Goodness-of-fit tests based on K-phi-divergence
| dc.contributor.author | Pérez, Teresa | |
| dc.contributor.author | Pardo Llorente, Julio Ángel | |
| dc.date.accessioned | 2023-06-20T17:07:24Z | |
| dc.date.available | 2023-06-20T17:07:24Z | |
| dc.date.issued | 2003 | |
| dc.description.abstract | In this paper a new family of statistics based on K-phi-divergence for testing goodness-of-fit under composite null hypotheses axe considered. The asymptotic distribution of this test is obtained when the unspecified parameters axe estimated by maximum likelihood as well as minimum K-phi-divergence. | |
| 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/17724 | |
| dc.identifier.issn | 0023-5954 | |
| dc.identifier.officialurl | http://www.kybernetika.cz/content/2003/6/739 | |
| dc.identifier.relatedurl | http://www.kybernetika.cz/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57806 | |
| dc.issue.number | 6 | |
| dc.journal.title | Kybernetika | |
| dc.language.iso | eng | |
| dc.page.final | 752 | |
| dc.page.initial | 739 | |
| dc.publisher | Kybernetika | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 519.234 | |
| dc.subject.keyword | K-phi-divergence | |
| dc.subject.keyword | goodness-of-fit | |
| dc.subject.keyword | minimum K-phi-divergence estimate | |
| dc.subject.ucm | Estadística matemática (Matemáticas) | |
| dc.subject.unesco | 1209 Estadística | |
| dc.title | Goodness-of-fit tests based on K-phi-divergence | |
| dc.type | journal article | |
| dc.volume.number | 39 | |
| dcterms.references | N. W. Birch: A new proof of the Pearson-Fisher theorem. Ann. Math. Statist. 55(1964),817-824. Y. M. M. Bishop, S. E. Fienberg, and P. W. Holland: Discrete Multivariate Analysis: Theory and Practice. MIT Press, Cambridge, MA 1975. J. Burbea: J-divergences and related topics. Encyclopedia Statist. Sci. 44 (1983), 290-296. J. Burbea and C. R. Rao: On the convexity of some divergence measures based on entropy functions. IEEE Trans. Inform. Theory 28 (1982), 489-495. N. Cressie and T.R. C: Multinomial Goodness-of-fit Tests. J. Roy. Statist. Soc Ser. B 40(1984), 440-464. I. Csiszar: Information-type measures of difference of probability distributions and indirect observations. Studia Sci. Math. Hungar. 2 (1967), 299-318. D. A. S. Fraser: Nonparametric methods in Statistics. Wiley, New York 1957. J. C. Fryer and C. A. Robertson: A comparison of some methods for estimating mixed normal distributions. Biometrika 59 (1972), 639-648. D. Morales, L. Pardo, and I. Vajda: Asymptotic divergence of estimates of discrete distributions. J. Statist. Plann. Inference 48 (1995), 347-369. M. C. Pardo: On Burbea-Rao divergence based goodness-of-fit tests for multinomial models. J. Multivariate Anal. 69 (1999), 65-87. T. Perez and J. A. Pardo: The K-phi-divergence statistics for categorical data problem. Submitted. T. Perez and J. A. Pardo: Minimum K-phi-divergence estimator. Appl. Math. Lett, (to appear). C.R. Rao: Diversity and dissimilarity coefficients: a unified approach. J. Theoret. Population Biology 21 (1982), 24-43. J. N. K. Rao and A. J. Scott: The analysis of categorical data from complex sample surveys: chi-squared tests for goodness of fit and independence in two-way tables. J. Amer. Statist. Assoc. 76 (1981), 221-230. T. R. C. Read and N. A. C. Cressie: Goodness of fit Statistics for discrete multivariate data. Springer-Verlag, Berlin 1988. T. Vajda and K. Vasek: Majorization, concave entropies, and comparison of experiments. Prob. Control Inform. Theory 14 (1985), 105-115. K. Zografos, K. Ferentinos, and T. Papaioannou: (phi-divergence statistics: sampling properties and multinomial goodness of fit divergence tests. Comm. Statist. Theory Methods 19 (1990), 5, 1785-1802. | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 5e051d08-2974-4236-9c25-5e14369a7b61 | |
| relation.isAuthorOfPublication.latestForDiscovery | 5e051d08-2974-4236-9c25-5e14369a7b61 |
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