This article is cited in 22 papers

Prohibitions in discrete probabilistic statistical problems

A. A. Grusho, E. E. Timonina


Abstract: In this paper, we continue our studies concerning consistent sequences of tests in discrete probabilistic statistical schemes.
We introduce the concept of a “prohibition” in a discrete probabilistic scheme and give a series of examples where “prohibitions” arise.
In statistical problems, tests exist whose critical sets are completely determined by means of “prohibitions”. We find necessary and sufficient conditions for existence of consistent sequences of tests in discrete schemes where all critical sets are defined by means of “prohibitions”.

UDC: 519.7

Received: 13.12.2010

DOI: 10.4213/dm1140

 English version: Discrete Mathematics and Applications, 2011, 21:3, 275–281

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