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Limit laws and mantissa distributions

Sharpe M.

Probability and Mathematical Statistics

2006

Vol. 26, Fasc. 1

175--185

There are two main parts to the paper, both connected to Benford’s Law. In the first, we present a generalization of the averaging theorem of Flehinger. In the second, we study the connection between multiplicative infinite divisibility and Benford’s Law, ending with a variant of the Lindeberg-Feller theorem that describes a rather specific triangular array model leading to Benford behavior.