Efficient three-stage $t$-tests

dc.creatorBartroff, Jay
dc.date2006-11-22
dc.date.accessioned2026-07-07T08:08:25Z
dc.date.available2026-07-07T08:08:25Z
dc.descriptionThree-stage $t$-tests of separated one-sided hypotheses are derived, extending Lorden's optimal three-stage tests for the one-dimensional exponential family by using Lai and Zhang's generalization of Schwarz's optimal fully-sequential tests to the multiparameter exponential family. The resulting three-stage $t$-tests are shown to be asymptotically optimal, achieving the same average sample size as optimal fully-sequential tests.
dc.descriptionPublished at http://dx.doi.org/10.1214/074921706000000626 in the IMS Lecture Notes--Monograph Series (http://www.imstat.org/publications/lecnotes.htm) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/math/0611683
dc.identifierhttp://arxiv.org/abs/math/0611683
dc.identifierIMS Lecture Notes--Monograph Series 2006, Vol. 50, 105-111
dc.identifierdoi:10.1214/074921706000000626
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131260
dc.subjectStatistics Theory
dc.subject62F05 (Primary) 62L10 (Secondary)
dc.titleEfficient three-stage $t$-tests
dc.typetext

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