit Distribution for Quadratic
Deviation of Generalized Kernel
Estimates of a Density . . . . . . . . . 383--392
B. L. S. Prakasa Rao On Some Inequalities of Chernoff-Type 392--398
V. I. Rotar\cprime and
A. G. Sholomitski\u\i A Condition for Convergence of
Convolutions . . . . . . . . . . . . . . 398--401
O. G. Smolyanov and
E. T. Shavgulidze A Simple Proof of Tarieladze's Theorem
on Sufficiency of Positively Sufficient
Topologies . . . . . . . . . . . . . . . 402--404
A. A. Bryandinskaya and
M. V. Khatunseva Erratum . . . . . . . . . . . . . . . . 404--404
A. A. Basalikas On the Closeness of Distributions of
Multilinear Forms . . . . . . . . . . . 405--414
\Dbar\brevudotang H\`ung Th\brevacang Vector Symmetric Random Measures and
Random Integrals . . . . . . . . . . . . 415--423
V. M. Kruglov Criteria for Concentration Functions to
Belong to the Domains of Attraction of
Stable Laws . . . . . . . . . . . . . . 424--432
O. V. Lepski\u\i Asymptotically Minimax Adaptive
Estimation. II. Schemes Without Optimal
Adaptation: Adaptive Estimators . . . . 433--448
S. M. Pergamenshchikov and
A. N. Shiryaev Sequential Estimation of the Parameter
of a Stochastic Difference Equation with
Random Coefficients . . . . . . . . . . 449--470
B. T. Polyak and
A. B. Tsybakov A Family of Asymptotically Optimal
Methods for Choosing the Order of a
Projective Regression Estimate . . . . . 471--481
I. Rakhimov General Branching Processes with
Reproduction Dependent Immigration . . . 482--496
R. Vasudeva and
G. Divanji The Law of the Iterated Logarithm for
Delayed Sums Under a Nonidentically
Distributed Setup . . . . . . . . . . . 497--506
V. P. Borovikov On estimation of functionals of a
density . . . . . . . . . . . . . . . . 507--514
D. Byambazhav and
A. A. Mogul\cprimeski\u\i A Limit Theorem for the Minimum and
Minimum Point of a ``Distorted''
Function . . . . . . . . . . . . . . . . 514--520
G. K. Golubev and
M. Nussbaum Adaptive Spline Estimates for
Nonparametric Regression Models . . . . 521--529
S. Jankovic Preservation of Type Under Mixing . . . 529--535
V. Yu. Korolev On Limit Distributions of Randomly
Indexed Random Sequences . . . . . . . . 535--542
A. P. Korostelëv and
S. L. Leonov An action functional for a diffusion
process with discontinuous drift . . . . 543--550
S. M. Kozlov and
J. B. Pitman and
M. \uIor Wiener Football . . . . . . . . . . . . 550--553
A. V. Lëtchikov A Criterion for Applicability of the
Central Limit Theorem to One-Dimensional
Random Walks in Random Environments . . 553--557
J. Pusz Characterization of Exponential
Distributions by Conditional Moments . . 557--560
F. G. Ragimov Asymptotic Expansion for the
Distribution of Nonlinear Boundary
Crossing Time . . . . . . . . . . . . . 560--564
N. P. Salikhov On Strengthening Chernoff's Inequality 564--567
M. A. Shashiashvili On a Semimartingale Inequality for Snell
Envelopes . . . . . . . . . . . . . . . 568--569
A. V. Stepanov Limit Theorems for Weak Records . . . . 570--574
E. I. Trofimov On a Martingale Characterization of
Measures and on General Functional Limit
Theorems . . . . . . . . . . . . . . . . 574--576
R. Zieli\'nski A Moment Preserving Probability Metric 576--579
T. Cacoullos and
V. Papathanasiou and
S. Utev Another Characterization of the Normal
Law and a Proof of the Central Limit
Theorem Connected with it . . . . . . . 581--588
I. A. Ibragimov and
R. Z. Khas\cprimeminski\u\i Estimating a Parameter under LAN
Conditions with Restrictions . . . . . . 589--598
I. A. Ignatyuk and
V. A. Malyshev and
V. Sidoravicius Convergence of a Method of the
Stochastic Quantization II . . . . . . . 599--620
G. M. Fel\cprimedman On the Skitovich---Darmois Theorem on
Abelian Groups . . . . . . . . . . . . . 621--631
N. R. Mohan and
S. Ravi Max Domains of Attraction of Univariate
and Multivariate $p$-Max Stable Laws . . 632--643
M. S. Tikhov Asymptotics of $T$-Estimators . . . . . 644--657
I. K. Urinov Tests of Homogeneity Under Small
Grouping. Martingale Limit Theorems . . 658--672
A. N. Shiryaev In Celebration of the 80th Birthday of
Boris Vladimirovitch Gnedenko (An
Interview) . . . . . . . . . . . . . . . 674--691
Yu. V. Prokhorov On Polynomials in Normally Distributed
Random Values . . . . . . . . . . . . . 692--695
E. V. Sedunov and
A. V. Lipin Randomization of Conditions in a
Regression Experiment for Functional
Measurement Models . . . . . . . . . . . 695--702
V. V. Senatov On Estimates of the Rate of Convergence
in the Central Limit Theorem in
Multidimensional Spaces . . . . . . . . 703--706
Anonymous XVI Seminar on Stability Problems of
Stochastic Models . . . . . . . . . . . 707--760
S. Albeverio and
Yu. A. Rozanov On Stochastic Evolution Equations with
Stochastic Boundary Conditions . . . . . 1--13
I. A. Dzhwarsheishvili On Maximal Functions for Harmonic
Functions with Respect to Brownian
Motion . . . . . . . . . . . . . . . . . 14--26
T. L. Malevich and
L. N. Volodina Some Finiteness Conditions for Factorial
Moments of the Number of Zeros of
Gaussian Field Zeros . . . . . . . . . . 27--45
A. V. Nagaev Large Deviation Theorems for the First
Time of Crossing an Increasing Level in
a Transient Random Walk . . . . . . . . 46--52
L. V. Rozovski\u\i Probabilities of Large Deviations on the
Whole Axis . . . . . . . . . . . . . . . 53--79
A. N. Tikhomirov On the Accuracy of Normal Approximation
of the Probability of Hitting a Ball of
Sums of Weakly Dependent Hilbert Space
Valued Random Variables II . . . . . . . 80--94
A. Touati Two Theorems on Convergence in
Distribution for Stochastic Integrals
and Statistical Applications . . . . . . 95--117
I. N. Volodin and
An. A. Novikov Statistical Estimators with
Asymptotically Minimum $d$-Risk . . . . 118--128
M. B. Boldin On the Distribution of Run Statistics in
a Linear Regression Scheme . . . . . . . 129--136
V. V. Bratishchenko An Autoregressive-Moving-Average Process
with Integer Coefficients on a Circle 136--142
N. V. Gribkova On Analogues of Berry--Esseen Inequality
for Truncated Linear Combinations of
Order Statistics . . . . . . . . . . . . 142--149
D. A. Korshunov Transient Phenomena for Real-Valued
Markov Chains . . . . . . . . . . . . . 149--152
O. V. Lepski\u\i Estimation of the Maximum of a
Nonparametric Signal to Within a
Constant . . . . . . . . . . . . . . . . 152--158
A. D. Lisitskii One Property of $M$-Divisibility of
Strictly Stable Vectors . . . . . . . . 158--161
Yu. V. Prokhorov On Polynomials in Random Variables with
Gamma-Distribution . . . . . . . . . . . 162--166
N. N. Vakhania Elementary Proof of Polya's
Characterization Theorem and of the
Necessity of Second Moment in the CLT 166--168
O. P. Vinogradov Random Walk with Correction and Tandem
System with Identical Service Times . . 169--173
Anonymous News of Scientific Life . . . . . . . . 174--174
A. G. Grin' Addendum: Norming Sequences in the Limit
Theorems for Weakly Dependent Variables 175--175
A. N. Kolmogorov Problems of Probability Theory . . . . . 177--178
Ole E. Barndorff-Nielsen Adjusted Likelihood Inference About
Interest Parameters . . . . . . . . . . 179--193
P. J. Bickel and
Y. Ritov Efficient Estimation Using Both Direct
and Indirect Observations . . . . . . . 194--213
A. A. Borovkov and
S. A. Utev Estimates for Distributions of Sums
Stopped at Markov Time . . . . . . . . . 214--225
L. E. Dubins and
L. A. Shepp and
A. N. Shiryaev Optimal Stopping Rules and Maximal
Inequalities for Bessel Processes . . . 226--261
P. Embrechts and
C. Klüppelberg Some Aspects of Insurance Mathematics 262--295
L. B. Koralov and
S. K. Nechaev and
Ya. G. Sina\u\i Asymptotic Behavior of a Two-Dimensional
Random Walk with Topological Constraints 296--306
M. M. Rao and
V. V. Sazonov A Projective Limit Theorem for
Probability Spaces and Applications . . 307--315
Yu. A. Rozanov On Evolution of Random Fields with an
Ultra Unbounded Stochastic Source . . . 316--329
V. A. Vatutin The Distribution of the Distance to the
Root of the Minimal Subtree Containing
All the Vertices of a Given Height . . . 330--341
A. V. Bulinski\u\i Inequalities for the Moments of Sums of
Associated Multi-Indexed Variables . . . 342--349
J. Hoffmann-Jòrgensen Stable Densities . . . . . . . . . . . . 350--355
I. A. Ibragimov On a Characteristic of the Accuracy of
Estimating a Distribution Density . . . 355--360
G. Peskir Measure Compact Sets of Functions and
Consistency of Statistical Models . . . 360--367
P. Révész Covering Problems . . . . . . . . . . . 367--379
B. A. Sevast\cprimeyanov Distribution of the Height of a Random
Tree with Labeled Edges . . . . . . . . 379--382
Ya. G. Sina\u\i A Random Walk with Random Potential . . 382--385
V. Statulevicius and
A. Aleskeviciene On Large Deviations in the Poisson
Approximation . . . . . . . . . . . . . 385--393
L. I. Galtchouk Semimartingales of Processes with
Independent Increments and Enlargement
of Filtration . . . . . . . . . . . . . 395--404
M. Harel and
M. L. Puri Weak Convergence of the Simple Linear
Rank Statistic under Mixing Conditions
in the Nonstationary Case . . . . . . . 405--422
A. Jakubowski and
J. Mémin Functional Central Limit Theorems for a
Class of Quadratic Forms in Independent
Random Variables . . . . . . . . . . . . 423--432
A. V. Karpenko and
S. V. Nagaev Limit Theorems for the Total Number of
Descendants for the Galton--Watson
Branching Process . . . . . . . . . . . 433--455
Sh. A. Khashimov The Central Limit Theorem for
Generalized $U$-Statistics for Weakly
Dependent Vectors . . . . . . . . . . . 456--469
A. A. Lebedev and
V. A. Lebedev Generalization of the Expectation for a
Unified Description of Random and
Indefinite Factors . . . . . . . . . . . 470--478
V. G. Mikha\u\ilov On a Refinement of the Central Limit
Theorem for Sums of Independent Random
Indicators . . . . . . . . . . . . . . . 479--489
A. A. Pukhal\cprimeski\u\i On the Theory of Large Deviations . . . 490--497
N. N. Vakhania Canonical Factorization of Gaussian
Covariance Operators and Some of Its
Applications . . . . . . . . . . . . . . 498--505
N. S. Bakhvalov and
A. A. Borovkov and
R. L. Dobrushin and
A. V. Zabrodin and
V. M. Zolotarev and
I. A. Ibragimov and
Yu. V. Prokhorov and
B. A. Sevast\cprimeyanov and
Ya. G. Sina\u\i and
A. V. Skorokhod and
V. A. Statulyavichus and
R. Z. Khas\cprimeminski\u\i and
A. S. Kholevo and
D. M. Chibisov and
A. N. Shiryaev Memorial: Nikolai Nikolaevitch Chentsov 506--515
A. V. Balakrishnan An Infinite-Dimensional Gaussian Markov
Process with Nonnuclear Steady State
Covariance . . . . . . . . . . . . . . . 516--520
R. Dasgupta Cauchy Equation on Discrete Domain and
Some Characterization Theorems . . . . . 520--524
Z. A. Ivkovi\'c A stochastic measure and nonlinear
approximation of some random fields . . 525--528
A. I. Kirillov Brownian Motion with Drift in a Hilbert
Space and Its Application in Integration
Theory . . . . . . . . . . . . . . . . . 529--533
A. Yu. Khrennikov The Wiener--Feynman Stochastic Process
on a Superspace . . . . . . . . . . . . 533--537
D. O. Kramkov On Comparison of Some Statistical Models
of ``Signal + Noise'' Type . . . . . . . 537--540
I. S. Molchanov Limit Theorems for Unions of Random Sets
under Multiplicative Normalization . . . 541--547
T. F. Móri and
V. K. Rohatgi and
G. J. Székely On Multivariate Skewness and Kurtosis 547--551
E. Pancheva Convergence of Types under Monotonous
Mappings . . . . . . . . . . . . . . . . 551--556
B. A. Rogozin Inequalities for Concentration of a
Decomposition . . . . . . . . . . . . . 556--562
M. van Lambalgen Axioms for Randomness . . . . . . . . . 562--566
V. A. Vatutin The Total Number of Particles in a
Reduced Bellman-Harris Branching Process 567--571
Anonymous News of Scientific Life . . . . . . . . 572--572
V. P. Belavkin Quantum diffusion, measurement and
filtering. I . . . . . . . . . . . . . . 573--585
L. Bertini and
E. Presutti and
B. Rüdiger and
E. Saada Dynamical Fluctuations at the Critical
Point: Convergence to a Nonlinear
Stochastic PDE . . . . . . . . . . . . . 586--629
G. K. Golubev Nonparametric Estimation of Smooth
Spectral Densities of Gaussian
Stationary Sequences . . . . . . . . . . 630--639
I. V. Grinevich Domains of Attraction of the
Max-Semistable Laws under Linear and
Power Normalizations . . . . . . . . . . 640--650
T. Inglot and
T. Ledwina Cramér-Type Large Deviations for Some
$U$-Statistics . . . . . . . . . . . . . 651--659
A. S. Kholevo On the Lévy--Khinchin Formula in
Noncommutative Probability Theory . . . 660--672
V. K. Malinovski\u\i Limit Theorems for Stopped Random
Sequences. I: Rates of Convergence and
Asymptotic Expansions . . . . . . . . . 673--693
S. A. Solntsev On Sample Continuity of Multidimensional
Gaussian Markov Processes . . . . . . . 694--705
A. Yu. Veretennikov On large deviations for additive
functionals of Markov processes. I . . . 706--719
Anonymous Errata . . . . . . . . . . . . . . . . . 720--720
Anonymous Boris Aleksandrovich Sevast'yanov . . . 721--721
V. G. Alekseev Symmetry Properties of Higher-Order
Spectral Densities for Multidimensional
Stationary and Periodically
Nonstationary Stochastic Processes . . . 722--726
E. Carlstein and
S. Lele Nonparametric Change-Point Estimation
for Data from an Ergodic Sequence . . . 726--733
A. N. Chuprunov The laws of large numbers in Banach
spaces of type $ (F, F_1) $ . . . . . . 733--737
A. P. Korostelëv An Asymptotically Minimax Regression
Estimator in the Uniform Norm up to
Exact Constant . . . . . . . . . . . . . 737--743
Yu. V. Larin On Concentration of Distributions of
Sums of Independent Random Vectors on
Bounded Sets . . . . . . . . . . . . . . 743--751
A. B. Piunovski\u\i Control of Random Sequences in Problems
with Constraints . . . . . . . . . . . . 751--762
A. V. Stepanov A Characterization Theorem for Weak
Records . . . . . . . . . . . . . . . . 762--764
Anonymous News of Scientific Life . . . . . . . . 765--767
A. N. Shiryaev On Some Basic Concepts and Some Basic
Stochastic Models Used in Finance . . . 1--13
A. N. Shiryaev and
Yu. M. Kabanov and
D. O. Kramkov and
A. V. Mel\cprimenikov Toward the Theory of Pricing of Options
of Both European and American Types. I.
Discrete time . . . . . . . . . . . . . 14--60
A. N. Shiryaev and
Yu. M. Kabanov and
D. O. Kramkov and
A. V. Mel\cprimenikov Toward the Theory of Pricing of Options
of Both European and American Types. II.
Continuous Time . . . . . . . . . . . . 61--102
L. A. Shepp and
A. N. Shiryaev A New Look at Pricing of the ``Russian
Option'' . . . . . . . . . . . . . . . . 103--119
S. T. Rachev and
L. Ruschendorf Models for Option Prices . . . . . . . . 120--152
D. O. Kramkov and
A. N. Shiryaev On the Rational Pricing of the ``Russian
Option'' for the Symmetrical Binomial
Model of a $ (B, S) $-Market . . . . . . 153--162
D. O. Kramkov and
E. Mordecki An integral option . . . . . . . . . . . 162--172
G. B. Di Masi and
Yu. M. Kabanov and
W. J. Runggaldier Mean-Variance Hedging of Options on
Stocks with Markov Volatilities . . . . 172--182
Yu. M. Kabanov and
D. O. Kramkov Large Financial Markets: Asymptotic
Arbitrage and Contiguity . . . . . . . . 182--187
M. V. Bondarenko and
A. N. Vishnyakov On the Russian Stock Exchange . . . . . 188--194
Anonymous News of Scientific Life: Actuarial and
Financial Center for Scientific
Investigation . . . . . . . . . . . . . 195--196
Sh. O. Alekperov and
V. M. Kruglov Convergence of Convolutions of
Concentration Functions to Degenerate,
Normal, and Poisson Laws . . . . . . . . 197--216
S. Cambanis and
I. Fakhre-Zakeri On Prediction of Heavy-Tailed
Autoregressive Sequences: Forward Versus
Reversed Time . . . . . . . . . . . . . 217--233
J. Galambos The Development of the Mathematical
Theory of Extremes in the Past Half
Century . . . . . . . . . . . . . . . . 234--248
W. Hazod On the Limit Behavior of Products of a
Random Number of Group Valued Random
Variables . . . . . . . . . . . . . . . 249--263
W. N. Hudson and
J. D. Mason and
J. A. Veeh Operator Stable Probability Measures: an
Overview . . . . . . . . . . . . . . . . 264--276
David G. Kendall How to Look at Objects in a
$5$-Dimensional Shape Space. I: Looking
at Distributions . . . . . . . . . . . . 277--281
V. Yu. Korolev Convergence of random sequences with
independent random indices. I . . . . . 282--297
H.-J. Rossberg Limit Theorems Involving Restricted
Convergence . . . . . . . . . . . . . . 298--314
G. P. Chistyakov The Exact-Order Estimates of
Decompositional Stability of Linnik's $
\mathfrak {L} $ Class Distributions . . 315--322
L. de Haan A Unified Criterion for the Domain of
Attraction of Extreme-Value
Distributions . . . . . . . . . . . . . 323--329
E. Pancheva On a Problem of a Khinchin-Type
Decomposition Theorem for Extreme Values 329--336
K. Sato Multimodal Convolutions of Unimodal
Infinitely Divisible Distributions . . . 336--347
M. Yamazato Absolute Continuity of Transition
Probabilities of Multidimensional
Processes with Stationary Independent
Increments . . . . . . . . . . . . . . . 347--354
V. M. Zolotarev On Representation of Densities of Stable
Laws by Special Functions . . . . . . . 354--362
V. P. Belavkin Measurement and Filtering of Quantum
Diffusion II . . . . . . . . . . . . . . 363--378
K. A. Borovkov Analysis of Transient Effects for
Branching Processes . . . . . . . . . . 379--395
M. S. Ermakov Minimax Nonparametric Testing of
Hypotheses on the Distribution Density 396--416
Yu. I. Ingster Minimax Testing of Hypotheses on the
Distribution Density for Ellipsoids in $
l_p $ . . . . . . . . . . . . . . . . . 417--436
Ya. S. Makhno A Theorem on Large Deviations for One
Class of Diffusion Processes . . . . . . 437--447
E. A. Sataev Asymptotically Markov Stochastic 1 . . . 448--464
A. R. Soltani On Spectral Representation of
Multivariate Stable Processes . . . . . 465--475
A. V. Teplyaev Continual Analogues of Random
Polynomials That are Orthogonal on a
Circle . . . . . . . . . . . . . . . . . 476--489
E. A. Zhizhina and
R. A. Minlos A Local Limit Theorem for Nonhomogeneous
Random Walk on a Lattice . . . . . . . . 490--503
D. Alimov Markov Functionals of an Ergodic Markov
Process . . . . . . . . . . . . . . . . 504--512
I. A. Dzhvarshe\u\ishvili On Amarts with Continuous Time . . . . . 512--519
I. Gyöngy On the Support of the Solutions of
Stochastic Differential Equations . . . 519--523
Yu. M. Kabanov and
D. O. Kramkov No-Arbitrage and Equivalent Martingale
Measures: an Elementary Proof of the
Harrison--Pliska Theorem . . . . . . . . 523--527
E. I. Ostrovski\u\i and
S. Yu. Tsykunova Asymptotic Properties of Distributions
of the Maximum of a Gaussian
Nonstationary Process Occurring in
Covariance Statistic . . . . . . . . . . 527--534
Anonymous New Books . . . . . . . . . . . . . . . 535--535
D. Alimov Asymptotically Ergodic Markov
Functionals of an Ergodic Process . . . 537--546
I. M. Arbekov and
V. I. Vinokurov and
B. V. Ryazanov On the Problem of Detecting Random
Trajectories . . . . . . . . . . . . . . 547--557
A. A. Butov Martingale Methods for Random Walks in a
One-Dimensional Random Environment . . . 558--572
N. V. Norin Itô Formula for an Extended Stochastic
Integral with Nonanticipating Kernel . . 573--592
Yu. S. Novak Poisson Approximation for the Number of
Long Match Patterns in Random Sequences 593--603
N. U. Prabhu and
A. Pacheco A Storage Model for Data Communication
Systems . . . . . . . . . . . . . . . . 604--627
V. A. Vatutin Branching processes with final types of
particles, and random trees . . . . . . 628--641
Yu. A. Velikij and
A. I. Motsa and
D. S. Sil'vestrov Dual Processes and Ergodic Type Theorems
for Markov Chains in the Scheme of
Series . . . . . . . . . . . . . . . . . 642--653
N. V. Krylov and
S. E. Kuznetsov and
A. V. Skorokhod and
A. A. Yushkevich E. B. Dynkin (on the occasion of his
seventieth birthday) . . . . . . . . . . 654--656
A. N. Chuprunov On Refinement of Banach-Valued Limit
Theorems for Stable Laws . . . . . . . . 657--662
N. G. Dokuchaev Distributions of Itô Processes: Estimates
for the Density and for Conditional
Expectations of Integral Functionals . . 662--670
M. Finkelstein and
S. Scheiberg and
H. G. Tucker Integral Transforms with Infinitely
Divisible Kernels . . . . . . . . . . . 670--676
V. F. Gaposhkin On the strong law of large numbers for
blockwise-independent and
blockwise-orthogonal random variables 677--684
V. L. Girko The canonical spectral equation . . . . 685--691
S. A. Grishechkin Interoutput Times in an $ M / G / 1 / P
S $ Queue with Instant Feedback . . . . 692--696
F. I. Karpelevich On Estimation of Maxima of Sums of
Random Variables Indexed by Edges of
Graphs . . . . . . . . . . . . . . . . . 696--702
R. E. Ma\u\iboroda Some Problems of Statistics of
Distribution Mixtures with Variable
Concentrations . . . . . . . . . . . . . 703--707
S. I. Pisanets Two Limit Theorems for Diffusion Type
Stochastic Equations . . . . . . . . . . 708--713
O. P. Vinogradov On Certain Asymptotic Properties of
Waiting Time in a Multiserver Queueing
System with Identical Times . . . . . . 714--718
V. K. Malinovski\u\i Addendum: Asymptotic Expansions in the
Problem of Sequential Estimation of an
Autoregressive Parameter . . . . . . . . 719--719
Anonymous Reviews and Bibliography . . . . . . . . 720--725
Anonymous New Books . . . . . . . . . . . . . . . 726--726
Dzh. G. Da\u\i and
R. Dzh. Vil\cprimeyams Existence and Uniqueness of
Semimartingale Reflecting Brownian
Motions in Convex Polyhedrons . . . . . 1--40
M. S. Ermakov Asymptotic Minimaxity of Tests of the
Kolmogorov and Omega-Square Types . . . 41--51
O. I. Klesov Almost Sure Convergence of Multiple
Series of Independent Random Variables 52--65
A. V. Makarichev Optimal Allocation of Elements in a
Complex of Renewable Standby Systems . . 66--75
T. Mikosch On the Strong Law of Large Numbers for
Random Quadratic Forms . . . . . . . . . 76--91
A. B. Mukhin A relationship between local and
integral limit theorems . . . . . . . . 92--103
Yu. A. Rozanov Stochastic Sobolev Spaces and Their
Boundary Trace . . . . . . . . . . . . . 104--115
Shan Sun Central Limit Theorem of the Perturbed
Sample Quantile for a Sequence of
$m$-Dependent Nonstationary Random
Process . . . . . . . . . . . . . . . . 116--129
N. K. Bakirov A Uniqueness Property of the Chi-Square
Distribution . . . . . . . . . . . . . . 130--136
A. V. Bulinski\u\i Rate of Convergence in the Central Limit
Theorem for Fields of Associated Random
Variables . . . . . . . . . . . . . . . 136--144
L. Gerencsér Slow Stochastic Approximation Processes
are Good for Estimating Slope . . . . . 145--151
L. Goldstein and
R. Khas\cprimeminski\u\i On Efficient Estimation of Smooth
Functionals . . . . . . . . . . . . . . 151--156
V. I. Kabanovich On Time Dependency in a Simple Random
Walk . . . . . . . . . . . . . . . . . . 156--158
A. Yu. Khrennikov On Probability Distributions on the
Field of $p$-Adic Numbers . . . . . . . 159--162
N. V. Kvashko A Forward Interpolation Equation of a
Semimartingale by Observations over a
Point Process . . . . . . . . . . . . . 162--165
S. V. Lisyano\u\i On a Group Analogue of a Theorem of A.
M. Kagan . . . . . . . . . . . . . . . . 165--167
H. Luschgy Linear estimators and Radonifying
operators . . . . . . . . . . . . . . . 167--175
Nguyen Van Giang Marcinkiewicz--Zygmund Laws for Banach
Space Valued Random Variables with
Multidimensional Parameters . . . . . . 175--181
D. Plachky Characterizations of Completion
Regularity of Measures . . . . . . . . . 181--186
E. A. Sataev Continuous Dependence of Final
Distributions on Transition
Probabilities of an Asymptotically
Markov Process . . . . . . . . . . . . . 186--191
Q. M. Shao A Small Deviation Theorem for
Independent Random Variables . . . . . . 191--200
Anonymous News of Scientific Life . . . . . . . . 201--201
Anonymous In Commemoration . . . . . . . . . . . . 202--202
G. V. Balakin Graphs of Systems of Two-Term Equations
with Boolean Unknowns . . . . . . . . . 203--219
O. E. Barndorff-Nielsen and
A. E. Koudou Cuts in Natural Exponential Families . . 220--229
A. A. Borovkov Unimprovable Exponential Bounds for
Distributions of Sums of a Random Number
of Random Variables . . . . . . . . . . 230--237
M. Braverman and
C. Mallows and
L. Shepp Characterization of Probability Law by
Absolute Moments of Its Partial Sums . . 238--249
G. Christoph and
Yu. V. Prokhorov and
V. V. Ulyanov On Distribution of Quadratic Forms in
Gaussian Random Variables . . . . . . . 250--260
A. A. Gushchin On Asymptotic Optimality of Estimators
of Parameters under the LAQ Condition 261--272
K. S. Kubacki On the Convergence of Moments in a
Martingale Central Limit Theorem . . . . 273--284
V. A. Lebedev The Fubini Theorem for Stochastic
Integrals with Respect to $ L^0 $-Valued
Random Measures Depending on a Parameter 285--293
N. Leonenko and
E. Orsingher Limit Theorems for Solutions of the
Burgers Equation with Gaussian and
Non-Gaussian Initial Conditions . . . . 294--308
S. V. Lototskii Robust Algorithms of the Type of
Stochastic Approximation (Continuous
Time) . . . . . . . . . . . . . . . . . 309--328
M. G. Shur Asymptotic Equidistribution of Symmetric
Random Walks on Unimodular Groups . . . 329--339
N. K. Bakirov Comparison Theorems for Distribution
Functions of Quadratic Forms of Gaussian
Vectors . . . . . . . . . . . . . . . . 340--348
T. S. Chiang and
Y. Chow On Global and Sharp Markov Properties of
Random Functional Series in Sobolev
Spaces . . . . . . . . . . . . . . . . . 348--354
Yu. A. Davydov and
R. R. Manukyan A Local Limit Theorem for Multiple
Wiener-Itô Stochastic Integrals . . . . . 354--361
I. V. Grinevich and
Yu. S. Khokhlov The Domains of Attraction of Semistable
Laws . . . . . . . . . . . . . . . . . . 361--366
M. U. Khafizov Weakly Measurable Seminorms and
Sufficient Topologies . . . . . . . . . 366--371
A. Yu. Khrennikov On the Extension of the von Mises
Frequency Approach and Kolmogorov
Axiomatic Approach to the $p$-Adic
Probability Theory . . . . . . . . . . . 371--376
V. A. Kopytsev On the Distribution of the Number of
Solutions of Random Systems of Equations
Which are Known to be Consistent . . . . 376--383
I. S. Molchanov On the Convergence of Random Processes
Generated by Polyhedral Approximation of
Convex Compacts . . . . . . . . . . . . 383--390
V. I. Pagurova and
I. L. Chizhikova Tests for Detection of Outliers Based on
Robust Estimators of Nuisance Parameters 390--397
V. A. Vatutin On the Maximum of a Simple Random Walk 398--402
Anonymous Reviews and Bibliography . . . . . . . . 403--408
V. G. Alekseev Asymptotic Properties of Higher-Order
Periodograms . . . . . . . . . . . . . . 409--419
A. N. Baushev On the Weak Convergence of Probability
Measures in Orlicz Spaces . . . . . . . 420--429
V. Bentkus and
F. Götze On Minimal Moment Assumptions in
Berry-Esséen Theorems for $U$-Statistics 430--445
I. D. Cherkasov Transformation of One-Dimensional
Diffusion Fields in the Plane . . . . . 446--455
A. A. Dorogovtsev On Solutions of Integral Equations with
an Extended Stochastic Integral . . . . 456--468
G. L. Kulinich and
M. V. Kharkova Limit Theorems for Stochastic
Differential Equations without
After-Effect . . . . . . . . . . . . . . 469--483
M. I. Rivlin Asymptotic Properties of Thinning Random
Sets . . . . . . . . . . . . . . . . . . 484--494
B. A. Sevast\cprimeyanov Extinction Probabilities for Branching
Processes Bounded from Below . . . . . . 495--502
V. Vol\cprimekovich On $V$-Infinitely Divisible
Distributions . . . . . . . . . . . . . 503--517
M. Yamazato On Strongly Unimodal Infinitely
Divisible Distributions of Class CME . . 518--532
L. A. Aliushina On Controlled Diffusion Processes in a
Bounded Domain . . . . . . . . . . . . . 533--538
I. R. Bagdasarova and
E. I. Ostrovski\u\i Nonuniform Exponential Estimates for
Large Deviations in Banach Space . . . . 538--542
N. K. Bakirov The Extrema of the Distribution Function
for the Ratio of Quadratic Forms in
Gaussian Variables . . . . . . . . . . . 542--546
I. V. Grinevich The Rate of Convergence in Limit
Theorems for Max-Semistable Laws . . . . 546--549
L. Kruk and
W. Zi\ceba On $ (B, \rho) $-Amarts and Almost Sure
Convergence . . . . . . . . . . . . . . 549--556
G. N. Mil\cprimeshte\u\in Solution of the First Boundary Value
Problem for Parabolic Equations by
Integration of Stochastic Differential
Equations . . . . . . . . . . . . . . . 556--563
F. S. Nasyrov On Reflection of Continuous Functions
and Random Processes Having Local Times 563--567
N. Papadatos and
V. Papathanasiou Distance in Variation between Two
Arbitrary Distributions via the
Associated $w$-Functions . . . . . . . . 567--575
S. M. Sagitov On an Explosive Branching Process . . . 575--577
K. Schladitz and
H. J. Engelbert On Probability Density Functions Which
are Their Own Characteristic Functions 577--581
O. P. Vinogradov On the Output Stream and the Joint
Distribution of Sojourn Times in a
Multiphase System with Identical Service 581--588
O. L. Yanushkevichiene On the Limit Distributions of
Homogeneous Random Symmetric Polynomials
of Arbitrary Degree . . . . . . . . . . 588--594
M. V. Burnashev Letters to the Editors . . . . . . . . . 595--596
S. Yu. Novak Addendum: Poisson Approximation for the
Number of Long Match Patterns in Random
Sequences . . . . . . . . . . . . . . . 596--596
Anonymous Reviews and Bibliography . . . . . . . . 597--598
I. S. Badalbaev and
T. D. Yakubov Limit Theorems for the Critical
Galton--Watson Processes with Migration 599--612
N. K. Bakirov A Refinement of Asymptotics in the
Prokhorov-Donsker Invariance Principle
for Integral Functionals . . . . . . . . 613--634
V. L. Girko A Matrix Equation for Resolvents of
Random Matrices with Independent Blocks 635--644
V. A. Lebedev Behavior of Random Measures under
Filtration Change . . . . . . . . . . . 645--652
A. Y. Lo and
V. V. Sazonov The von Mises $ \omega^2 $-Statistic and
the Bootstrap . . . . . . . . . . . . . 653--659
S. Ya. Makhno Large Deviations for Solutions of
Stochastic Equations . . . . . . . . . . 660--678
V. G. Mikha\u\ilov Repetition of States of a Random-Number
Generator under Multiple Access . . . . 679--689
P. Del Moral Nonlinear Filtering Using Random
Particles . . . . . . . . . . . . . . . 690--701
F. S. Nasyrov On Local Times for Functions and
Stochastic Processes I . . . . . . . . . 702--713
O. V. Rusakov A Functional Limit Theorem for Random
Variables with Strong Residual
Dependence . . . . . . . . . . . . . . . 714--728
Yu. N. Vladimirski\u\i Equimeasurable Sets and Cylindrical
Measures . . . . . . . . . . . . . . . . 729--736
D. R. Bagdasarov and
E. I. Ostrovski\u\i Reversion of Chebyshev's Inequality . . 737--742
V. I. Bakhtin Large Deviations under Power Mixing . . 742--744
K. P. Belyaev and
L. V. Nazarov Limit Theorems for Characteristics of a
Queueing System with Batch Processing 744--747
B. S. Darkhovskii Retrospective Detection of the
Change-Point in Some Models of
Regression Type . . . . . . . . . . . . 748--753
A. A. Dorogovtsev On a Type of Stochastic Differential
Equations with Anticipation . . . . . . 753--756
A. G. Grin\cprime Limit Theorems for the Scheme of Series
for Weakly Dependent Variables . . . . . 756--764
W. Hazod A Generalization of E. Siebert's Theorem
on Convergence of Convolution Semigroups
and Accompanying Laws . . . . . . . . . 765--769
V. Yu. Korolev Convergence of random sequences with
independent random indices. II . . . . . 770--772
L. Mattner and
M. Reinders Optimal Unbiased Estimators in Additive
Models with Bounded Errors are
Deterministic . . . . . . . . . . . . . 772--777
V. I. Serdobol\cprimeski\u\i Spectral Properties of Sample Covariance
Matrices . . . . . . . . . . . . . . . . 777--786
A. G. Sholomitskii On Conditions for Convergence of Sums of
Independent Variables . . . . . . . . . 786--791
A. Yu. Volkova A Refinement of the Central Limit
Theorem for Sums of Independent Random
Indicators . . . . . . . . . . . . . . . 791--794
A. L. Yakymiv Asymptotics of the $k$ th Record Times 794--797
A. A. Borovkov and
D. A. Korshunov Large-Deviation Probabilities for
One-Dimensional Markov Chains. Part 1:
Stationary Distributions . . . . . . . . 1--24
M. P. Krivenko and
K. V. Streltsov On the Distribution of the Number of
Steps in an Estimate of Monotone Trend 25--34
R. Sh. Liptser Large Deviations for Occupation Measures
of Markov Processes: Discrete Time,
Noncompact Case . . . . . . . . . . . . 35--54
V. M. Maksimov Cubic Stochastic Matrices and Their
Probability Interpretation . . . . . . . 55--69
V. K. Malinovski\u\i Limit Theorems for Stopped Random
Sequences II: Large Deviations . . . . . 70--90
N. V. Smorodina An Asymptotic Expansion of the
Distribution of a Homogeneous Functional
of a Strictly Stable Vector . . . . . . 91--115
N. N. Vakhania and
N. P. Kandelaki Random Vectors with Values in Complex
Hilbert Spaces . . . . . . . . . . . . . 116--131
B. M. Gurevich and
I. A. Ibragimov and
R. A. Minlos and
I. A. Ovseevich and
V. I. Oseledets and
M. S. Pinsker and
V. V. Prelov and
Yu. V. Prokhorov and
Ya. G. Sina\u\i and
A. S. Kholevo and
A. N. Shiryaev Roland L\cprimevovich Dobrushin (July
20, 1929--December 12, 1995) . . . . . . 132--136
Anonymous Short Communications . . . . . . . . . . 137--195
G. N. Mil\cprimeshte\u\in Application of the numerical integration
of stochastic equations for the solution
of boundary value problems with Neumann
boundary conditions . . . . . . . . . . 170--177
E. Omey Operators of probabilistic type . . . . 178--185
I. Szyszkowski Weak invariance principle for integral
type functionals . . . . . . . . . . . . 185--192
Anonymous New Books . . . . . . . . . . . . . . . 196--197
D. Applegate and
J. Reeds and
S. Scheinberg and
L. Shepp and
P. Shor Some Problems in Probabilistic
Tomography . . . . . . . . . . . . . . . 199--209
S. Basu and
A. DasGupta The Mean, Median, and Mode of Unimodal
Distributions: a Characterization . . . 210--223
S. Fortini and
L. Ladelli and
E. Regazzini A Central Limit Problem for Partially
Exchangeable Random Variables . . . . . 224--246
V. F. Gaposhkin Spectral Criteria for Existence of
Generalized Ergodic Transforms . . . . . 247--264
V. G. Mikha\u\ilov Limit Theorems for a Random Covering of
a Finite Set and for the Number of
Solutions of a System of Random
Equations . . . . . . . . . . . . . . . 265--274
F. S. Nasyrov On Local Times for Functions and
Stochastic Processes . . . . . . . . . . 275--287
I. V. Pavlov On the Invariance of Some Martingale
Inequalities for the Processes of More
General Kind . . . . . . . . . . . . . . 288--295
S. S. Ralescu A Bahadur--Kiefer Law for the Nadaraya
Empiric-Quantile Processes . . . . . . . 296--306
O. I. Shipilov The empirical distribution function in
an experiment with binomial
randomization . . . . . . . . . . . . . 307--316
V. A. Vatutin and
V. G. Mikha\u\ilov Asymptotic Properties of Matrices
Related to Mappings of Partitions . . . 318--325
V. A. Vatutin and
others Obituary: Boris Vladimirovich Gnedenko 326--327
M. I. Baron On the first passage time for waiting
processes . . . . . . . . . . . . . . . 328--334
Anonymous Short Communications . . . . . . . . . . 328--403
A. N. Baushev On the boundedness of the density of the
distribution of the norm of a Gaussian
random vector . . . . . . . . . . . . . 334--340
M. V. Boldin On the least absolute deviation
estimator in nonstationary
autoregression, and testing for
stationarity . . . . . . . . . . . . . . 340--348
I. Yu. Denisova Asymptotic behavior of the solution of a
system of stochastic differential
equations . . . . . . . . . . . . . . . 348--352
V. V. Gorya\u\inov and
A. A. Polkovnikov On limit probability distributions for
subcritical branching processes . . . . 352--359
M. L. Kleptsyna The averaging principle and diffusion
approximation for Volterra equations . . 359--367
T. L. Mikhaleva and
V. I. Piterbarg On the distribution of the maximum of a
Gaussian field with constant variance on
a smooth manifold . . . . . . . . . . . 367--379
\`E. Orsinger and
A. Kolesnik The exact distribution in a model of
random motion in a plane, controlled by
a fourth-order hyperbolic equation . . . 379--386
Yu. A. Rozanov On a Hilbert space method for estimating
mean values . . . . . . . . . . . . . . 387--393
V. I. Sherstnev Joint distribution of carries in integer
addition . . . . . . . . . . . . . . . . 394--399
A. G. Sholomitski\u\i A theorem of W. Feller for sums of
dependent variables . . . . . . . . . . 399--403
Yu. V. Borovskikh and
L. Madan Puri and
V. V. Sazonov Normal Approximation of $U$-Statistics
in Hilbert Space . . . . . . . . . . . . 405--424
C. Ceci and
A. Gerardi and
L. Mazliak Some Results about Stopping Times of the
Marked Tree Space . . . . . . . . . . . 425--435
T. V. Dudnikova and
A. I. Komech Ergodic Properties of Hyperbolic
Equations with Mixing . . . . . . . . . 436--448
H. L. Hurd and
A. Russek Stepanov Almost Periodically Correlated
and Almost Periodically Unitary
Processes . . . . . . . . . . . . . . . 449--467
V. M. Kruglov and
Tchzhan Bo Limit Theorems for the Maximal Random
Sums . . . . . . . . . . . . . . . . . . 468--478
S. Yu. Novak On the Distribution of the Ratio of Sums
of Random Variables . . . . . . . . . . 479--503
N. P. Salikhov An Estimate of the Concentration
Function by the Esseen Method . . . . . 504--518
Anonymous Pafnuti\u\i L\cprimevovich Chebyshev (on
the 175th anniversary of his birth) . . 519--530
I. M. Arbekov and
G. V. Proskurin On a lower bound for the probability of
the correct classification of
observations . . . . . . . . . . . . . . 532--537
Anonymous Short Communications . . . . . . . . . . 532--608
Z. I. Bezhaeva and
V. I. Oseledets On the variance of sums for functions of
a stationary Markov process . . . . . . 537--541
V. A. Egorov On the asymptotic behavior of
self-normalized sums of random variables 542--548
V. R. Fatalov Large deviations of Gaussian measures in
the spaces $ l^p $ and $ L^p $, $ p \geq
2 $ . . . . . . . . . . . . . . . . . . 548--555
V. A. Kashtanov and
I. M. Yanishevski\u\i Joint distribution of catastrophe time
and of the additive functional of
profits . . . . . . . . . . . . . . . . 555--560
S. V. Nagaev and
S. S. Khodzhabagyan On an estimate for the concentration
function of sums of independent random
variables . . . . . . . . . . . . . . . 560--569
Nguyen Van Quang and
Nguyen Duy Tien The strong law of large numbers for
$d$-dimensional arrays in von Neumann
algebras . . . . . . . . . . . . . . . . 569--578
G. Pap and
M. van Zuijlen Asymptotic inference for nearly unstable
multidimensional AR processes . . . . . 578--586
\`E. L. Presman and
V. I. Rotar\cprime On the law of large numbers for
nonlinear functions of several random
variables . . . . . . . . . . . . . . . 586--592
L. N. Pushkin Ergodic properties of sets defined by
frequencies of numbers . . . . . . . . . 593--597
V. N. Radchenko On a definition of the integral of a
random function . . . . . . . . . . . . 597--601
Z. P. Tsigroshvili On moduli of continuity of innovation
evolvents of empirical fields . . . . . 601--605
V. G. Vovk A strictly martingale version of
Kolmogorov's strong law of large numbers 605--608
Anonymous Reviews and Bibliography . . . . . . . . 609--613
Anonymous New Books . . . . . . . . . . . . . . . 614--614
I. S. Badalbaev and
A. V. Dryakhlov The Asymptotic Behavior of Nonextinction
Probability of a Branching Process with
Pairwise Interaction of Particles . . . 617--631
M. V. Burnashev Asymptotic Expansions for Median
Estimate of a Parameter . . . . . . . . 632--645
S. Cheng and
L. de Haan and
J. Yang Asymptotic Distributions of Multivariate
Intermediate Order Statistics . . . . . 646--656
S. A. Egishyants and
E. I. Ostrovskii Local and Global Upper Functions for
Random Fields . . . . . . . . . . . . . 657--665
N. James and
Y. Peres Cutpoints and Exchangeable Events for
Random Walks . . . . . . . . . . . . . . 666--677
V. V. Konev and
S. M. Pergamenshchikov The Prescribed Precision Estimators of
the Autoregression Parameter Using the
Generalized Least Square Method . . . . 678--694
N. V. Lazakovitch and
S. P. Stashulenok An Approximation of the Ito and
Stratonovich Stochastic Integrals by
Elements of a Direct Product of Algebras
of Generalized Random Processes . . . . 695--715
A. A. Novikov Martingales, Tauberian Theorem, and
Strategies of Gambling . . . . . . . . . 716--729
A. N. Startsev On the Distribution of the Size of an
Epidemicin a Non-Markovian Model . . . . 730--740
Anonymous Short Communications . . . . . . . . . . 741--814
Anonymous Reviews and Bibliography . . . . . . . . 815--819
Anonymous News of Scientific Life . . . . . . . . 820--820
A. K. Aleskeviciene and
V. A. Statulevicius Inversion Formulas in the Case of a
Discontinuous Limit Law . . . . . . . . 1--16
V. A. Topchii and
V. A. Vatutin Maximum of the Critical Galton--Watson
Processes and Left-Continuous Random
Walks . . . . . . . . . . . . . . . . . 17--27
F. Gotze and
Yu. V. Prokhorov and
V. V. Ulyanov On Smooth Behavior of Probability
Distributions Under Polynomial Mappings 28--38
V. V. V\cprimeyugin Effective Convergence in Probability and
an Ergodic Theorem for Individual Random
Sequences . . . . . . . . . . . . . . . 39--50
A. B. Piunovskii A Controlled Jump Discounted Model with
Constraints . . . . . . . . . . . . . . 51--72
Yu. A. Zuev On the Estimation of Efficiency of
Voting Procedures . . . . . . . . . . . 73--81
P. Berti and
E. Regazzini and
P. Rigo Well Calibrated, Coherent Forecasting
Systems . . . . . . . . . . . . . . . . 82--102
P. E. Greenwood and
W. Wefelmeyer Maximum Likelihood Estimator and
Kullback--Leibler Information in
Misspecified Markov Chain Models . . . . 103--111
L. V. Rozovski\u\i A Generalization of the Kolmogorov
Theorem on the Law of the Iterated
Logarithm . . . . . . . . . . . . . . . 112--120
V. L. Girko A Refinement of the Central Limit
Theorem for Random Determinants . . . . 121--129
\`E. M. Kudlaev Weak Convergence of Distributions of
Separable Statistics . . . . . . . . . . 130--148
T. Cacoullos and
N. Papadatos and
V. Papathanasiou Short Communication:Variance
Inequalities for Covariance Kernels and
Applications to Central Limit Theorems 149--155
D. Ferger Short Communication: Optimal Bounds for
the Prokhorov Distance of the Miller-Sen
Process and Brownian Motion . . . . . . 155--162
V. A. Ivnitskii Short Communication: On the Invariance
of Stationary Probabilities of States of
a Closed Star-Shaped Queueing Network
with State-Dependent Transition
Probabilities . . . . . . . . . . . . . 162--167
A. Jakubowski Short Communication: The Almost Sure
Skorokhod Representation for
Subsequences in Nonmetric Spaces . . . . 167--174
V. G. Mikhailov Short Communication: On a Poisson
Approximation for the Distribution of
the Number of Empty Cells in a
Nonhomogeneous Allocation Scheme . . . . 174--179
S. I. Pisanets Short Communication: On the Existence of
Strong Solutions of Diffusion-Type
Stochastic Equations in $ R^{m*} $ . . . 179--184
G. J. Székely and
A. Zemplén Short Communication: Remarks on the
Paper ``On a Problem of a Khinchin-Type
Decomposition Theorem for Extreme
Values'' [Teor. Veroyatnost. i Primenen.
\bf 39 (1994), no. 2, 395--402; MR
97c:60136] by E. Pancheva . . . . . . . 184--185
Anonymous Reviews and Bibliography . . . . . . . . 186--188
V. Bentkus and
F. Götze and
A. Yu. Zaitsev Approximation of Quadratic Forms of
Independent Random Vectors by
Accompanying Laws . . . . . . . . . . . 189--212
B. V. Bondarev On the Kolmogorov--Hajek--Rényi
Inequality for Normed Integrals of
Weakly Dependent Processes . . . . . . . 213--224
V. M. Kruglov To the Invariance Principle . . . . . . 225--243
A. M. Kulik Regular Gaussian Random Operatorsand
Strook--Varadhan Theorem for Symmetric
Stochastic Fredholm-Type Equations . . . 244--253
S. Yu. Novak On the Erd\Hos--Rényi Maximum of Partial
Sums . . . . . . . . . . . . . . . . . . 254--270
Sh. Yakshyavichus On a Method of Expansion of the
Probabilities of Lattice Random
Variables . . . . . . . . . . . . . . . 271--282
E. Clement Short Communication: Bias Correction for
the Estimation of Discretized Diffusion
Processes from an Approximated
Likelihood Function . . . . . . . . . . 283--288
E. B. Dynkin Short Communication: a Probabilistic
Approach to a Nonlinear Differential
Equation on a Riemannian Manifold . . . 289--294
R. Ibragimov and
Sh. Sharakhmetov Short Communications: On an Exact
Constant for the Rosenthal Inequality 294--302
E. I. Ostrovskii Short Communications: Estimates of the
Distribution of the Maximum of a Random
Field . . . . . . . . . . . . . . . . . 302--310
V. N. Radchenko Short Communications: Convergence of
Integrals of Unbounded Real Functions in
Random Measures . . . . . . . . . . . . 310--314
Anonymous The XVIIIth International Seminar on
Stability Problems for Stochastic Models 315--383
K. A. Borovkov Propagation of Chaos for Queueing
Networks . . . . . . . . . . . . . . . . 385--394
M. Broniatowski and
M. Weber Strong Laws for Sums of Extreme Values 395--404
V. F. Gaposhkin On Almost Everywhere Convergence of the
Riesz Averages of Homogeneous Random
Fields . . . . . . . . . . . . . . . . . 405--415
S. E. Graversen and
G. Pe\vskir On the Russian Option: the Expected
Waiting Time . . . . . . . . . . . . . . 416--425
A. I. Il\cprimeinski\u\i and
G. P. Chistyakov On the Problem of Characterizing
Probability Distributionsby Absolute
Moments of Partial Sums . . . . . . . . 426--432
V. I. Pagurova On the Asymptotic Power of a Test for
Detecting Outliers . . . . . . . . . . . 433--443
G. Pe\vskir and
A. N. Shiryaev On the Brownian first-passage time over
a one-sided stochastic boundary . . . . 444--453
L. V. Rozovski\u\i Probabilities of Large Deviations for
Sums of Independent Random Variables
with a Common Distribution Functionfrom
the Domain of Attraction of an
Asymmetric Stable Law . . . . . . . . . 454--482
L. Rüschendorf and
W. Thomsen Closedness of sum spaces and the
generalized Schrödinger problem . . . . . 483--494
M. S. Tikhov Asymptotics of Statistical Estimates
Constructed from Censored Samples of
Distributions with Regularly Varying
Tails . . . . . . . . . . . . . . . . . 495--512
V. I. Bakhtin Large Deviations of Random Variables
with a Finite Number of Approximately
Evaluated Cumulants . . . . . . . . . . 513--517
S. G. Bobkov and
F. Götze On Moments of Polynomials . . . . . . . 518--520
S. V. Nagaev Probabilistic Inequalities for Sums of
Independent Random Variables in Terms of
Truncated Pseudomoments . . . . . . . . 520--528
I. V. Pavlov Haar Systems and Some Results on the
Basis in a Martingale Space with Mixed
Norm . . . . . . . . . . . . . . . . . . 528--531
\`E. L. Presman Optimality Almost Surely and in
Probability for a Stochastic Linearly
Quadratic Regulator . . . . . . . . . . 531--535
M. S. Sgibnev Asymptotics of the Generalized Renewal
Functions when the Variance is Finite 536--541
V. V. V\cprimeyugin On the Longest Head-Run in an Individual
Random Sequence . . . . . . . . . . . . 541--546
V. G. Alekseev New Modifications of Second- and
Third-Order Periodograms . . . . . . . . 559--567
C. Berzin-Joseph and
J. R. León Weak Convergence of the Integrated
Number of Level Crossings to the Local
Time for Wiener Processes . . . . . . . 568--579
U. Capar Fusions of Stable Measures in Banach
Spaces . . . . . . . . . . . . . . . . . 580--588
M. S. Ermakov Asymptotic Minimaxity of Chi-Square
Tests . . . . . . . . . . . . . . . . . 589--610
G. M. Fel'dman The Skitovich--Darmois Theorem for
Discrete Periodic Abelian Groups . . . . 611--617
A. D. Lisitskii The Eaton Problem and Multiplicative
Properties of Multivariate Distributions 618--632
A. B. Mukhin Approximation of Local Probabilities of
Sums of Independent Random Variables . . 633--645
R. Norvaisa Strassen's Law for Weighted Sup-Norms 646--655
E. Regazzini and
V. V. Sazonov On the Central Limit Problem for
Partially Exchangeable Random Variables
with Values in a Hilbert Space . . . . . 656--670
N. P. Salikhov On the Absolute Significance Test for
Polynomial Distribution . . . . . . . . 671--683
D. R. Bagdasarov and
E. I. Ostrovskii Exponential Confidence Intervals in
Nonparametric Density Estimation . . . . 684--689
A. Yu. Khrennikov $p$-adic Behavior of Bernoulli
Probabilities . . . . . . . . . . . . . 689--694
V. Yu. Korolev On the Convergence of Distributions of
Random Sums of Independent Random
Variables to Stable Laws . . . . . . . . 695--696
V. V. Mazalov E. A. Kochetov A Game with Optimal Stopping of Random
Walks . . . . . . . . . . . . . . . . . 697--701
Yu. V. Mednitskii On the Existence of Strong Solutions of
Linear Stochastic Differential Equations
in $ \mathbf {R}^\infty $ . . . . . . . 702--706
S. V. Nagaev Some Refinements of Probabilistic and
Moment Inequalities . . . . . . . . . . 707--713
Anonymous Reviews and Bibliography . . . . . . . . 714--716
Anonymous Award of the Wolf Prize . . . . . . . . 717--719
A. A. Borovkov and
A. A. Mogulskii Integro-Local Limit Theorems Including
Large Deviations for Sums of Random
Vectors. . . . . . . . . . . . . . . . . 1--12
B. Cadre On a Functional Version of the
Convergence of a Quadratic Form in
Independent Martingales to a $ \chi^2 $
Distribution . . . . . . . . . . . . . . 13--25
P. Eichelsbacher and
M. Lowe Large Deviations Principle for Partial
Sums $U$-Processes . . . . . . . . . . . 26--41
G. Kallianpur and
Y. T. Kim A Curious Example from Statistical
Differential Geometry . . . . . . . . . 42--62
A. Khashimov and
G. R. Abdurakhmanov Estimates of the Convergence Ratein the
Central Limit Theorem for Generalized
$U$-Statistics . . . . . . . . . . . . . 63--74
V. I. Masol A Theorem on the Limiting Distribution
for the Number of False Solutions of a
System of Nonlinear Random Boolean
Equations . . . . . . . . . . . . . . . 75--88
A. N. Timashev On Asymptotic Expansions in the Domain
of Large Deviations for Binomial and
Poisson Distributions . . . . . . . . . 89--98
N. N. Vakhania Random Vectors with Values in Quaternion
Hilbert Spaces . . . . . . . . . . . . . 99--115
A. A. Abdushukurov On Nonparametric Estimation of
Reliability Indices . . . . . . . . . . 116--122
N. M. Arato On Estimating the Mean Value of Levy's
Brownian Motion . . . . . . . . . . . . 123--125
Gy. Michaletzky and
L. Szeidl and
P. Varlaki On the Characteristic Function of the
Joint Limit Distribution of the First-
and Second-Order Power Sums . . . . . . 126--134
A. A. Novikov Hedging of Options with a Given
Probability . . . . . . . . . . . . . . 135--143
B. L. S. Rao Prakasa On a Characterization of Stochastic
Processes by the Absolute Moments of
Stochastic Integrals . . . . . . . . . . 144--145
Yu. A. Rozanov On Piecewise Linear Approximation for
Nonlinear Stochastic Evolution . . . . . 146--151
L. V. Rozovsky On the Cramér Series Coefficients . . . . 152--157
S. V. Savchenko On the Probability of the Existence of a
Localized Basic State for a Discrete
Schrödinger Equation with Random
Potential, Perturbed by a Compact
Operator . . . . . . . . . . . . . . . . 158--162
J. Sunklodas On a Lower Bound of the Rate of
Convergence in the Central Limit Theorem
for $m$-Dependent Random Fields . . . . 162--169
N. G. Dokuchaev Local Sojourn Time of Diffusion and
Degenerating Processes on a Mobile
Surface . . . . . . . . . . . . . . . . 171--188
H. J. Engelbert and
J. Wolf Strong Markov Local Dirichlet Processes
and Stochastic Differential Equations 189--202
V. M. Kruglov Weak Compactness of Random Sums of
Independent Random Variables . . . . . . 203--220
N. V. Lazakovitch and
S. P. Stashulenok and
T. V. Stemkovskaia Associated Solutions of Equations in
Differentials in the Direct Product of
Algebras of Generalized Random Processes 221--238
N. P. Salikhov On One Generalization of Chernov's
Distance . . . . . . . . . . . . . . . . 239--255
B. I. Selivanov On a Generalization of the Classical
Allocation Problem . . . . . . . . . . . 256--268
I. N. Volodin and
An. A. Novikov Local Asymptotic Efficiency of a
Sequential Probability Ratio Test for
$d$-Guarantee Discrimination of
Composite Hypotheses . . . . . . . . . . 269--281
B. S. Darkhovskii On a Stochastic Renewal Problem . . . . 282--288
S. V. Nagaev and
E. L. Presman On the Iterated Logarithm Lawin a
Control Problem . . . . . . . . . . . . 288--293
A. F. Nikolaev On a Formulation of the Multiple
``Disorder'' Problem . . . . . . . . . . 293--297
M. L. Nikolaev On Optimal Multiple Stopping of Markov
Sequences . . . . . . . . . . . . . . . 298--306
B. Roos Metric Multivariate Poisson
Approximation of the Generalized
Multinomial Distribution . . . . . . . . 306--316
B. A. Sevastyanov Asymptotic Behavior of the Extinction
Probabilities for Stopped Branching
Processes . . . . . . . . . . . . . . . 315--322
M. S. Sgibnev On the Distribution of the Supremum of a
Random Walk When the Characteristic
Equation Has Roots . . . . . . . . . . . 322--329
V. I. Sherstnev A Random Variable Uniformly Distributed
ona Finite Abelian Group as Sum of
Independent Summands . . . . . . . . . . 329--335
A. Yu. Veretennikov On Large Deviations for Stochastic
Differential Equations with a Small
Diffusion and Averaging . . . . . . . . 335--337
O. P. Vinogradov Ruin Probability of an Insurance Company
in the Case where Intervals Between
Payments Have Unequal Exponential
Distributions . . . . . . . . . . . . . 337--342
S. Aspandiiarov and
R. Iasnogorodski General Criteria of Integrability of
Functions of Passage-Times for
Nonnegative Stochastic Processes and
Their Applications . . . . . . . . . . . 343--369
I. A. Ibragimov and
R. Z. Khas'minskii Estimation Problems for Coefficients of
Stochastic Partial Differential
Equations. Part I . . . . . . . . . . . 370--387
H. Luschgy Minimaxity and Equivariance in Infinite
Dimension . . . . . . . . . . . . . . . 388--404
A. V. Nagaev Cramer Large Deviations when the Extreme
Conjugate Distribution is Heavy-tailed 405--421
S. V. Pazizin and
B. V. Ryazanov Asymptotic Normality of the
Log-likelihood Ratio for a Class of
$m$-dependent Random Variables . . . . . 422--433
A. G. Sholomitskii On the Necessary Conditions of Normal
Convergence for Martingales . . . . . . 434--448
M. A. Vronskii Rate of Convergence in the SLLN for
Associated Sequences and Fields . . . . 449--462
Zhong Gen Su On the Weak Convergence of Vector-Valued
Continuous Random Processes . . . . . . 463--476
G. M. Fel'dman On a Characterization of Gaussian
Distributions on Abelian Groups by
Constancy of Regression . . . . . . . . 477--480
V. G. Mikhailov Limit Theorems for the Number of Nonzero
Solutions of a System of Random
Equations over GF(2) . . . . . . . . . . 480--487
Yu. S. Mishura and
F. Weisz Atomic Decompositions and Inequalities
for Vector-Valued Discrete-Time
Martingales . . . . . . . . . . . . . . 487--496
A. N. Quas An Entropy Estimator for a Class of
Infinite Alphabet Processes . . . . . . 496--507
V. A. Vasiliev G. M. Koshkin Nonparametric Identification of
Autoregressions . . . . . . . . . . . . 507--517
S. Albeverio and
L. V. Bogachev Localization Vs. Delocalization of
Random Discrete Measures . . . . . . . . 519--538
A. A. Borovkov Asymptotically Optimal Solutions in the
Change-Point Problem . . . . . . . . . . 539--561
P. Del Moral and
M. Doisy Maslov Idempotent Probability Calculus,
I . . . . . . . . . . . . . . . . . . . 562--576
B. Delyon and
A. Juditsky On Small Perturbations of Stable Markov
Operators: Unbounded Case . . . . . . . 577--587
A. V. Melnikov and
M. L. Nechaev On the Mean-Variance Hedging Problem . . 588--603
Y. Rinott and
V. Rotar Some Bounds on the Rate of Convergence
in the CLT for Martingales. I . . . . . 604--619
V. Vatutin and
A. Wakolbinger Spatial Branching Populations with Long
Individual Lifetimes . . . . . . . . . . 620--632
A. V. Kalinkin Final Probabilities for a Branching
Process with Interaction of Particles
and an Epidemic Process . . . . . . . . 633--640
A. V. Kolesnikov On Topological Properties of the
Skorokhod Space . . . . . . . . . . . . 640--644
V. Yu. Korolev On Convergence of Distributions of
Compound Cox Processes to Stable Laws 644--650
A. A. Pashko Uniform Convergence of Sub-Gaussian
Integrals . . . . . . . . . . . . . . . 650--655
N. A. Tolmachev On the Smoothness and Singularity of
Invariant Measures and Transition
Probabilities of Infinite-dimensional
Diffusions . . . . . . . . . . . . . . . 655--664
A. Yu. Veretennikov On Large Deviations in the Averaging
Principle for Stochastic Differential
Equations with ``Complete Dependence'' 664--666
P. A. Zanzotto Representation of a Class of
Semimartingales as Stable Integrals . . 666--676
A. M. Zubkov Two-sided Inequalities for Laplace
Transforms . . . . . . . . . . . . . . . 676--681
Anonymous Letter to the Editors . . . . . . . . . 682--682
Anonymous Reviews and Bibliography . . . . . . . . 683--684
Anonymous News of Scientific Life . . . . . . . . 685--686
Anonymous The 20th International Seminar on
Stability Problems for Stochastic
Models, Lublin--Naleczow, Poland,
September 5--11, 1999 . . . . . . . . . 687--688