On Optimality of Stepdown and Stepup Multiple Test Procedures

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Consider the multiple testing problem of testing k null hypotheses, where the unknown family of distributions is assumed to satisfy a certain monotonicity assumption. Attention is restricted to procedures that control the familywise error rate in the strong sense and which satisfy a monotonicity condition. Under these assumptions, we prove certain maximin optimality results for some well-known stepdown and stepup procedures.
Published at http://dx.doi.org/10.1214/009053605000000066 in the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)

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Statistics Theory, 62J15 (Primary) 62F03. (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/130814

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0507417
 http://arxiv.org/abs/math/0507417
 Annals of Statistics 2005, Vol. 33, No. 3, 1084-1108
 doi:10.1214/009053605000000066

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