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Phi-divergences and polytomous logistic regression models: An overview

dc.contributor.authorGupta, Arjun K.
dc.contributor.authorPardo Llorente, Leandro
dc.date.accessioned2023-06-20T09:44:07Z
dc.date.available2023-06-20T09:44:07Z
dc.date.issued2007-11-01
dc.descriptionSpecial Issue: In Celebration of the Centennial of The Birth of Samarendra Nath Roy (1906-1964)
dc.description.abstractIn this paper we assume that the categorical data are distributed according to a multinomial distribution whose probabilities follow a polytomous logistic regression model and we present some inferential results based on minimum phi-divergence estimators as well as phi-divergence test statistics.
dc.description.departmentDepto. de Estadística e Investigación Operativa
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipDGI
dc.description.sponsorshipUCM
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/17619
dc.identifier.doi10.1016/j.jspi.2007.03.028
dc.identifier.issn0378-3758
dc.identifier.officialurlhttp://www.sciencedirect.com/science/article/pii/S0378375807001139
dc.identifier.relatedurlhttp://www.sciencedirect.com/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/50270
dc.issue.number11
dc.journal.titleJournal of statistical planning and inference
dc.language.isoeng
dc.page.final3524
dc.page.initial3513
dc.publisherElsevier Science BV.
dc.relation.projectIDMTM2006-06872
dc.relation.projectIDUCM2006-910707
dc.rights.accessRightsrestricted access
dc.subject.cdu519.2
dc.subject.keywordmultinomial sampling
dc.subject.keyworddimensionality reduction
dc.subject.keywordkullback-leibler divergence
dc.subject.keywordphi-divergence test statistic
dc.subject.ucmEstadística matemática (Matemáticas)
dc.subject.unesco1209 Estadística
dc.titlePhi-divergences and polytomous logistic regression models: An overview
dc.typejournal article
dc.volume.number137
dcterms.referencesAndersen, E.B., 1994. The Statistical Analysis of Categorical Data. Springer, NewYork. Cressie, N., Pardo, L., Pardo, M.C., 2003. Size and power considerations for testing loglinear models using phi-divergence test statistics. Statist. Sinica 13, 550–570. Gupta, A.K., Kasturiratna, D., Nguyen, T., Pardo, L., 2006a. Anewfamily of BANestimators in politomous regression models based on phi-divergence measures. Statist. Meth. Appl. 15 (2), 159–176. Gupta, A.K., Nguyen, T., Pardo, L., 2006b. Some inference procedures in polytomous logistic regression models based on phi-divergences measures. Math. Methods Statist. 15 (3), 269–288. Gupta, A.K., Nguyen, T., Pardo, L., 2007. Residual for polytomous logistic regression models based on phi-divergences test statistics. Statistics, in press. Lesaffre, E., Albert, A., 1989. Multiple-group logistic regression diagnostic. Appl. Statist. 38, 425–440. Liu, A., Agresti, A., 2005. The analysis of categorical data: an overview and a survey of recent developments. Test 14 (1), 1–74. Pardo, J.A., Pardo, L., Zografos, K., 2002. Minimum phi-divergence estimator with constraints in multinomial populations. J. Statist. Plann. Inference 104, 221–237. Pardo, J.A., Pardo, L., Pardo, M.C., 2005. Minimum phi-divergence estimator in logistic regression model. Statist. Papers 47, 91–108. Pardo, J.A., Pardo, L., Pardo, M.C., 2006. Testing in logistic regression models based on phi-divergence measures. J. Statist. Plann. Inference 136, 982–1006. Pardo, L., 2006. Statistical Inference Based on Divergence Measures. Statistics: Textbooks and Monographs. Chapman & Hall, CRC, NewYork.
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relation.isAuthorOfPublication.latestForDiscoverya6409cba-03ce-4c3b-af08-e673b7b2bf58

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