Defect of the size of nonrandomized test and randomization effect on decreasing of the necessary sample size in testing the bernoulli success probability

dc.contributor.author	Zaikin A.
dc.date.accessioned	2018-09-18T20:32:08Z
dc.date.available	2018-09-18T20:32:08Z
dc.date.issued	2015
dc.identifier.issn	0040-585X
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/140886
dc.description.abstract	© 2015 Society for Industrial and Applied Mathematics. Several problems of testing the Bernoulli success probability are considered. The upper asymptotic (n → ∞) bound for power defect of nonrandomized test is established. The difference between necessary samples sizes of the most powerful (randomized) test and the most powerful test in the class of nonrandomized tests is asymptotically estimated. Three known formulas for the necessary sample size are numerically compared. Modifications of these formulas are proposed to obtain better precision.
dc.relation.ispartofseries	Theory of Probability and its Applications
dc.subject	Asymptotics of a necessary sample size
dc.subject	Binomial distribution
dc.subject	Close hypotheses
dc.subject	Defect of the size of a nonrandomized test
dc.subject	Kornish–Fisher expansion
dc.subject	Randomization effect
dc.title	Defect of the size of nonrandomized test and randomization effect on decreasing of the necessary sample size in testing the bernoulli success probability
dc.type	Article
dc.relation.ispartofseries-issue	3
dc.relation.ispartofseries-volume	59
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	466
dc.source.id	SCOPUS0040585X-2015-59-3-SID84940668606

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