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...
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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...
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چکیده ندارد.
Weak Convergence of Convolution Products of Probability Measures on Semihypergroups
Let S be a topological semihypergroup. As it is known for hypergroups, the lack of an algebraic structure on a semihypergroup pause a serious challenge in extending results from semigroups. We use the notion of concretization or pseudomultiplication, to prove some results on weak convergence of the sequence of averages of convolution powers of probability measures on topological semihypergroups...
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We present a unified view to models for text databases, proving new relations between empirical and theoretical models. A particular case that we cover is the Web. We also introduce a simple model for random queries and the size of their answers, giving experimental results that support them. As an example of the importance of text modeling, we analyze time and space overhead of inverted
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ژورنال
عنوان ژورنال: Stochastic Processes and their Applications
سال: 1974
ISSN: 0304-4149
DOI: 10.1016/0304-4149(74)90016-7