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Weak Convergence of Probability Measures
1978The methods of the theory of weak convergence of probability measures are of wide use in many areas of applications to statistics, operations research and stochastic control theory, where it is convenient or useful to approximate a process by a sequence of other processes or vice versa.
Harold J. Kushner, Dean S. Clark
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Weak Convergence of Integrands and the Young Measure Representation
SIAM Journal on Mathematical Analysis, 1992Let \(\mathbb{M}\) be the collection of the \(m\times n\) matrices and \(\varphi:\mathbb{M}\to\mathbb{R}\). The main results of this paper are as follows: Theorem 1. Let \(\varphi\) be continuous and quasi-convex and satisfy \(0\leq\varphi(A)\leq C(1+| A|^ p)\), \(A\in\mathbb{M}\), where \(1\leq p\leq\infty\).
Kinderlehrer, David, Pedregal, Pablo
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Weak convergence of spectral measures
1997Summary: The property of weak compactness for sequences of finite Borel measures on the real line is extended to a sequence of families of Borel measures on \(\mathbb{R}\) and discussed in the study of sequences of bounded selfadjoint operators on a separable real Hilbert space.
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Weak Convergence of Probability Measures
1977Throughout this chapter we shall concern ourselves with the study of probability measures on separable metric spaces only. As usual, for any such metric space X we shall write B X for the borel σ-algebra of subsets of X. We shall denote by C(X) the space of all bounded real valued continuous functions on X and M0(X) the space of all probability ...
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On Weak Convergence of Probability Measures in a Banach Space
Journal of Mathematical Sciences, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Weak Convergence of Measures on [0, 1]
Journal of the London Mathematical Society, 1968Friedman, N. +2 more
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Weak Convergence of Probability Measures
2013Let X = (X1, X2,…, X p ) be a p-vector variable with df \( \mathbb{F} \) and dm denoted by µ X or µF. The df F j of X j is called the j th marginal of X or of \( \mathbb{F} \) or of µF, 1 ≤ j ≤ p.
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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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Effective weak and vague convergence of measures on the real line
Archive for Mathematical Logic, 2023Diego Rojas
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Weak convergence of nonadditive measures based on nonlinear integral functionals
Fuzzy Sets and Systems, 2016Jun Kawabe
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