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JOURNALS // Diskretnaya Matematika // Archive

Diskr. Mat., 1997 Volume 9, Issue 3, Pages 43–51 (Mi dm480)

This article is cited in 1 paper

On a randomized approach to the construction of tests for the equiprobability of outcomes of a multinomial scheme

A. S. Ambrosimov, A. N. Timashev


Abstract: We consider the most powerful test and the $\chi^2$ test for verifying equiprobability of the outcomes of multinomial scheme in the case where the alternative distribution is obtained by averaging all non-equiprobable multinomial distributions with $N$ outcomes over the symmetric $(N-1)$-dimensional Dirichlet distribution. Limit theorems on the convergence of the distributions of the test statistics under both of the hypotheses are proved.

UDC: 519.2

Received: 25.10.1995
Revised: 05.07.1996

DOI: 10.4213/dm480


 English version:
Discrete Mathematics and Applications, 1997, 7:4, 399–407

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