Test d'ajustement et test de choix fondés sur une distance informationnelle généralisée

Pierre Hammad; Pap Ngom

Revue de Statistique Appliquée (1998)

  • Volume: 46, Issue: 3, page 89-107
  • ISSN: 0035-175X

How to cite

top

Hammad, Pierre, and Ngom, Pap. "Test d'ajustement et test de choix fondés sur une distance informationnelle généralisée." Revue de Statistique Appliquée 46.3 (1998): 89-107. <http://eudml.org/doc/106446>.

@article{Hammad1998,
author = {Hammad, Pierre, Ngom, Pap},
journal = {Revue de Statistique Appliquée},
language = {fre},
number = {3},
pages = {89-107},
publisher = {Société française de statistique},
title = {Test d'ajustement et test de choix fondés sur une distance informationnelle généralisée},
url = {http://eudml.org/doc/106446},
volume = {46},
year = {1998},
}

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
PB - Société française de statistique
VL - 46
IS - 3
SP - 89
EP - 107
LA - fre
UR - http://eudml.org/doc/106446
ER -

References

top
  1. [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. Zbl0283.62006MR483125
  2. [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. Zbl0063.00364MR10358
  3. [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. [4] Hammad P. (1987). «Information, Systèmes et distributions», Editions Cujas, Paris. 
  5. [5] Matusita K. (1951). «On theory of décision functions», Ann. Inst. Statist. Math., 3, 17-35. Zbl0044.14901MR46004
  6. [6] Matusita K. (1967). «On the notion of affinity of several distributions and some of its applications», Ann. Inst. Statist. Math., 19, 181-192. Zbl0161.37704MR216649
  7. [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. Zbl0765.62061MR1168656
  8. [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 -222North-Holland. Zbl0801.62019MR1256596
  9. [9] Moore D.S. (1978). «Chi-Squared Tests», in statudies in statistics, ed. by HoGG , R.V. Volume, The Mathemical Association of America. Zbl0413.62026
  10. [10] Moore D.S. (1986). «Test of Chi-Squared type », ed. D'Agostino R.B and Stephens M.A. 
  11. [11] Mathai A.M. and Rathie P.N. (1975). «Basic Concepts of Information Theory and Statistics », Wiley, New York. Zbl0346.94014MR396034
  12. [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. Zbl31.0238.04JFM31.0238.04
  13. [13] A. Renyi (1966). Calcul des probabilités (avec un appendice sur la théorie de l'information», Dunod, Paris. Zbl0141.14702MR202161
  14. [14] Sharma B.D. and Mittal D.P. (1977). «New nonadditive measures of entropy for discrete probability distributions», J. Math. Sci., 10, 28-40. Zbl0371.94039MR539493
  15. [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. Zbl0479.94011MR573143
  16. [16] Vuong Q.H. (1989). «Likelihood Ratio tests for model Selection and nonnested Hypotheses », Econometrica, 57, pp. 257-306. Zbl0701.62106MR996939
  17. [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. MR1232487
  18. [18] Watson G.S. (1959). «Some Recent Results in Chi-Square Goodness-of-Fit Tests», Biometrics, 15, pp. 440- 468. Zbl0095.33503

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.