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JOURNALS // Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography] // Archive

Mat. Vopr. Kriptogr., 2015 Volume 6, Issue 4, Pages 49–64 (Mi mvk167)

Asymptotically optimal criteria for testing hypotheses on the distribution of a random vector. II

A. V. Ivanov

National Research University "Higher School of Economics", Moscow

Abstract: Asymptotically optimum criteria for testing two simple hypotheses on the vector parameters of the distribution of discrete noise in the combined semicontinuous communication channel are constructed. A probabilistic characteristics of these criteria (in particular, asymptotically minimal sample size guaranteeing the given values of error probabilities of two kinds) are obtained. It is shown that the minimal sample size depends on the relations between the channel patameters.

Key words: asymptotically optimal criterion, combined semicontinuous communication channel, asymptotically minimal sample size.

UDC: 519.233.3

Received 20.IV.2015

DOI: 10.4213/mvk167



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