A unifying probabilistic interpretation of Benford’s Law (joint work with Elise Janvresse (Rouen))
نویسنده
چکیده
Abstract : We propose a probabilistic interpretation of Benford’s law, which predicts the probability distribution of all digits in everyday-life numbers. Heuristically, our point of view consists in considering an everyday-life number as a continuous random variable taking value in an interval [0, A], whose maximum A is itself an everydaylife number. This approach can be linked to the characterization of Benford’s law by scale-invariance, as well as to the convergence of a product of independent random variables to Benford’s law. It also allows to generalize Flehinger’s result about the convergence of iterations of Cesaro-averages to Benford’s law.
منابع مشابه
A Unifying Probabilistic Interpretation of Benford’s Law
We propose a probabilistic interpretation of Benford’s law, which predicts the probability distribution of all digits in everyday-life numbers. Heuristically, our point of view consists in considering an everyday-life number as a continuous random variable taking value in an interval [0, A], whose maximum A is itself an everyday-life number. This approach can be linked to the characterization o...
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