By Arno Berger,Theodore P. Hill
This booklet offers the 1st entire therapy of Benford's legislations, the miraculous logarithmic distribution of vital digits stumbled on within the past due 19th century. constructing the mathematical and statistical rules that underpin this interesting phenomenon, the textual content combines up to date theoretical effects with overviews of the law’s colourful historical past, quickly starting to be physique of empirical facts, and wide variety of applications.
An advent to Benford’s Law starts with uncomplicated evidence approximately major digits, Benford features, sequences, and random variables, together with instruments from the speculation of uniform distribution. After introducing the scale-, base-, and sum-invariance characterizations of the legislations, the publication develops the significant-digit houses of either deterministic and stochastic approaches, equivalent to iterations of services, powers of matrices, differential equations, and items, powers, and combos of random variables. concluding chapters survey the finitely additive thought and the flourishing functions of Benford’s law.
Carefully chosen diagrams, tables, and shut to one hundred fifty examples light up the most options all through. The textual content contains many open difficulties, as well as dozens of latest uncomplicated theorems and all of the major references. A distinguishing function is the emphasis at the astonishing ubiquity and robustness of the significant-digit legislations. this article can function either a chief reference and a foundation for seminars and courses.
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Extra resources for An Introduction to Benford's Law
An Introduction to Benford's Law by Arno Berger,Theodore P. Hill