Phi-divergence statistics for testing linear hypotheses in logistic regression models

dc.contributor.authorMenéndez Calleja, María Luisa
dc.contributor.authorPardo Llorente, Julio Ángel
dc.contributor.authorPardo Llorente, Leandro
dc.date.accessioned2023-06-20T09:42:24Z
dc.date.available2023-06-20T09:42:24Z
dc.date.issued2008
dc.description.abstractIn this paper we introduce and study two new families of statistics for the problem of testing linear combinations of the parameters in logistic regression models. These families are based on the phi-divergence measures. One of them includes the classical likelihood ratio statistic and the other the classical Pearson's statistic for this problem. It is interesting to note that the vector of unknown parameters, in the two new families of phi-divergence statistics considered in this paper, is estimated using the minimum phi-divergence estimator instead of the maximum likelihood estimator. Minimum phi-divergence estimators are a natural extension of the maximum likelihood estimator.
dc.description.departmentDepto. de Estadística e Investigación Operativa
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/17325
dc.identifier.doi10.1080/03610920701669710
dc.identifier.issn0361-0926
dc.identifier.officialurlhttp://www.tandfonline.com/doi/pdf/10.1080/03610920701669710
dc.identifier.relatedurlhttp://www.tandfonline.com/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/50219
dc.issue.number4
dc.journal.titleCommunications in statistics.Theory and methods
dc.language.isoeng
dc.page.final507
dc.page.initial494
dc.publisherTaylor & Francis
dc.relation.projectIDMTM2006-06872
dc.relation.projectIDUCM2006-910707
dc.rights.accessRightsrestricted access
dc.subject.cdu519.237
dc.subject.keywordGeneral linear hypotheses
dc.subject.keywordLogistic regression model
dc.subject.keywordMinimum phidivergence estimator
dc.subject.keywordPhi-divergence statistic
dc.subject.ucmEstadística matemática (Matemáticas)
dc.subject.unesco1209 Estadística
dc.titlePhi-divergence statistics for testing linear hypotheses in logistic regression models
dc.typejournal article
dc.volume.number37
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