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JOURNALS // Teoriya Veroyatnostei i ee Primeneniya // Archive
Teor. Veroyatnost. i Primenen., 2019 Volume 64, Issue 3, Pages 552–565 (Mi tvp5268)
The estimate of $\chi^2$-distance between binomial and generalized binomial distributions

V. Zacharovas

Institute of Computer Science, Vilnius University, Vilnius, Lithuania

Abstract: We obtain an estimate of the difference between binomial and generalized binomial distributions with respect to the $\chi^2$-metric and several other related metrics.

Keywords: binomial distribution, independent indicator, $\chi^2$-distance, Parseval identity.

Received: 01.06.2018
Revised: 20.02.2019
Accepted: 12.02.2019

DOI: 10.4213/tvp5268


 English version: Theory of Probability and its Applications, 2019, 64:3, 444–455

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