Significant Testing in Nonparametric Regression based on the Bootstrap

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dc.contributor.author Delgado, Miguel A.
dc.contributor.author González-Manteiga, Wenceslao
dc.date.accessioned 2009-04-13T12:58:35Z
dc.date.available 2009-04-13T12:58:35Z
dc.date.issued 2001
dc.identifier.bibliographicCitation Annals of Statistics, 2001, vol. 29, p. 1469-1507
dc.identifier.issn 00905364
dc.identifier.uri http://hdl.handle.net/10016/2392
dc.description.abstract This paper proposes a test for selecting explanatory variables in nonparametric regression. The test does not need to estimate the conditional expectation function given al the variables, butonly those which are significant under the null hypothesis. This feature is computationally convenient and solves,in part the problem of the "curse of dimensionality" When seleccting regressors in a nonparametric context. The proposed test statistic is based on functional of a U-process. Contiguous alternatives, converging to the null at a rate n-1/2 can be detected. The asympotetic null distribution of the statistic depends on certain features of the data generating process, and asymptotic tests are difficult to implement except in rare circunstantces. We justify the consistency of two easy to implement bootstrap tests which exhibit good level accuracy for fairly small samples, according to the reported Monte Carlo simulation. These result are also applicable to test other interesting restictions on nonparametric curves, like partial linearity and conditional independence.
dc.format.mimetype text/plain
dc.format.mimetype application/pdf
dc.language.iso eng
dc.publisher Institute of Mathematical Statistics
dc.subject.other Nonparametric regression
dc.subject.other Selection of variables
dc.subject.other Higher order Kernels
dc.subject.other U-processs
dc.subject.other Wild boostrap
dc.subject.other Restrictions on nonparametric curves
dc.title Significant Testing in Nonparametric Regression based on the Bootstrap
dc.type article
dc.type.review PeerReviewed
dc.description.status Publicado
dc.relation.publisherversion http://www.jstor.org/stable/2699997
dc.subject.eciencia Economía
dc.rights.accessRights openAccess
dc.type.version publishedVersion
dc.identifier.publicationfirstpage 1469
dc.identifier.publicationlastpage 1507
dc.identifier.publicationvolume 29
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