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On measures of uniformly distributed sequences and Benford's law

โœ Scribed by Peter Schatte


Publisher
Springer Vienna
Year
1989
Tongue
English
Weight
477 KB
Volume
107
Category
Article
ISSN
0026-9255

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Let Y1, Y2, ... be a sequence of random variables 8nd let J i n be the floating-point mantissa of Y,,. Further let l f ~, ~) ( , ) denote the indicator function of the interval [I, x). If Yn/n-Z as.. wheteZ+O is 5 fnrther random variable, then the seqirence i~~,z#3fn) converges a s . to log x in the