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A note on the weak convergence of probability measures in the D[0,1] space
Statistics & Probability Letters, 2008Abstract Let τ be a regular metric as defined below for the D = D [ 0 , 1 ] space. Even when ( D , τ ) is not a separable and complete metric space we show (i) that the usual conditions on a sequence of probability measures in ( D , τ ) ensures its weak convergence and (ii) that Prohorov's theorem in ( D , τ ) can
R. Pakshirajan
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Applied Mathematics & Optimization, 1996
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M. Ferrante
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Ferrante
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On contiguity and weak convergence of probability measures
, 1983B. Grigelionis, R. Mikulevicius
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1. Weak Convergence of Probability Measures and Uniformity Classes
, 2010R. Bhattacharya, R. Rao
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A note on the extension and weak convergence of some probability measures
Advances in Applied Probability, 1976Douglas R. Miller, F. Sentilles
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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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UNIQUENESS IN MOMENT — PROBLEMS OVER NUCLEAR SPACES AND WEAK CONVERGENCE OF PROBABILITY MEASURES
Reviews in Mathematical Physics, 1993Based on results from the theory of ordered (topological) vector spaces and on the theory of Fourier transforms of Radon probability measures (Bochner–Minlos–Schwartz) we present a solution of infinite dimensional moment problems over real nuclear spaces E. Both moment and truncated moment problems are treated simultaneously.
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Weak Convergence of Probability Measures on Rp and C[0,1]
1995The purpose of this appendix is to explain the concept of weak convergence on C[0,1], the space of continuous functions on the unit interval [0,1]. It explains what is behind the formulae involving Brownian motion and stochastic integrals, which appear in the discussion of the limit distributions in cointegration theory.
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Weak Convergence of Probability Measures on the Line and Helly’s Theorems
1992In the proof of the De Moivre-Laplace Limit Theorem (see Lecture 3) we came across the following situation. We considered a random variable η n which takes values of the form \( k/\sqrt {npq} \) where k 0 is an integer, with probabilities of the form $$ \frac{1}{{\sqrt {2\pi npq} }}\exp \left( { - \frac{1}{2}\frac{{{k^2}}}{{npq}}} \right)\left( {1 +
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American Cancer Society's report on the status of cancer disparities in the United States, 2021
Ca-A Cancer Journal for Clinicians, 2022Farhad Islami +2 more
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