On a principle of choice among Bayes actions and its application for comparing experiments
RAIRO - Operations Research - Recherche Opérationnelle, Tome 21 (1987) no. 3, pp. 259-279. 
@article{RO_1987__21_3_259_0,
     author = {Gil, M. A. and Garrido, J. M. A. and Gil, P.},
     title = {On a principle of choice among {Bayes} actions and its application for comparing experiments},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {259--279},
     publisher = {EDP-Sciences},
     volume = {21},
     number = {3},
     year = {1987},
     mrnumber = {919160},
     zbl = {0638.90001},
     language = {en},
     url = {http://archive.numdam.org/item/RO_1987__21_3_259_0/}
}
TY  - JOUR
AU  - Gil, M. A.
AU  - Garrido, J. M. A.
AU  - Gil, P.
TI  - On a principle of choice among Bayes actions and its application for comparing experiments
JO  - RAIRO - Operations Research - Recherche Opérationnelle
PY  - 1987
SP  - 259
EP  - 279
VL  - 21
IS  - 3
PB  - EDP-Sciences
UR  - http://archive.numdam.org/item/RO_1987__21_3_259_0/
LA  - en
ID  - RO_1987__21_3_259_0
ER  - 
%0 Journal Article
%A Gil, M. A.
%A Garrido, J. M. A.
%A Gil, P.
%T On a principle of choice among Bayes actions and its application for comparing experiments
%J RAIRO - Operations Research - Recherche Opérationnelle
%D 1987
%P 259-279
%V 21
%N 3
%I EDP-Sciences
%U http://archive.numdam.org/item/RO_1987__21_3_259_0/
%G en
%F RO_1987__21_3_259_0
Gil, M. A.; Garrido, J. M. A.; Gil, P. On a principle of choice among Bayes actions and its application for comparing experiments. RAIRO - Operations Research - Recherche Opérationnelle, Tome 21 (1987) no. 3, pp. 259-279. http://archive.numdam.org/item/RO_1987__21_3_259_0/

1. J. Aczél, A New Theory of Generalized Information Measures, Recent Results in the "Old" Theory and Some "Real Life" Interpretations of Old and New Information Measures, Proc. Sec. World Conf. on Math. at the service of man, Canarias-Spain, 1982, p. 3. | MR | Zbl

2. D. Blackwell, Comparison of Experiments, Proc. Sec. Berkeley Symp. on Math. Stat. and Probability, University of California Press, 1951, pp. 93-102. | MR | Zbl

3. D. Blackwell, Equivalent Comparisons of Experiments, Ann. Math. Stat., 24, 1953, pp. 265-272. | MR | Zbl

4. D. Blackwell and M. A. Girshick, Theory of Games and Statistical Decisions, J. Wiley, New York, 1954. | MR | Zbl

5. F. Bourguignon, Decomposable Income Inequality Measures, Econometrica, 47, 1979, pp. 901-920. | MR | Zbl

6. F. A. Cowell, On the Structure of Additive Inequality Measures, Review of Economic Studies, 47, 1980, pp. 521-531. | Zbl

7. W. Echhorn and W. Gehrig, Measurement of Inequality in Economics, Modern applied Mathematics-Optimization and Operations Research, B. KORTE Ed., North Holland, Amsterdam, 1982, | Zbl

8. M. P. Garcïa-Carrasco, Criterios para la comparación de experimentos, Trab. de Est. e Inv. Oper., Vol. 29, No. 2, 1978, pp. 28-51. | MR

9. M. A. Gil, Estudio de una medida para la incertidumbre correspondiente a las utilidades, Trab. de Est. e Inv. Oper., Vol. 32, No. 3, 1981, pp. 45-66. | MR

10. M. A. Gil, Mixed Criterion of Expected Utility and Quietness (Invariant by Homotheties with Respect to the Utilities), Statistica, Anno XLII, 1, 1982pp. 21-37. | MR | Zbl

11. M. A. Gil, Criterion of Maximizing the Expected Quietness (Invariant by Homotheties in Relation to the Utilities), R.A.I.R.O., Rech. Opér., Vol. 16, 1982, pp. 319-331. | Numdam | MR | Zbl

12. M. A. Gil, On Two Unquietness Measures for the Finite Experiences, Proc. Sec. World Conf. on Math. at the service of man, Canarias-Spain, 1982, pp. 299-304. | Zbl

13. M. A. Gil and T. Brezmes, Fuzzified Blackwell's Method to Compare Experiments, R.A.I.R.O., Rech. Opér., Vol. 19, No. 1, 1985, pp. 105-111. | Numdam | MR | Zbl

14. M. A. Gil, M. T. Lopez and P. Gil, Comparison Between Fuzzy Information Systems, Kybernetes, Vol. 13, 1984, pp. 245-251. | MR | Zbl

15. M. A. Gil, M. T. Lopez and P. Gil, Quantity of Information; Comparison Between Information Systems: 1. Nonfuzzy States; 2. Fuzzy States, Fuzzy Sets and Systems, Vol. 15, No. 1, 1985, pp. 65-78; Fuzzy Sets and Systems, Vol. 15, No. 2, 1985, pp. 129-145. | Zbl

16. P. Gil, Teoría Matemática de la Información, I.C.E. Ed, Madrid, 1981.

17. E. L. Lehmann, Testing Statistical Hypotheses, J. Wiley, New York, 1959. | MR | Zbl

18. D. V. Lindley, On a Measure of the Information Provided by an Experiment, Ann. Math. Stat., Vol. 27, 1956, pp. 986-1005. | MR | Zbl

19. H. Raiffa and R. Schlaifer, Applied Statistical Decision Theory, The M.I.T. Press, 1961. | MR | Zbl

20. A. F. Shorrocks, The Class of Additively Decomposable Inequality Measure, Econometrica, 48, 1980, pp. 613-625. | MR | Zbl

21. A. M. Yaglom and I. M. Yaglom, Probability and Information, Theory and Decision Library, Vol. 35, D. Reidel Publishing Company, Dordrecht, 1983. | MR | Zbl

22. D. Zagier, On the Decomposability of the Gini Coefficient and Other Indices of Inequality, Discussion Paper No 108, Projectgruppe Theoretische Modelle, Universität Bonn, 1983.