Inférence bayésienne dans les problèmes de décision composée et de l'empirique bayésien
Statistique et analyse des données, Volume 4 (1979) no. 3, p. 33-44
@article{SAD_1979__4_3_33_0,
     author = {Terouanne, Eric},
     title = {Inf\'erence bay\'esienne dans les probl\`emes de d\'ecision compos\'ee et de l'empirique bay\'esien},
     journal = {Statistique et analyse des donn\'ees},
     publisher = {Association pour la statistique et ses illustrations},
     volume = {4},
     number = {3},
     year = {1979},
     pages = {33-44},
     language = {fr},
     url = {http://www.numdam.org/item/SAD_1979__4_3_33_0}
}
Terouanne, Eric. Inférence bayésienne dans les problèmes de décision composée et de l'empirique bayésien. Statistique et analyse des données, Volume 4 (1979) no. 3, pp. 33-44. http://www.numdam.org/item/SAD_1979__4_3_33_0/

1. Atchison T.A. and Mark H.F. (1969), Proceedings of the Symposium on empirical Bayes Estimation and Computating in Statistics, Texas Tech. Universi ty Mathematics Series n° 6. | Zbl 0195.48001

2. Basu D. (1969), Role of the sufficiency and likelihood principles in sample survey theory. Sankhya, A, 31, 441-454. | MR 266393 | Zbl 0214.46504

3. Clemmer B.A. and Krutchkoff R.G. (1968), The use of Empirical Bayes estimators in a linear regression model, Biometrika 55, 3, 525-534. | Zbl 0177.46904

4. Ghozali M.R. (1976), Problèmes statistiques à étages, Thèse, Université des Sciences et Techniques du Languedoc, Montpellier.

5. Hannan J.F. and Robbins H. (1955), Asymptotic solutions of the Compound Decision problem for two completely specified distributions, Ann. of Math. Stat. 26, 37-51. | MR 67444 | Zbl 0064.38703

6. Hannan J.F. and Van Ryzin J.R. (1965), Rate of convergence in the Compound Decision problem for two completely specified distributions, Ann. of Math. Stat. 36, 1743-1752. | MR 184340 | Zbl 0161.37901

7. Krutchkoff R.G. (1969), An introduction to Empirical Bayes, in ATCHINSON T.A. and MARTZ H.F., op. cit. | Zbl 0213.43902

8. Lindley D.V. (1958), Professor Hogben's crisis - a survey of the foundations of statistics, Appl. Statist.7, 186-198.

9. Lindley D.V. (1972), Bayesian statistics, a reviev. Regional conference series in applied mathematics, 2. SIAM, Philadelphia. | Zbl 0246.62009

10. Maritz J. S. (1970), Empirical Bayes methods, Methuen, London. | MR 314158 | Zbl 0731.62040

11. Martz H.F.Jr. (1969), Multivariate extended Empirical Bayes methods, in ATCHINSON T.A. and MARTZ H.F., op.cit.

12. Miyasawa K. (1960), An empirical Bayes estimator of the mean of a normal population, Bull. Int. Inst. of Statist. 38, 181-188. | MR 154354 | Zbl 0114.10301

13. Neyman J. (1962), Two breakthroughs in the theory of statistical decision making, Rev. Int. Statist. Inst. 30, 11-27. | MR 161441 | Zbl 0131.35601

14. Oaten A. (1972), Approximation t o Bayes risk in Compound Decision problem, Ann. of Math. Statist. 43, 1164-1184. | MR 312612 | Zbl 0241.62005

15. Robbins H. (1951), Asymptotically subminimax solutions of Compound statistical Decision problems, Proc.Sec. Berk. Symp. on Statist. and Prob., 131-148. | MR 44803 | Zbl 0044.14803

16. Robbins H. (1955), An Empirical Bayes approach to statistics, Proc. Third Berk. Symp. on Statist. and Prob., 157-163. | MR 84919 | Zbl 0074.35302

17. Robbins H. (1962), Some numerical results on a compound decision problem. Recent developments in information and decision processes, edited by MACHAL and GRAY, Mac Millan, 56-62.

18. Robbins H. (1963), The empirical Bayes approach to testing statistical hypotheses, Rev. Inter. Statist. Inst. 31, 195-208. | MR 191039 | Zbl 0117.14104

19. Robbins H. (1964), The empirical Bayes approach to Statistical decision problems, Ann. of Math. Statist. 35, 1-20. | MR 163407 | Zbl 0138.12304

20. Samuel E. (1967), The compound statistical decision problem, Sankhya, Ser. A, 29, 123-140. | MR 216651 | Zbl 0245.62012

21. Savage L.J. (1954), The foundations of statistics, Wiley, New York. | MR 63582 | Zbl 0276.62006

22. Savage L.J. (1961), The foundations of statistics reconsedered, Proc. Fourth Berk. Symp. 1, 575-586. | MR 133898 | Zbl 0121.13603

23. Savage L.J. (1962), The foundations of statistical inference, Methuen, London. | MR 146908 | Zbl 0055.12604

24. Von Mises R. (1942), On the correct use of Bayes'formula, Ann. of Math.Statist. 13, 156-165. | MR 6696 | Zbl 0063.04016

25. Wind S.L. (1973), An empirical Bayes approach to multiple linear regression, Ann. of Statist. 1, 93-103. | MR 343486 | Zbl 0253.62007