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A bootstrap test for single index models

dc.contributor.authorHärdle, Wolfgang
dc.contributor.authorMammen, Enno
dc.contributor.authorProença, Isabel
dc.date.accessioned2023-08-04T15:54:56Z
dc.date.available2023-08-04T15:54:56Z
dc.date.issued2001
dc.description.abstractSingle index model are frequently used econometrics and biometrics. Logit and Probit models are special cases with fixed link functions. in this paper we consider a bootstrap specification test that detects nonparametric deviations of the link function. The bootstrap is used with the aim to find a more accurate distribution under the null than the normal approximation. We prove that the statistic and the statistic and its bootstrapped version have the same asymptotic distribution. In a simulation study we show that the bootstrap is able to capture the negative bias and the skewness of the test statistic. It yields better approximations to the true critical values and consequently it has accurate level than the normal approximation.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationHärdle, Wolfgang, Enno Mammen and Isabel Proenca .(2001). “ A bootstrap test for single index models”. Statistics: A Journal of Theoretical and Applied Statistics, Vol. 35, No. 4: pp. 427-451. DOI: 10.1080/02331880108802746. (Search PDF in 2023).pt_PT
dc.identifier.doi10.1080/02331880108802746pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.5/28082
dc.language.isoengpt_PT
dc.publisherTaylor & Francispt_PT
dc.subjectBootstrappt_PT
dc.subjectKernel Estimatept_PT
dc.subjectSingle Index Model Specification Testpt_PT
dc.titleA bootstrap test for single index modelspt_PT
dc.typejournal article
dspace.entity.typePublication
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT

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