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Weak Convergence of Probability Measures on Metric Spaces
2016Let \((S,\rho )\) be a metric space and let \(\mathcal {P}(S)\) be the set of all probability measures on \((S, \mathcal {B}(S)).\) In this chapter we consider a general formulation of convergence in \(\mathcal {P}(S)\), referred to as weak convergence or convergence in distribution.
Rabi Bhattacharya, Edward C. Waymire
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Semigroup Forum, 2004
Let \(S\) be a completely simple semigroup with a given Rees product structure \(A\times B\times C\). A subsemigroup of \(S\) is called a product subsemigroup if it can be represented in a way compatible with the product structure. The authors give conditions under which a subsemigroup of \(S\) is such a product subsemigroup. The area of application of
Budzban, Gregory, Mukherjea, Arunava
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Let \(S\) be a completely simple semigroup with a given Rees product structure \(A\times B\times C\). A subsemigroup of \(S\) is called a product subsemigroup if it can be represented in a way compatible with the product structure. The authors give conditions under which a subsemigroup of \(S\) is such a product subsemigroup. The area of application of
Budzban, Gregory, Mukherjea, Arunava
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Weak convergence of probability measures in the spaces of continuously differentiable functions
Siberian Mathematical Journal, 1993zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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 and random functions in the function space D[0,∞)
Journal of Applied Probability, 1973This paper extends the theory of weak convergence of probability measures and random functions in the function space D[0,1] to the case D [0,∞), elaborating ideas of C. Stone and W. Whitt. 7)[0,∞) is a suitable space for the analysis of many processes appearing in applied probability.
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The science reports of the Kanazawa University＝金沢大学理科報告, 1996
Girsanov's transformation of drift is applied in order to catch the movement of the mean vector of the limiting Wiener process in a central limit theorem for sequences of continuous quasimartingales. Two homogenization problems for diffusions are discussed as examples.
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Girsanov's transformation of drift is applied in order to catch the movement of the mean vector of the limiting Wiener process in a central limit theorem for sequences of continuous quasimartingales. Two homogenization problems for diffusions are discussed as examples.
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Effective weak and vague convergence of measures on the real line
Archive for Mathematical Logic, 2023Diego A Rojas
exaly
On contiguity and weak convergence of probability measures
1983B. Grigelionis, R. Mikulevičius
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