Informational distances and related statistics in mixed continuous and categorical variables
| dc.contributor.author | Morales González, Domingo | |
| dc.contributor.author | Pardo Llorente, Leandro | |
| dc.contributor.author | Zografos, Konstantinos | |
| dc.date.accessioned | 2023-06-20T17:09:52Z | |
| dc.date.available | 2023-06-20T17:09:52Z | |
| dc.date.issued | 1998-11-15 | |
| dc.description.abstract | A general class of dissimilarity measures among k greater than or equal to 2 distributions and their sample estimators are considered, for mixed continuous and categorical variables. The distributional properties are studied for the location model and the asymptotic distributions are investigated, in the general parametric case. The asymptotic distributions of the resulting statistics are used in various settings, to test statistical hypotheses. | |
| 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/18092 | |
| dc.identifier.doi | 10.1016/S0378-3758(98)00120-7 | |
| dc.identifier.issn | 0378-3758 | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S0378375898001207 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57873 | |
| dc.issue.number | 1 | |
| dc.journal.title | Journal of Statistical Planning and Inference | |
| dc.language.iso | eng | |
| dc.page.final | 63 | |
| dc.page.initial | 47 | |
| dc.publisher | Elsevier Science Bv | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 519.2 | |
| dc.subject.keyword | location model | |
| dc.subject.keyword | mixed variables | |
| dc.subject.keyword | f-dissimilarity | |
| dc.subject.keyword | f-dissimilarity statistic | |
| dc.subject.keyword | asymptotic distributions | |
| dc.subject.keyword | multivariate normal distribution | |
| dc.subject.keyword | exponential family | |
| dc.subject.keyword | testing statistical hypotheses | |
| dc.subject.keyword | test of homogeneity | |
| dc.subject.keyword | multinomial goodness | |
| dc.subject.keyword | populations | |
| dc.subject.keyword | tests | |
| dc.subject.keyword | fit | |
| dc.subject.keyword | hypotheses | |
| dc.subject.keyword | models | |
| dc.subject.ucm | Estadística aplicada | |
| dc.title | Informational distances and related statistics in mixed continuous and categorical variables | |
| dc.type | journal article | |
| dc.volume.number | 75 | |
| dcterms.references | Bar-Hen and Daudin (1995).Generalization of the Mahalanobis distance in the mixed case.J. Multivariate Anal., 53 (1995), pp. 332–342. Cressie and Read (1984). Multinomial goodness of fit tests. J. Roy. Statist. Soc. B, 46 (1984), pp. 440–464 Csiszar (1967).Information type measures of difference of probability distributions and indirect observations. Studia Sci. Math. Hungar., 2 (1967), pp. 299–318 Gyorfi and Nemetz, (1978).f-dissimilarity: a generalization of the affinity of several distributions. Ann. Inst. Statist. Math., 30 (1978), pp. 105–113 Krzanowski (1983).Distance between populations using mixed continuous and categorical variables.Biometrika, 70 (1983), pp. 235–243 Mardia et al. (1979). Multivariate Analysis. Academic Press, New York. Matusita (1966). A distance and related statistics in multivariate analysis. In: Krishnaiah, P.R. (Ed.), multivariate Analysis. Academic Press, New York, pp. 187–200. Matusita (1967).On the notion of affinity of several distributions and some of its applications.Ann. Inst. Statist. Math., 19 (1967), pp. 181–192 Menendez et al. (1995).Divergence based estimation and testing of statistical models of classification.J. Multivariate Anal., 54 (1995), pp. 329–354 Menendez et al. (1996). About divergence based goodness of fit tests in the Dirichlet multinomial model Commun. Statist. Theory Meth., 25 (1996), pp. 119–133 Menendez et al. (1997). Divergence measures between populations: applications in the exponential family. Commun. Statist. Theory Meth., 26 (1997), pp. 1099–1117 Morales et al. (1997).Some new statistics for testing hypotheses in parametric models. J. Multivariate Anal., 62 (1997), pp. 137–168 Nakanishi (1996).Distance between populations in a mixture of categorical and continuous variables.J. Japan Statist. Soc., 26 (1996), pp. 221–230 Nayak (1985).On diversity measures based on entropy functions.Commun. Statist. Theory Meth., 14 (1985), pp. 203–215 Olkin and Tate (1961).Multivariate correlation models with mixed discrete and continuous variables.Ann. Math.Statist., 32 (1961), pp. 448–465 Pardo et al. (1995).Divergence measures based on entropy functions and statistical inference.Sankhya B, 57 (1995), pp. 315–337 Rao and Scott (1981).The analysis of categorical data from complex sample surveys: chi-squared test for goodness of fit and independence in two-way tables.J. Amer. Statist. Assoc., 76 (1981), pp. 221–230 Read and Cressie (1988). Goodness-of-Fit Statistics for Discrete Multivariate Data. Springer, Berlin. Salicru et al. (1994).On the applications of divergence type measures in testing statistical hypotheses. J. Multivariate Anal., 51 (1994), pp. 372–391 Serfling (1980). Approximation Theorems of Mathematical Statistics. Wiley, New York. Toussaint (1974).Some properties of Matusita’s measure of affinity of several distributions. Ann. Inst. Statist. Math., 26 (1974), pp. 389–394 Zografos (1993).Asymptotic properties of Φ-divergence statistic and its applications in contingency tables. Int. J. Math. Statist. Sci., 2 (1993), pp. 5–21 Zografos (1994). Asymptotic distributions of estimated f-dissimilarity between populations in stratified random sampling. Statist. Probab. Lett., 21 (1994), pp. 147–151 Zografos (1998)Zografos, K., 1998. f-dissimilarity of several distributions in testing statistical hypotheses. Ann. Inst. Statist. Math. 50, 295–310. Zografos et al. (1990).Φ-divergence statistics: sampling properties and multinomial goodness of fit and divergence tests.Commun. Statist. Theory Meth., 19 (1990), pp. 1785–1802 | |
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