Results 1 to 10 of about 235,890 (287)
µ-Integrable Functions and Weak Convergence of Probability Measures in Complete Paranormed Spaces [PDF]
Mathematics, 2017 This paper works with functions defined in metric spaces and takes values in complete paranormed vector spaces or in Banach spaces, and proves some necessary and sufficient conditions for weak convergence of probability measures.
Renying Zeng
doaj +3 more sources
Weak Convergence of Probability Measures [PDF]
, 2020 Lecture notes based on the book Convergence of Probability Measures by Patrick Billingsley.
S. Sagitov
semanticscholar +5 more sources
Laplace's Method Revisited: Weak Convergence of Probability Measures
The Annals of Probability, 1980 Let $Q$ be a fixed probability on the Borel $\sigma$-field in $R^n$ and $H$ be an energy function continuous in $R^n$. A set $N$ is related to $H$ by $N = \{x \mid\inf_yH(y) = H(x)\}$. Laplace's method, which is interpreted as weak convergence of probabilities, is used to introduce a probability $P$ on $N$.
C. Hwang
semanticscholar +4 more sources
Weak Convergence of Probability Measures on Metric Spaces of Nonlinear Operators [PDF]
Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES, 2016 The conditions for weak convergence of a sequence of probability measures on metric spaces of nonlinear operators defined on some subsets of a real separable Banach space are established.
Wenhong Wei
semanticscholar +2 more sources
Weak Convergence of Probability Measures on Hyperspaces with the Upper Fell-Topology [PDF]
Bulletin of the Iranian Mathematical SocietyLet E be a locally compact second countable Hausdorff space and F\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\
Dietmar Ferger
semanticscholar +3 more sources
The linear topology associated with weak convergence of probability measures [PDF]
Missouri Journal of Mathematical Sciences, 2013 This expository note aims at illustrating weak convergence of probability measures from a broader view than a previously published paper. Though the results are standard for functional analysts, this approach is rarely known by statisticians and our ...
L. Hong
semanticscholar +6 more sources
Weak convergence of probability measures to Choquet capacity functionals
TURKISH JOURNAL OF MATHEMATICS, 2018 In the definition of weak convergence of probability measures it is assumed that the limit is a probability measure as well. We get rid of this assumption and require that the limit merely needs to be a Choquet-capacity functional.
D. Ferger
semanticscholar +4 more sources
WEAK CONVERGENCE OF PROBABILITY MEASURES ALONG PROJECTIVE SYSTEMS
Demonstratio Mathematica, 1993 The author generalizes the notion of weak convergence of probability measures to the case when each measure \(\mu_ \alpha\) of a net \(\{\mu_ \alpha\}\) of probability measures is defined on the Borel \(\sigma\)- algebra of a metrizable topological space \(\Omega_ \alpha\) and the system \(\{\Omega_ \alpha\}\) forms a projective system of topological ...
U. Çapar
semanticscholar +3 more sources
Weak-Convergence of Probability-Measures in Spaces of Smooth Functions
Stochastic Processes and their Applications, 1986 The paper deals with conditions of weak convergence of measures on the space \(C^k\) of \(k\)-times differentiable functions defined on \(\mathbb R^n\) (or on a ball of \(\mathbb R^n)\) with values in \(\mathbb R^N\) \((N\) and \(n\) are positive integers). The author has found necessary and sufficient conditions for tightness of a sequence of measures
Richard J. Wilson
semanticscholar +3 more sources
Weak Convergence of Probability Measures on the Function Space $C\lbrack 0, \infty)$
The Annals of Mathematical Statistics, 1969 : A weak convergence theory is developed for sequences of probability measures on the function space of the title problem.
W. Whitt
semanticscholar +4 more sources