Asymptotically optimal criteria for testing parametric hypothesis on the distribution of a random vector. I. (Russian. English summary) Zbl 1476.62048

Ivanov, A. V.

Mat. Vopr. Kriptografii 6, No. 3, 89-116 (2015).

Summary: We construct asymptotically optimal criteria for testing two simple hypotheses on the scalar parameter of discrete noise in a combined semicontinuos communication channel for the triangular scheme. Probabilistic characteristics of these criteria are obtained (in particular, asymptotics of the minimal sample size for given error probabilities of two kinds). It is shown that the minimal sample size depends essentially on the channel parameters.
For Part II, see [the author, ibid. 6, No. 4, 49–64 (2015; Zbl 1476.62049)].

MSC:

62F03	Parametric hypothesis testing
94A05	Communication theory

Keywords:

combined semicontinuos communication channel; asymptotically optimum criteria; triangular scheme; asymptotically minimal sample size

Citations:

Zbl 1476.62049

References:

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