Robust semiparametric inference for polytomous logistic regression with complex survey design

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dc.contributor.authorCastilla González, Elena María
dc.contributor.authorGhosh, Abhik
dc.contributor.authorMartín Apaolaza, Nirian
dc.contributor.authorPardo Llorente, Leandro
dc.date.accessioned2023-06-17T08:56:11Z
dc.date.available2023-06-17T08:56:11Z
dc.date.issued2020-11-23
dc.description.abstractAnalyzing polytomous response from a complex survey scheme, like stratified or cluster sampling is very crucial in several socio-economics applications. We present a class of minimum quasi weighted density power divergence estimators for the polytomous logistic regression model with such a complex survey. This family of semiparametric estimators is a robust generalization of the maximum quasi weighted likelihood estimator exploiting the advantages of the popular density power divergence measure. Accordingly robust estimators for the design effects are also derived. Using the new estimators, robust testing of general linear hypotheses on the regression coefficients are proposed. Their asymptotic distributions and robustness properties are theoretically studied and also empirically validated through a numerical example and an extensive Monte Carlo study
dc.description.departmentDepto. de Estadística e Investigación Operativa
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedFALSE
dc.description.sponsorshipMinisterio de Ciencia e Innovación (MICINN)
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/63284
dc.identifier.doi10.1007/s11634-020-00430-7
dc.identifier.issn1862-5347
dc.identifier.officialurlhttps://doi.org/10.1007/s11634-020-00430-7
dc.identifier.relatedurlhttps://link.springer.com/article/10.1007/s11634-020-00430-7
dc.identifier.urihttps://hdl.handle.net/20.500.14352/7580
dc.journal.titleAdvances in Data Analysis and Classification
dc.language.isoeng
dc.publisherSpringer
dc.relation.projectID(PGC2018-005194-B-100; FPU16/0314)
dc.rights.accessRightsopen access
dc.subject.cdu311
dc.subject.keywordCluster sampling
dc.subject.keywordDesign effect
dc.subject.keywordMinimum quasi weighted DPD estimator
dc.subject.keywordPolytomous logistic regression model
dc.subject.keywordPseudo minimum phi-divergence estimator
dc.subject.keywordQuasi-likelihood
dc.subject.keywordRobustness
dc.subject.keywordRegresión lineal
dc.subject.ucmEstadística
dc.subject.ucmEstadística matemática (Estadística)
dc.subject.unesco1209 Estadística
dc.subject.unesco1209 Estadística
dc.titleRobust semiparametric inference for polytomous logistic regression with complex survey design
dc.typejournal article
dspace.entity.typePublication
relation.isAuthorOfPublication9a67ded0-2436-44f5-bdc9-07033ae6f956
relation.isAuthorOfPublication1705b043-bb96-4d44-8e13-1c2238cf1717
relation.isAuthorOfPublicationa6409cba-03ce-4c3b-af08-e673b7b2bf58
relation.isAuthorOfPublication.latestForDiscovery9a67ded0-2436-44f5-bdc9-07033ae6f956
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