Divergence-based estimation and testing with misclassified data

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dc.contributor.authorLandaburu Jiménez, María Elena
dc.contributor.authorMorales González, Domingo
dc.contributor.authorPardo Llorente, Leandro
dc.date.accessioned2023-06-20T09:38:57Z
dc.date.available2023-06-20T09:38:57Z
dc.date.issued2005-07
dc.description.abstractThe well-known chi-squared goodness-of-fit test for a multinomial distribution is generally biased when the observations are subject to misclassification. In Pardo and Zografos (2000) the problem was considered using a double sampling scheme and phi-divergence test statistics. A new problem appears if the null hypothesis is not simple because it is necessary to give estimators for the unknown parameters. In this paper the minimum phi-divergence estimators are considered and some of their properties are established. The proposed phi-divergence test statistics are obtained by calculating phi-divergences between probability density functions and by replacing parameters by their minimum phi-divergence estimators in the derived expressions. Asymptotic distributions of the new test statistics are also obtained. The testing procedure is illustrated with an example
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/16459
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dc.identifier.doi10.1007/BF02762841
dc.identifier.issn0932-5026
dc.identifier.officialurlhttp://www.springerlink.com/content/j151063g0r87lg10/fulltext.pdf
dc.identifier.relatedurlhttp://www.springerlink.com/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/50109
dc.issue.number3
dc.journal.titleStatistical Papers
dc.language.isoeng
dc.page.final409
dc.page.initial397
dc.publisherSpringer Verlag
dc.relation.projectIDBMF2000-0800
dc.rights.accessRightsrestricted access
dc.subject.cdu519.24
dc.subject.keywordMisclassification
dc.subject.keywordDouble sampling
dc.subject.keywordDivergence estimators
dc.subject.keywordGoodness-of-fit tests
dc.subject.keywordDivergence statistics
dc.subject.ucmMuestreo (Estadística)
dc.subject.unesco1209.10 Teoría y Técnicas de Muestreo
dc.titleDivergence-based estimation and testing with misclassified data
dc.typejournal article
dc.volume.number46
dspace.entity.typePublication
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relation.isAuthorOfPublication.latestForDiscovery0cf1bfef-b105-422e-9f20-80ca13261ed7
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