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Testing in logistic regression models based on phi-divergences measures

dc.contributor.authorPardo Llorente, Julio Ángel
dc.contributor.authorPardo Llorente, Leandro
dc.contributor.authorPardo Llorente, María del Carmen
dc.date.accessioned2023-06-20T09:42:59Z
dc.date.available2023-06-20T09:42:59Z
dc.date.issued2006
dc.description.abstractIn this paper, we consider inference based on very general divergence measures under assumptions of a logistic regression model. We use the minimum phi-divergence estimator in a phi-divergence statistic, which is the basis of some new statistics, for solving the classical problems of testing in a logistic regression model. A diagnostic analysis is developed based on the new estimators and test statistics.
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/17476
dc.identifier.doi10.1016/j.jspi.2004.08.008
dc.identifier.issn0378-3758
dc.identifier.officialurlhttp://www.sciencedirect.com/science/article/pii/S0378375804003441
dc.identifier.relatedurlhttp://www.sciencedirect.com
dc.identifier.urihttps://hdl.handle.net/20.500.14352/50237
dc.issue.number3
dc.journal.titleJournal of Statistical Planning and Inference
dc.language.isoeng
dc.page.final1006
dc.page.initial982
dc.publisherElsevier Science
dc.relation.projectIDDGI (BMF2003-00892)
dc.rights.accessRightsrestricted access
dc.subject.cdu519.22
dc.subject.keywordLogistic regression model
dc.subject.keywordphi-divergence measure
dc.subject.keywordGoodness-of-fit tests
dc.subject.keywordModel diagnostics
dc.subject.ucmEstadística matemática (Matemáticas)
dc.subject.unesco1209 Estadística
dc.titleTesting in logistic regression models based on phi-divergences measures
dc.typejournal article
dc.volume.number136
dcterms.referencesAgresti, A., 1996. An Introduction to Categorical Data Analysis,Wiley, NewYork. Ali, S.M., Silvey, S.D., 1966.A general class of coefficients of divergence of one distribution from another. J. Roy. Statist. Soc. Ser. B 28, 131–142. Belsley, D.A., Kuh, E., Welsch, R.E., 1980. Regression Diagnostics: Identifying Influential Data and Sources of Collinearity,Wiley, NewYork. Brown, C.C., 1982. On a goodness-of-fit test for logistic model based on score statistics. Commun. Statist. 11,1087–1105. Cook, R.D., 1977. Detection of influential observations in linear regression. Technometrics 19, 15–18. Cook, R.D.,Weisberg, S., 1982. Residuals and Influence in Regression, Chapman and Hall, NewYork. Cox, D.R., Snell, E.J., 1989. Analysis of Binary Data, Chapman and Hall, NewYork. Cressie, N., Read, T.R.C., 1984. Multinomial goodness-of- it tests. J. Roy. Statist. Soc. Ser. B 46, 440–464. Csiszár, I., 1963. Eine Informationtheorestiche Ungleichung und ihre Anwendung anf den Beweis der Ergodizität Markoffshen Ketten. Publ. Math. Inst. Hungarian Acad. Sci. Ser. A 8, 84–108. Dale, J.R., 1986. Asymptotic normality of goodness-of-fit statistics for sparse product multinomials. J. Roy. Statist. Soc. Ser. B 41, 48–59. Jennings, D.E., 1986. Judging inference adequacy in Logistic regression. J. Amer. Statist. Assoc. 81 (396),987–990. Kleinbaum, D.G.,Kupper, L.L., Muller, K.E., 1987. Applied RegressionAnalysis and other Multivariable Methods, PWS-Kent, Boston. Kullback, S., 1985. Kullback information. In: Kotz, S., Johnson, N.L. (Eds.), Encyclopedia of Statistical Sciences, Vol. 4.Wiley, NewYork, pp. 421–425.
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relation.isAuthorOfPublication.latestForDiscovery5e051d08-2974-4236-9c25-5e14369a7b61

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