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https://scholarbank.nus.edu.sg/handle/10635/103772
| 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 | URI: | http://scholarbank.nus.edu.sg/handle/10635/103772 | ISSN: | 01677152 |
| Appears in Collections: | Staff Publications |
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