Informational distances and related statistics in mixed continuous and categorical variables

Bar-Hen, 1995, Generalization of the Mahalanobis distance in the mixed case, J. Multivariate Anal., 53, 332, 10.1006/jmva.1995.1040 Cressie, 1984, Multinomial goodness of fit tests, J. Roy. Statist. Soc. B, 46, 440 Csiszar, 1967, Information type measures of difference of probability distributions and indirect observations, Studia Sci. Math. Hungar., 2, 299 Gyorfi, 1978, f-dissimilarity: a generalization of the affinity of several distributions, Ann. Inst. Statist. Math., 30, 105, 10.1007/BF02480206 Krzanowski, 1983, Distance between populations using mixed continuous and categorical variables, Biometrika, 70, 235, 10.1093/biomet/70.1.235 Mardia, K.V., Kent, J.T., Bibby, J.M., 1979. Multivariate Analysis. Academic Press, New York. Matusita, K., 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, 181, 10.1007/BF02911675 Menendez, 1995, Divergence based estimation and testing of statistical models of classification, J. Multivariate Anal., 54, 329, 10.1006/jmva.1995.1060 Menendez, 1996, About divergence based goodness of fit tests in the Dirichlet multinomial model, Commun. Statist. Theory Meth., 25, 119, 10.1080/03610929608831752 Menendez, 1997, Divergence measures between populations: applications in the exponential family, Commun. Statist. Theory Meth., 26, 1099, 10.1080/03610929708831970 Morales, 1997, Some new statistics for testing hypotheses in parametric models, J. Multivariate Anal., 62, 137, 10.1006/jmva.1997.1680 Nakanishi, 1996, Distance between populations in a mixture of categorical and continuous variables, J. Japan Statist. Soc., 26, 221, 10.14490/jjss1995.26.221 Nayak, 1985, On diversity measures based on entropy functions, Commun. Statist. Theory Meth., 14, 203, 10.1080/03610928508828905 Olkin, 1961, Multivariate correlation models with mixed discrete and continuous variables, Ann. Math. Statist., 32, 448, 10.1214/aoms/1177705052 Pardo, 1995, Divergence measures based on entropy functions and statistical inference, Sankhya B, 57, 315 Rao, 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, 221, 10.2307/2287815 Read, T.R.C., Cressie, N.A.C., 1988. Goodness-of-Fit Statistics for Discrete Multivariate Data. Springer, Berlin. Salicru, 1994, On the applications of divergence type measures in testing statistical hypotheses, J. Multivariate Anal., 51, 372, 10.1006/jmva.1994.1068 Serfling, R.J., 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, 389, 10.1007/BF02479834 Zografos, 1993, Asymptotic properties of Φ-divergence statistic and its applications in contingency tables, Int. J. Math. Statist. Sci., 2, 5 Zografos, 1994, Asymptotic distributions of estimated f-dissimilarity between populations in stratified random sampling, Statist. Probab. Lett., 21, 147, 10.1016/0167-7152(94)90222-4 Zografos, K., 1998. f-dissimilarity of several distributions in testing statistical hypotheses. Ann. Inst. Statist. Math. 50, 295–310. Zografos, 1990, Φ-divergence statistics: sampling properties and multinomial goodness of fit and divergence tests, Commun. Statist. Theory Meth., 19, 1785, 10.1080/03610929008830290