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Title: On the binary expansion of a random integer
Authors: Barbour, A.D.
Chen, L.H.Y. 
Keywords: binary expansion
binomial mixtures
Random integer
Stein's method
Issue Date: 24-Jun-1992
Citation: Barbour, A.D.,Chen, L.H.Y. (1992-06-24). On the binary expansion of a random integer. Statistics and Probability Letters 14 (3) : 235-241. ScholarBank@NUS Repository.
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. © 1992.
Source Title: Statistics and Probability Letters
ISSN: 01677152
Appears in Collections:Staff Publications

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