Nonstandard methods for families of $\tau$-smooth probability measures
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- by Dieter Landers and Lothar Rogge PDF
- Proc. Amer. Math. Soc. 103 (1988), 1151-1156 Request permission
Abstract:
For families of $\tau$-smooth probability measures we give nonstandard characterizations of uniform $\tau$-smoothness, uniform tightness, uniform pretightness, and relative compactness in the weak topology. We apply these characterizations to obtain two important theorems of probability theory: A theorem of Topsøe and a theorem of Prohorov.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 103 (1988), 1151-1156
- MSC: Primary 28E05; Secondary 28A33, 60B10
- DOI: https://doi.org/10.1090/S0002-9939-1988-0954998-8
- MathSciNet review: 954998