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Prohibitions in discrete probabilistic statistical problems

Prohibitions in discrete probabilistic statistical problems 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.’’ http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Discrete Mathematics and Applications de Gruyter

Prohibitions in discrete probabilistic statistical problems

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References (5)

Publisher
de Gruyter
Copyright
©© de Gruyter 2011
ISSN
0924-9265
eISSN
1569-3929
DOI
10.1515/DMA.2011.016
Publisher site
See Article on Publisher Site

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.’’

Journal

Discrete Mathematics and Applicationsde Gruyter

Published: Jul 1, 2011

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