Testing predictor contributions in sufficient dimension reduction

dc.creatorCook, R. Dennis
dc.date2004-06-25
dc.date.accessioned2026-07-07T08:06:23Z
dc.date.available2026-07-07T08:06:23Z
dc.descriptionWe develop tests of the hypothesis of no effect for selected predictors in regression, without assuming a model for the conditional distribution of the response given the predictors. Predictor effects need not be limited to the mean function and smoothing is not required. The general approach is based on sufficient dimension reduction, the idea being to replace the predictor vector with a lower-dimensional version without loss of information on the regression. Methodology using sliced inverse regression is developed in detail.
dc.identifierhttps://arxiv.org/abs/math/0406520
dc.identifierhttp://arxiv.org/abs/math/0406520
dc.identifierAnnals of Statistics 2004, Vol. 32, No. 3, 1062-1092
dc.identifierdoi:10.1214/009053604000000292
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130589
dc.subjectStatistics Theory
dc.subject62G08 (Primary) 62G09,62H05. (Secondary)
dc.titleTesting predictor contributions in sufficient dimension reduction
dc.typetext

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