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Lower bounds for expected sample size of sequential procedures for the multinomial selection problems
Authors:Iskander Kareev
Affiliation:Kazan Federal University, Department of Mathematical Statistics, Institute of Computational Mathematics and Information Technologies, Kazan, Russia
Abstract:In this article, lower bounds for expected sample size of sequential selection procedures are constructed for the problem of selecting the most probable event of k-variate multinomial distribution. The study is based on Volodin’s universal lower bounds for expected sample size of statistical inference procedures. The obtained lower bounds are used to estimate the efficiency of some selection procedures in terms of their expected sample sizes.
Keywords:Efficiency  Expected sample size  Indifference zone  Lower bound  Multinomial selection  Sequential procedure
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