منابع مشابه
Weak Convergence of Probability Measures
This text contains my lecture notes for the graduate course “Weak Convergence” given in September-October 2013 and then in March-May 2015. The course is based on the book Convergence of Probability Measures by Patrick Billingsley, partially covering Chapters 1-3, 5-9, 12-14, 16, as well as appendices. In this text the formula label (∗) operates locally. The visible theorem labels often show the...
متن کاملWeak-Star Convergence of Convex Sets
Author’s note. The authors were visiting Dalhousie University in 1988 during a seventeen-day labor dispute that left the Mathematics Department empty. During this period they occupied themselves writing the present paper, on a natural topic in variational analysis known elsewhere as “scalar convergence” [22, 16, 4, 17, 3, 18]. Although referenced in the literature [19, 2], this work was never p...
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We prove a multiparameter version of a classical theorem of Jones and Journé on weak-star convergence in the Hardy space H.
متن کاملTopics in weak convergence of probability measures
The first part of the paper deals with general features of weak star convergence from a topological point of view. We present basic facts about weak and weak star topologies, dual spaces and representations of linear functionals as Radon measures. A special attention is payed to finitely additive measures and some results regarding the Baire sets. We prove that in a wide class of topological sp...
متن کاملIntegral Convergence Related to Weak Convergence of Measures
We consider probability measures µ n , µ on a metric space X such that µ n weakly converges to µ. The following convergence lim n→∞ X f n (x)µ n (dx) = X f (x)µ(dx) is proved under some restrictions on real valued functions f n and f which are measurable, not necessarily continuous nor bounded.
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ژورنال
عنوان ژورنال: International Journal of Pure and Apllied Mathematics
سال: 2013
ISSN: 1311-8080,1314-3395
DOI: 10.12732/ijpam.v88i4.6