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|Title:||On the binary expansion of a random integer|
|Source:||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|
|Appears in Collections:||Staff Publications|
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