# On Two-stage Logarithmically Asymptotically Optimal Testing of Multiple Hypotheses Concerning Distributions from the Pair of Families

## Keywords:

Logarithmically asymptotically optimal (LAO) test, reliabilities matrix, error probability exponent## Abstract

Two-stage testing of multiple hypotheses for a model with two given families of hypothetical probability distributions is considered. The matrix of reliabilities of logarithmically asymptotically optimal hypotheses testing by a pair of stages is studied and compared with the case of similar one-stage testing.

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*Mathematical Problems of Computer Science*,

*37*, 25–34. Retrieved from http://mpcs.sci.am/index.php/mpcs/article/view/247

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