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

Michał Ryszard Wójcik

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arXiv · 1307.5767

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

Michał Ryszard Wójcik

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Abstract

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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BibTeX RIS

Michał Ryszard Wójcik. 2013-07-22. How fast increasing powers of a continuous random variable converge to Benford's law. https://arxiv.org/abs/1307.5767

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