On a principle of choice among Bayes actions and its application for comparing experiments

M. A. Gil; J. M. A. Garrido; P. Gil

RAIRO - Operations Research - Recherche Opérationnelle (1987)

  • Volume: 21, Issue: 3, page 259-279
  • ISSN: 0399-0559

How to cite

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Gil, M. A., Garrido, J. M. A., and Gil, P.. "On a principle of choice among Bayes actions and its application for comparing experiments." RAIRO - Operations Research - Recherche Opérationnelle 21.3 (1987): 259-279. <http://eudml.org/doc/104924>.

@article{Gil1987,
author = {Gil, M. A., Garrido, J. M. A., Gil, P.},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
keywords = {experimental outcomes; principle of choice; preference relation for comparing experiments; expected value of sample information; expected quietness of sample information; lexicographical preordering},
language = {eng},
number = {3},
pages = {259-279},
publisher = {EDP-Sciences},
title = {On a principle of choice among Bayes actions and its application for comparing experiments},
url = {http://eudml.org/doc/104924},
volume = {21},
year = {1987},
}

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
PB - EDP-Sciences
VL - 21
IS - 3
SP - 259
EP - 279
LA - eng
KW - experimental outcomes; principle of choice; preference relation for comparing experiments; expected value of sample information; expected quietness of sample information; lexicographical preordering
UR - http://eudml.org/doc/104924
ER -

References

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  2. 2. D. BLACKWELL, Comparison of Experiments, Proc. Sec. Berkeley Symp. on Math. Stat. and Probability, University of California Press, 1951, pp. 93-102. Zbl0044.14203MR46002
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  5. 5. F. BOURGUIGNON, Decomposable Income Inequality Measures, Econometrica, 47, 1979, pp. 901-920. Zbl0424.90013MR537636
  6. 6. F. A. COWELL, On the Structure of Additive Inequality Measures, Review of Economic Studies, 47, 1980, pp. 521-531. Zbl0437.90035
  7. 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, Zbl0491.90024
  8. 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. MR532917
  9. 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. MR697201
  10. 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. Zbl0504.62009MR668835
  11. 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. Zbl0505.62002MR704149
  12. 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. Zbl0499.94008
  13. 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. Zbl0568.94039MR794640
  14. 14. M. A. GIL, M. T. LOPEZ and P. GIL, Comparison Between Fuzzy Information Systems, Kybernetes, Vol. 13, 1984, pp. 245-251. Zbl0552.94030MR782812
  15. 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. Zbl0559.94002
  16. 16. P. GIL, Teoría Matemática de la Información, I.C.E. Ed, Madrid, 1981. 
  17. 17. E. L. LEHMANN, Testing Statistical Hypotheses, J. Wiley, New York, 1959. Zbl0862.62020MR107933
  18. 18. D. V. LINDLEY, On a Measure of the Information Provided by an Experiment, Ann. Math. Stat., Vol. 27, 1956, pp. 986-1005. Zbl0073.14103MR83936
  19. 19. H. RAIFFA and R. SCHLAIFER, Applied Statistical Decision Theory, The M.I.T. Press, 1961. Zbl0181.21801MR226757
  20. 20. A. F. SHORROCKS, The Class of Additively Decomposable Inequality Measure, Econometrica, 48, 1980, pp. 613-625. Zbl0435.90040MR573315
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  22. 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. 

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