Test d'ajustement et test de choix fondés sur une distance informationnelle généralisée
Revue de Statistique Appliquée, Volume 46 (1998) no. 3, p. 89-107
@article{RSA_1998__46_3_89_0,
     author = {Hammad, Pierre and Ngom, Pap},
     title = {Test d'ajustement et test de choix fond\'es sur une distance informationnelle g\'en\'eralis\'ee},
     journal = {Revue de Statistique Appliqu\'ee},
     publisher = {Soci\'et\'e fran\c caise de statistique},
     volume = {46},
     number = {3},
     year = {1998},
     pages = {89-107},
     language = {fr},
     url = {http://www.numdam.org/item/RSA_1998__46_3_89_0}
}
Hammad, Pierre; Ngom, Pap. Test d'ajustement et test de choix fondés sur une distance informationnelle généralisée. Revue de Statistique Appliquée, Volume 46 (1998) no. 3, pp. 89-107. http://www.numdam.org/item/RSA_1998__46_3_89_0/

[1] Akaike H. (1973). «Information theory and Extension of the Likelihood Ratio Principe», Proceedings of the second International Symposium of Information theory, ed. By. Pietrov, B.N and Csaki, F. Budapest: Akademiai Kiado, pp. 257-281. | MR 483125 | Zbl 0283.62006

[2] Bhattacharyya A. (1943). «On a measure of divergence between two statistical populations defined by their probability distributions », Bull. Calcutta Math.Soc., 35, 99-109. | MR 10358 | Zbl 0063.00364

[3] Davidson R., J.G. Mackinnon (1994). «Graphical methods for investigating the size and Power of hypothesis tests», Documents de travail G.R.E. Q.A.M n° 94A23 Juin.

[4] Hammad P. (1987). «Information, Systèmes et distributions», Editions Cujas, Paris.

[5] Matusita K. (1951). «On theory of décision functions», Ann. Inst. Statist. Math., 3, 17-35. | MR 46004 | Zbl 0044.14901

[6] Matusita K. (1967). «On the notion of affinity of several distributions and some of its applications», Ann. Inst. Statist. Math., 19, 181-192. | MR 216649 | Zbl 0161.37704

[7] Morales D., Pardo L., Salicrù M., Menendez M.L. (1992). «A test of independance based on the (r, s)-directed divergence», Tamkang Journal of Mathematics, Vol. 23, n° 2, Summer. | MR 1168656 | Zbl 0765.62061

[8] Morales D., Pardo L., Salicrù M. and Menendez M.L. (1994). «Asymptotic properties of divergence statistics in a stratified random sampling and its applications to test statistical hypotheses», Journal of Statitical Planning and Inference, 38, p. 201 -222 North-Holland. | MR 1256596 | Zbl 0801.62019

[9] Moore D.S. (1978). «Chi-Squared Tests», in statudies in statistics, ed. by HoGG , R.V. Volume, The Mathemical Association of America. | Zbl 0413.62026

[10] Moore D.S. (1986). «Test of Chi-Squared type », ed. D'Agostino R.B and Stephens M.A.

[11] Mathai A.M. and Rathie P.N. (1975). «Basic Concepts of Information Theory and Statistics », Wiley, New York. | MR 396034 | Zbl 0346.94014

[12] Pearson K. (1990). «On the criterion that a given System of deviation from the probable in the case of a correlated System of Variables is Such that it can be reasonably supposed to have Arisen from Random Sampling», The London, Edinburgh and Dublin Philosophical Magazine and Journal of Science, 50, pp. 157-175. | JFM 31.0238.04

[13] A. Renyi (1966). Calcul des probabilités (avec un appendice sur la théorie de l'information», Dunod, Paris. | MR 202161 | Zbl 0141.14702

[14] Sharma B.D. and Mittal D.P. (1977). «New nonadditive measures of entropy for discrete probability distributions», J. Math. Sci., 10, 28-40. | MR 539493 | Zbl 0371.94039

[15] Taneja I.J. (1979). « Some Contributions to Information Theory I ( A survey) : On Measures of Information», J. Comb., Inform. Sys. Sci. 4(4), 253-274. | MR 573143 | Zbl 0479.94011

[16] Vuong Q.H. (1989). «Likelihood Ratio tests for model Selection and nonnested Hypotheses », Econometrica, 57, pp. 257-306. | MR 996939 | Zbl 0701.62106

[17] Vuong Q.H. and W. Wuang (1993). «Selecting Estimated Models using Chi-Square Statistics», Annales d'économie et de Statistique, 30, pp. 143-164. | MR 1232487

[18] Watson G.S. (1959). «Some Recent Results in Chi-Square Goodness-of-Fit Tests», Biometrics, 15, pp. 440- 468. | Zbl 0095.33503