Results 221 to 230 of about 36,048 (260)

On Weak Convergence of Gaussian Measures

Theory of Probability & Its Applications, 1988
See the review in Zbl 0641.60004.
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Weak Convergence of Measures

2012
In this chapter we consider the fundamental concept of weak convergence of probability measures. This will lay the groundwork for the precise formulation of the Central Limit Theorem and other Limit Theorems of probability theory (see Chap. 10).
Leonid Koralov, Yakov G. Sinai
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Weak Convergence of Measures

2009
We shall now prove Vitali’s Theorem 3.10 and Theorem 3,11. As we noted in the remark after the statement of Theorem 3.11, Vi tali’s results give non-trivial necessary and sufficient conditions in order that $$\mathop {\lim }\limits_n \int\limits_x {|{f_n} - f|d\mu = 0} $$ (6.1) , where (X, 𝒜, µ) is a measure space and \( \left\{ {{f_n}:n = 1,
John J. Benedetto, Wojciech Czaja
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Weak convergence of vector measures

Publicationes Mathematicae Debrecen, 1994
Summary: We consider a notion of weak convergence for measures taking values in a Banach space. A version of Prokhoroff's Theorem is proved for such measures, and applications are given to the existence of products of measures with values in a Banach algebra and to a Strassen's Theorem for measures taking values in the positive cone of a Banach lattice.
März, Michael, Shortt, R. M.
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Weak Convergence of Probability Measures

1978
The 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, 1992
Let \(\mathbb{M}\) 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 Probability Measures

2013
Let 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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Weak convergence of spectral measures

1997
Summary: 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

1977
Throughout 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, 2002
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