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https://elib.bsu.by/handle/123456789/52037| Title: | Ew inequalities for the binomial law and for the total variation distance between iid samples |
| Authors: | Zubkov, A. M. |
| Keywords: | ЭБ БГУ::ЕСТЕСТВЕННЫЕ И ТОЧНЫЕ НАУКИ::Кибернетика |
| Issue Date: | 2013 |
| Publisher: | Minsk : Publ. center of BSU |
| Citation: | Computer Data Analysis and Modeling: Theoretical and Applied Stochastics : Proc. of the Tenth Intern. Conf., Minsk, Sept. 10–14, 2013. Vol 2. — Minsk, 2013. - P. 48-50 |
| Abstract: | Two new inequalities are presented. The first one may be called a pre-limit form of the Moivre-Laplace theorem; for example, it permits for any quantile of any binomial law to find an interval of length 1 containing this quantile. The second inequality improves upper bound for the total variation distance between two samples from discrete distributions; it may be used to estimate the necessary sample size for testing two simple hypothesis. Proofs of these inequalities are short. |
| URI: | http://elib.bsu.by/handle/123456789/52037 |
| Appears in Collections: | 2013. Computer Data Analysis and Modeling. Vol 2 Vol. 2 |
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