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math.PR2013
How fast increasing powers of a continuous random variable converge to Benford's law
Michał Ryszard Wójcik
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 e…
math.PR2013★ 2 cited
Notes on scale-invariance and base-invariance for Benford's Law
Michał Ryszard Wójcik
It is known that if X is uniformly distributed modulo 1 and Y is an arbitrary random variable independent of X then Y+X is also uniformly distributed modulo 1. We prove a converse…