Test d'ajustement et test de choix fondés sur une distance informationnelle généralisée
Revue de Statistique Appliquée, Tome 46 (1998) no. 3, pp. 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},
     pages = {89--107},
     publisher = {Soci\'et\'e fran\c{c}aise de statistique},
     volume = {46},
     number = {3},
     year = {1998},
     language = {fr},
     url = {http://archive.numdam.org/item/RSA_1998__46_3_89_0/}
}
TY  - JOUR
AU  - Hammad, Pierre
AU  - Ngom, Pap
TI  - Test d'ajustement et test de choix fondés sur une distance informationnelle généralisée
JO  - Revue de Statistique Appliquée
PY  - 1998
SP  - 89
EP  - 107
VL  - 46
IS  - 3
PB  - Société française de statistique
UR  - http://archive.numdam.org/item/RSA_1998__46_3_89_0/
LA  - fr
ID  - RSA_1998__46_3_89_0
ER  - 
%0 Journal Article
%A Hammad, Pierre
%A Ngom, Pap
%T Test d'ajustement et test de choix fondés sur une distance informationnelle généralisée
%J Revue de Statistique Appliquée
%D 1998
%P 89-107
%V 46
%N 3
%I Société française de statistique
%U http://archive.numdam.org/item/RSA_1998__46_3_89_0/
%G fr
%F 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, Tome 46 (1998) no. 3, pp. 89-107. http://archive.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 | Zbl

[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 | Zbl

[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 | Zbl

[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 | Zbl

[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 | Zbl

[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 | Zbl

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

[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 | Zbl

[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

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

[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 | Zbl

[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 | Zbl

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

[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

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