Prohibitions in discrete probabilistic statistical problems
Alexander A. Grusho, Elena Evgen'evna Timonina · Discrete Mathematics and Applications · 2011
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.’