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math.PR2006★ 24 cited
The Modulo 1 Central Limit Theorem and Benford's Law for Products
Steven J. Miller, Mark J. Nigrini
We derive a necessary and sufficient condition for the sum of M independent continuous random variables modulo 1 to converge to the uniform distribution in L^1([0,1]), and discuss…
math.PR2006★ 24 cited
Order Statistics and Benford's Law
Steven J. Miller, Mark. J. Nigrini
Fix a base B and let zeta have the standard exponential distribution; the distribution of digits of zeta base B is known to be very close to Benford's Law. If there exists a C such…