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: | 23 Nov 2012 15:11 |
| 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) |
| WoS Citation Count: | 1 |
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