De Finetti's Coherence and Statistical Inference

On donne la definition d'une inference coherente en conformite avec une theorie des probabilites conditionnelles derivee du principe de coherence de De Finetti et on effectue une comparaison critique d'une telle definition avec celle proposee par Heath, Lane et Sudderth

[1]  D. Freedman,et al.  BAYES' METHOD FOR BOOKIES , 1969 .

[2]  Hans Reichenbach,et al.  Axiomatik der Wahrscheinlichkeitsrechnung , 1932 .

[3]  A. P. Dawid,et al.  Un-Bayesian implications of improper Bayes inference in routine statistical problems , 1972 .

[4]  David Blackwell,et al.  On Existence and Non-Existence of Proper, Regular, Conditional Distributions , 1975 .

[5]  Hugh B. Maynard A Radon-Nikodým theorem for finitely additive bounded measures , 1979 .

[6]  William D. Sudderth,et al.  On Finitely Additive Priors, Coherence, and Extended Admissibility , 1978 .

[7]  W. Sudderth,et al.  Coherent Predictions are Strategic , 1985 .

[8]  L. Dubins Measurable tail disintegrations of the Haar integral are purely finitely additive , 1977 .

[9]  L. Dubins Finitely Additive Conditional Probabilities, Conglomerability and Disintegrations , 1975 .

[10]  Expectation consistency of inverse probability distributions , 1972 .

[11]  B. D. Finetti La prévision : ses lois logiques, ses sources subjectives , 1937 .

[12]  A. Rényi On a new axiomatic theory of probability , 1955 .

[13]  D. Blackwell,et al.  Non-Existence of Everywhere Proper Conditional Distributions , 1963 .

[14]  William D. Sudderth Finitely Additive Priors, Coherence and the Marginalization Paradox , 1980 .

[15]  Mervyn Stone Review and Analysis of Some Inconsistencies Related to Improper Priors and Finite Additivity , 1982 .

[16]  Richard B. Darst A note on abstract integration , 1961 .

[17]  Leon H. Herbach,et al.  Mathematical Basis of Statistics , 1982 .

[18]  William D. Sudderth,et al.  Coherent and Continuous Inference , 1983 .

[19]  R. Sherman Lehman,et al.  On confirmation and rational betting , 1955, Journal of Symbolic Logic.

[20]  G. Kallianpur,et al.  Arbitrary system process with additive white noise observation errors , 1968 .

[21]  Mervyn Stone,et al.  Strong Inconsistency from Uniform Priors , 1976 .

[22]  P. Krauss,et al.  Representation of conditional probability measures on Boolean algebras , 1968 .

[23]  Expectation Consistency and Generalized Bayes Inference , 1973 .