From Uniform Distributions to Benford's Law
Janvresse, Elise ; De La Rue, Thierry
HAL, hal-00373367 / Harvested from HAL
Text on HAL
We provide a new probabilistic explanation for the appearance of Benford's law in everyday-life numbers, by showing that it arises naturally when we consider mixtures of uniform distributions. Then we connect our result to the theorem of B. J. Flehinger (``On the probability that a random integer has initial digit A", {\em Amer. Math. Monthly}, 73:1056--1061, 1966), for which we provide a shorter proof and a speed of convergence.
Publié le : 2004-07-05
Classification:  Benford's law,  first-digit law,  mantissa,  uniform distribution,  coupling method,  60J10, 11K99,  [MATH.MATH-PR]Mathematics [math]/Probability [math.PR] 
@article{hal-00373367,
     author = {Janvresse, Elise and De La Rue, Thierry},
     title = {From Uniform Distributions to Benford's Law},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00373367}
}

Janvresse, Elise; De La Rue, Thierry. From Uniform Distributions to Benford's Law. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00373367/