On tests of homogeneity based on minimum phi-divergence estimator with constraints
| dc.contributor.author | Menéndez Calleja, María Luisa | |
| dc.contributor.author | Pardo Llorente, Julio Ángel | |
| dc.contributor.author | Pardo Llorente, Leandro | |
| dc.contributor.author | Zografos, Konstantinos | |
| dc.date.accessioned | 2023-06-20T09:43:25Z | |
| dc.date.available | 2023-06-20T09:43:25Z | |
| dc.date.issued | 2003-06-28 | |
| dc.description.abstract | A family of tests of homogeneity of independent multinomial populations is introduced in terms of the phi(1)-divergence when the parameters are estimated using the minimum phi(2)-divergence estimator instead of the maximum likelihood estimator. A simulation study is presented to choose the best function phi(2) for estimation and the best function phi(1) for testing. A new test statistic is obtained, more powerful in some cases, than the existing tests for testing homogeneity in multinomial populations. | |
| dc.description.department | Depto. de Estadística e Investigación Operativa | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/17527 | |
| dc.identifier.doi | 10.1016/S0167-9473(02)00207-4 | |
| dc.identifier.issn | 0167-9473 | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S0167947302002074 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/50249 | |
| dc.issue.number | 2 | |
| dc.journal.title | Computational Statistics and Data Analysis | |
| dc.language.iso | eng | |
| dc.page.final | 234 | |
| dc.page.initial | 215 | |
| dc.publisher | Elsevier Science | |
| dc.relation.projectID | DGI BFM2000-0800. | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 519.237 | |
| dc.subject.keyword | Minimum phi-divergence estimator | |
| dc.subject.keyword | Homogeneity | |
| dc.subject.keyword | Multinomial populations | |
| dc.subject.keyword | phi-divergence statistic | |
| dc.subject.ucm | Estadística matemática (Matemáticas) | |
| dc.subject.unesco | 1209 Estadística | |
| dc.title | On tests of homogeneity based on minimum phi-divergence estimator with constraints | |
| dc.type | journal article | |
| dc.volume.number | 43 | |
| dcterms.references | Aitchison, J., 1962. Large-sample restricted parametric tests. J. Roy. Statist. Soc. Ser. B 24, 234–250. Aitchison, J., Silvey, S.D., 1958. Maximum-likelihood estimation of parameters subject to restraints. Ann. Math. Statist. 29, 813–828. Aitchison, J., Silvey, S.D., 1960. Maximum-likelihood estimation procedures and associated tests of signifcance. J. Roy. Statist. Soc. Ser. B 22, 154–171. Ali, S.M., Silvey, S.D., 1966. A general class of coefcients of divergence of one distribution from another. J. Roy. Statist. Soc. Ser. B 26, 131–142. Cressie, N., Read, T.R.C., 1984. Multinomial goodness-of-fit tests. J. Roy. Statist. Soc. Ser. B 46, 440–464. Csiszar, I., 1967. Information type measures of difference of probability distributions and indirect observations. Studia Sci. Mathem. Hungar. 2, 105–113. | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 5e051d08-2974-4236-9c25-5e14369a7b61 | |
| relation.isAuthorOfPublication | a6409cba-03ce-4c3b-af08-e673b7b2bf58 | |
| relation.isAuthorOfPublication.latestForDiscovery | 5e051d08-2974-4236-9c25-5e14369a7b61 |
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