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Licensed Unlicensed Requires Authentication Published by De Gruyter July 15, 2011

Prohibitions in discrete probabilistic statistical problems

A. A. Grusho and E. E. Timonina
From the journal

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.’

Received: 2010-12-13
Published Online: 2011-07-15
Published in Print: 2011-July

© de Gruyter 2011

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