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BibTeX entry
@Article{Block:2010:GEB,
author = "Henry W. Block and Thomas H. Savits",
title = "A General Example for {Benford} Data",
journal = j-AMER-STAT,
volume = "64",
number = "4",
pages = "335--339",
month = nov,
year = "2010",
CODEN = "ASTAAJ",
DOI = "https://doi.org/10.1198/tast.2010.09169",
ISSN = "0003-1305 (print), 1537-2731 (electronic)",
ISSN-L = "0003-1305",
bibdate = "Wed Nov 9 17:20:17 MST 2011",
bibsource = "http://www.amstat.org/publications/tas/;
http://www.math.utah.edu/pub/tex/bib/amstat.bib",
abstract = "Benford's Law deals, among other things, with the
proportion of numbers whose first significant digit is
a $1$ (e.g., $0.00131$ and $19668$ both have first
significant digit $1$) in a variety of datasets. In
these datasets, which arise in various compendiums or
as mixtures of various sets of numbers, the proportion
of numbers with first significant digit one is $0.3010$
which is much higher than the commonsense value of $1 /
9$. The reasons for this occurrence have been elusive.
Mathematical attempts to explain this phenomenon have
been relatively fruitless. Methods involving
probability have been somewhat more successful. In this
article we give some simple reasons for this occurrence
and also give an example of a general mixture of
distributions which exactly satisfies this Law. Various
other examples and counterexamples are also given.",
acknowledgement = ack-nhfb,
fjournal = "The American Statistician",
}
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