论文信息 - ON MERGING OF PROBABILITIES

ON MERGING OF PROBABILITIES

SUMMARY. Two sequences of probabilities can merge together without necessarily converging. Several notions of merging compatible with the weak star topology are introduced. Inclusions and equivalences are demonstrated. Examples involving merging of posterior distri butions, maxima of discrete random variables, and a stopping time in sequential analysis are presented.

David A. Freedman | Persi Diaconis | D. Freedman | P. Diaconis

[1] D. Freedman,et al. On the uniform consistency of Bayes estimates for multinomial probabilities , 1990 .

[2] David A. Freedman,et al. Rejoinder: On the Consistency of Bayes Estimates , 1986 .

[3] P. Diaconis. Examples for the Theory of Infinite Iteration of Summability Methods , 1977, Canadian Journal of Mathematics.

[4] R. A. Raimi. The First Digit Problem , 1976 .

[5] P. Billingsley,et al. Convergence of Probability Measures , 1970, The Mathematical Gazette.

[6] R. Dudley. Distances of Probability Measures and Random Variables , 1968 .

[7] D. Blackwell,et al. Merging of Opinions with Increasing Information , 1962 .

[8] Leonard Gillman,et al. Rings of continuous functions , 1961 .

[9] Gerald Teschl,et al. Functional Analysis , 2023, Texts and Readings in Mathematics.

[10] J. Knowles. Measures on Topological Spaces , 1967 .

[11] R. Dudley. Convergence of Baire measures , 1966 .

[12] J. Isbell,et al. Euclidean covers of topological spaces , 1960 .