Coherence, “improper” priors, and finite additivity

References

• Buehler , R. J. 1959 . Some Validity Criteria For Statistical Inference . Annals Math.Statist , 30 : 845 – 863 .
   Google Scholar
• Buehler , R. J. and Feddersen , A. P. 1963 . Note on conditional property of Student's t . Annals Math.Statist , 34 : 1098 – 1100 .
   Google Scholar
• Carnap , R. 1950 . Logical Foundations of Probability , Chicago : University of Chicago Press .
   Google Scholar
• Dawid , A. P. , Stone , M. and Zidev , J. V. 1973 . Marginalization Paradoxes i n Bayesian and Structural Inference . J.Roy.Statist.Soc , 35 : 189 – 233 . (with discussion)
   Google Scholar
• Definetti , B. 1972 . “ Probability ” . In Induction and Statistics , New York : Wiley .
   Google Scholar
• Dubins , L. 1975 . Finitely additive conditional probabilities,conglomerability and disintegrations . Ann.Probability , 3 : 89 – 99 .
   Web of Science ®Google Scholar
• Hacking , I. 1965 . Logic of Statistical Inference , New York : Cambridge University Press .
   Google Scholar
• Halmos , P. R. 1962 . Algebraic Logic , New York : Chelsea .
   Google Scholar
• Jeffreys , H. 1946 . An Invariant form for the Prior Probabilty in Estimation Problems . Proc.Roy.Soc , A ( 186 ) : 453 – 453 .
   Google Scholar
• Kadane J. B. Schervish M. Seidenfeld T. Statistical Implications of Finitely Additive Probability Bayesian Inference and Decision Techniques with Applications Goel P. K. Zellner A. 1981 Essays in honor of Bruno deFinetti, forthcoming
   Google Scholar
• Kolmogorov , A. N. 1956 . Foundations of the Theory of Probability , New York : Chelsea .
   Google Scholar
• Levi , I. 1980 . The Enterprise of Knowledge , Cambridge, Mass : MIT Press .
   Google Scholar
• Reichenbach , H. 1949 . The Theory of Probability , Los Angeles : University of California Press .
   Google Scholar
• Savage , L. J. 1954 . Foundations of Statistics , New York : Wiley .
   Google Scholar
• Schervish , M. , Seidenfeld , T. and Kadane , J. B. 1984 . The Extent of Non-Conglomerability of Finitely Additive Probabilities . Z.Wahrscheinlichkeitstheorie verw , 66 : 205 – 226 .
   Web of Science ®Google Scholar
• Seidenfeld , T. 1979 . Why I am not an objective Bayesian . Theory and Decision , 11 : 413 – 440 .
   Google Scholar
• Seidenfeld , T. 1982 . “ Paradoxes of Conglomerability and Fiducial Inference ” . In Logic, Methodology and Philosophy of Science VI , Edited by: Cohen , L. J. , Los , J. , Pfeiffer , H. and Podewski , K. 395 – 412 . amsterdam : North Holland .
   Google Scholar
• Seidenfeld , T. and Schervish , M. 1983 . A Conflict Between Finite Additivity and Avoiding Dutch Book . Phil.Science , 50 : 398 – 412 .
   Google Scholar