Student's t-test without symmetry conditions

dc.creatorPinelis, Iosif
dc.date2006-06-07
dc.date.accessioned2026-07-07T08:07:53Z
dc.date.available2026-07-07T08:07:53Z
dc.descriptionAn explicit representation of an arbitrary zero-mean distribution as the mixture of (at-most-)two-point zero-mean distributions is given. Based in this representation, tests for (i) asymmetry patterns and (ii) for location without symmetry conditions can be constructed. Exact inequalities implying conservative properties of such tests are presented. These developments extend results established earlier by Efron, Eaton, and Pinelis under a symmetry condition.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/math/0606160
dc.identifierhttp://arxiv.org/abs/math/0606160
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131083
dc.subjectStatistics Theory
dc.subjectProbability
dc.subjectPrimary: 62G10, 62G15, 62F03, 62F25, 60E05, 60E15; Secondary: 62G35, 62G09, 60G50
dc.titleStudent's t-test without symmetry conditions
dc.typetext

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