Geodesic
Prohibitions in discrete probabilistic statistical problems
Diskretnaya Matematika, Tome 23 (2011) no. 2, pp. 53-58

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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”. 
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     author = {A. A. Grusho and E. E. Timonina},
     title = {Prohibitions in discrete probabilistic statistical problems},
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A. A. Grusho; E. E. Timonina. Prohibitions in discrete probabilistic statistical problems. Diskretnaya Matematika, Tome 23 (2011) no. 2, pp. 53-58. http://geodesic.mathdoc.fr/item/DM_2011_23_2_a3/