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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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Scale-, Base-, and Sum-lnvariance

Scale-, Base-, and Sum-lnvariance

Chapter:
(p.63) Chapter Five Scale-, Base-, and Sum-lnvariance
Source:
An Introduction to Benford's Law
Author(s):

Arno Berger

Theodore P. Hill

Publisher:
Princeton University Press
DOI:10.23943/princeton/9780691163062.003.0005

This chapter establishes and illustrates three basic invariance properties of the Benford distribution that are instrumental in demonstrating whether or not certain datasets are Benford, and that also prove helpful for predicting which empirical data are likely to follow Benford's law closely. These are the scale-invariance property, base-invariance property, and sum-invariance property.

Keywords:   Benford's law, scale-invariance property, base-invariance property, sum-invariance property, Benford distribution

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