Generalized Hewitt-Savage theorems for strictly stationary processes
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- by Richard Isaac
- Proc. Amer. Math. Soc. 63 (1977), 313-316
- DOI: https://doi.org/10.1090/S0002-9939-1977-0501304-1
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Correction: Proc. Amer. Math. Soc. 101 (1987), 529.
Correction: Proc. Amer. Math. Soc. 88 (1983), 138-140.
Abstract:
Generalizations of the Hewitt-Savage zero-one law are proved for strictly stationary processes. This takes the form of statements concerning inclusion and equality relationships among certain sigma-fields related to the process.References
- J. L. Doob, Stochastic processes, John Wiley & Sons, Inc., New York; Chapman & Hall, Ltd., London, 1953. MR 0058896
- Edwin Hewitt and Leonard J. Savage, Symmetric measures on Cartesian products, Trans. Amer. Math. Soc. 80 (1955), 470–501. MR 76206, DOI 10.1090/S0002-9947-1955-0076206-8
- Paul R. Halmos, Measure Theory, D. Van Nostrand Co., Inc., New York, N. Y., 1950. MR 0033869
- Jacques Neveu, Bases mathématiques du calcul des probabilités, Masson et Cie, Éditeurs, Paris, 1964 (French). MR 0198504
Bibliographic Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 63 (1977), 313-316
- MSC: Primary 60G10; Secondary 60F20
- DOI: https://doi.org/10.1090/S0002-9939-1977-0501304-1
- MathSciNet review: 0501304