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JOURNALS // Teoriya Veroyatnostei i ee Primeneniya // Archive

Teor. Veroyatnost. i Primenen., 1974 Volume 19, Issue 4, Pages 839–844 (Mi tvp3986)

This article is cited in 5 papers

Short Communications

Wating time and testing hypotheses in a multinomial scheme

G. I. Ivchenko

Moscow

Abstract: There are two hypotheses about probabilities $p_1,\dots,p_N$ in a multinomial scheme. These hypotheses are approaching each other as $N$ increases. To distinguish between them, statistical tests based on $\nu_m(k)$ are considered, where $\nu_m(k)$ is the number of trials after which $k$ cells will contain for the first time more than $m$ particles each.

Received: 27.09.1973


 English version:
Theory of Probability and its Applications, 1975, 19:4, 807–812

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