How fast increasing powers of a continuous random variable converge to Benford’s law

It is known that increasing powers of a continuous random variable converge in distribution to Benford’s law as the exponent approaches infinity. The rate of convergence has been estimated using Fourier analysis, but we present an elementary method, which is easier to apply and provides a better estimation in the widely studied case of a uniformly distributed random variable.

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Year of publication:	2013
Authors:	Wójcik, Michał Ryszard
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 83.2013, 12, p. 2688-2692
Publisher:	Elsevier
Subject:	Benford’s law \| Uniform distribution modulo 1 \| Mantissa distribution \| Significand distribution \| Fourier coefficients

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011040121