Dilation for Sets of Probabilities

Stable URL:http://links.jstor.org/sici?sici=0090-5364%28199309%2921%3A3%3C1139%3ADFSOP%3E2.0.CO%3B2-VThe Annals of Statistics is currently published by Institute of Mathematical Statistics.Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available athttp://www.jstor.org/about/terms.html. JSTOR's Terms and Conditions of Use provides, in part, that unless you have obtainedprior permission, you may not download an entire issue of a journal or multiple copies of articles, and you may use content inthe JSTOR archive only for your personal, non-commercial use.Please contact the publisher regarding any further use of this work. Publisher contact information may be obtained athttp://www.jstor.org/journals/ims.html.Each copy of any part of a JSTOR transmission must contain the same copyright notice that appears on the screen or printedpage of such transmission.The JSTOR Archive is a trusted digital repository providing for long-term preservation and access to leading academicjournals and scholarly literature from around the world. The Archive is supported by libraries, scholarly societies, publishers,and foundations. It is an initiative of JSTOR, a not-for-profit organization with a mission to help the scholarly community takeadvantage of advances in technology. For more information regarding JSTOR, please contact support@jstor.org.http://www.jstor.orgTue Mar 4 10:39:53 2008

[1]  Larry Wasserman,et al.  Invariance Properties of Density Ratio Priors , 1992 .

[2]  I. Good.  On the Principle of Total Evidence , 1967 .

[3]  J. Berger.  Robust Bayesian analysis : sensitivity to the prior , 1990 .

[4]  B. O. Koopman.  The bases of probability , 1940 .

[5]  Joseph B. Kadane,et al.  The extent of non-conglomerability of finitely additive probabilities , 1984 .

[6]  Henry E. Kyburg,et al.  Probability and the logic of rational belief , 1970 .

[7]  J. Hartigan,et al.  Bayesian Inference Using Intervals of Measures , 1981 .

[8]  Terrence L. Fine,et al.  Lower probability models for uncertainty and nondeterministic processes , 1988 .

[9]  Irving John Good,et al.  A LITTLE LEARNING CAN BE DANGEROUS* , 1974, The British Journal for the Philosophy of Science.

[10]  Cedric A. B. Smith,et al.  Consistency in Statistical Inference and Decision , 1961 .

[11]  Teddy Seidenfeld,et al.  Levi on the Dogma of Randomization in Experiments , 1981 .

[12]  L. Wasserman,et al.  Bayes' Theorem for Choquet Capacities , 1990 .

[13]  I. Levi.  Conflict and Social Agency , 1982 .

[14]  Kyburg,et al.  Randomness and the Right Reference Class , 1977 .

[15]  P. J. Huber,et al.  Minimax Tests and the Neyman-Pearson Lemma for Capacities , 1973 .

[16]  M. Degroot.  Optimal Statistical Decisions , 1970 .

[17]  James O. Berger.  Statistical Decision Theory , 1980 .

[18]  Teddy Seidenfeld,et al.  When normal and extensive form decisions differ , 1995 .

[19]  I. Levi.  On Indeterminate Probabilities , 1974 .

[20]  T. Fine,et al.  Towards a Frequentist Theory of Upper and Lower Probability , 1982 .

[21]  Larry Wasserman,et al.  Symmetric Upper Probabilities , 1992 .

[22]  B. D. Finetti,et al.  Foresight: Its Logical Laws, Its Subjective Sources , 1992 .

[23]  M. Lavine.  Sensitivity in Bayesian Statistics: The Prior and the Likelihood , 1991 .

[24]  J. V. Ryff.  Orbits of ¹-functions under doubly stochastic transformations , 1965 .

[25]  P. Walley.  Statistical Reasoning with Imprecise Probabilities , 1990 .

[26]  I. Olkin,et al.  Inequalities: Theory of Majorization and Its Applications , 1980 .

[27]  J. V. Ryff.  Orbits of L 1 -Functions Under Doubly Stochastic Transformation , 1965 .

[28]  Joseph B. Kadane,et al.  You have printed the following article : On the Shared Preferences of Two Bayesian Decision Makers , 2008 .

[29]  Joseph B. Kadane,et al.  Rethinking the Foundations of Statistics: Decisions Without Ordering , 1990 .

[30]  L. M. Berliner,et al.  Robust Bayes and Empirical Bayes Analysis with $_\epsilon$-Contaminated Priors , 1986 .