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FUZZY CONVERGENCE VERSUS WEAK CONVERGENCE IN SPACES OF PROBABILITY MEASURES
1984If X is a separable metrizable space, then on the set \({\mathcal M}(X)\) of all probability measures on X, the structure most frequently used is the weak topology, also called topology of weak convergence. In Math. Nachr. 115, 33-57 (1984; Zbl 0593.54006), the author introduced an alternative structure, a fuzzy topology, the topological modification ...
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Strong measures of concordance and convergence in probability
Rivista di Matematica per le Scienze Economiche e Sociali, 1984It is shown that convergence in probability is sufficient for a strong measure of concordance to converge to one, and that convergence to one of a strong measure of concordance, along with convergence in law, is sufficient for convergence in probability.
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On weak convergence of probability measures, channel capacity and code error probabilities
IEEE Transactions on Information Theory, 1996Let \({\mathcal X}\) be the possibly infinite set of channel inputs and \({\mathcal Y}\) the output alphabet where \({\mathcal Y}\) is the Borel \(\sigma\)-field of a separable metric space \(({\mathcal Y},d)\). A channel \({\mathcal C}\) is a family of probability measures on \({\mathcal Y}\), i.e., \({\mathcal C}=(P^x)_{x\in{\mathcal X}}\) where \(P ...
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Convergence of Convolution Sequences of Probability Measures
1977The study of the convergence of sequences of probability measures on a locally compact group is basic for the development of the central limit theorem. This chapter serves as a source of preparatory material as well as a presentation of the smooth part of the theory.
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Stochastic two-scale convergence and Young measures
Networks and Heterogeneous Media, 2022Martin Heida, Stefan Neukamm
exaly
Convergence of empirical probability measures
1982Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1982. ; MICROFICHE COPY AVAILABLE IN ARCHIVES AND SCIENCE ; Bibliography: leaves 89-93. ; by Joseph Yukich. ; Ph.D.
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Convergence for varying measures in the topological case
Annali Di Matematica Pura Ed Applicata, 2023Kazimierz Musial +2 more
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CONVERGENCE OF ITERATES OF PROBABILITY MEASURES ON LOCALLY COMPACT GROUPS
Baku Mathematical JournalSome related problems are also ...
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