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Barbour, A D (1992). On the binary expansion of a random integer. Statistics and Probability Letters, 14(3):235-241.

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Abstract

It is shown that the distribution of the number of ones in the binary expansion of an integer chosen uniformly at random from the set 0, 1,…, n − 1 can be approximated in total variation by a mixture of two neighbouring binomial distributions, with error of order (log n)−1. The proof uses Stein's method.

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
DDC:510 Mathematics
Uncontrolled Keywords:Random integer; binary expansion; Stein's method; binomial mixtures
Language:English
Date:1992
Deposited On:12 Apr 2010 17:06
Last Modified:27 Nov 2013 22:49
Publisher:Elsevier
ISSN:0167-7152
Free access at:Related URL. An embargo period may apply.
Publisher DOI:10.1016/0167-7152(92)90028-4
Related URLs:http://user.math.uzh.ch/barbour/pub/Barbour/BChen_Binary.pdf (Author)
Citations:Web of Science®. Times Cited: 2
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