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An Introduction to Benford's Law$
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Arno Berger and Theodore P. Hill

Print publication date: 2015

Print ISBN-13: 9780691163062

Published to Princeton Scholarship Online: October 2017

DOI: 10.23943/princeton/9780691163062.001.0001

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The Benford Property

The Benford Property

Chapter:
(p.22) Chapter Three The Benford Property
Source:
An Introduction to Benford's Law
Author(s):

Arno Berger

Theodore P. Hill

Publisher:
Princeton University Press
DOI:10.23943/princeton/9780691163062.003.0003

In order to translate the informal versions of Benford's law into more precise formal statements, it is necessary to specify exactly what the Benford property means in various mathematical contexts. For the purpose of this book, the objects of interest fall mainly into three categories: sequences of real numbers, real-valued functions defined on [0,+ ∞), and probability distributions and random variables. This chapter defines Benford sequences, functions, and random variables, with examples of each.

Keywords:   Benford's law, Benford sequences, Benford functions, Benford distributions, random variables

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