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Titlebook: Analytical Methods in Probability Theory; Proceedings of the C Daniel Dugué,Eugene Lukacs,Vijay K. Rohatgi Conference proceedings 1981 Spri

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Analytical Methods in Probability Theory978-3-540-36785-7Series ISSN 0075-8434 Series E-ISSN 1617-9692
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0075-8434 Overview: 978-3-540-10823-8978-3-540-36785-7Series ISSN 0075-8434 Series E-ISSN 1617-9692
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Introduction to Disordered Pinning Models,distributions on the set ℕ. of nonnegative integers. To each of them corresponds an analogue of multiplication (in distribution) that preserves ℕ.-valuedness and is characterized by a composition semigroup of probability generating functions, such as occur in branching processes.
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Statistical Theory of Fragmentationhalf-plane, homogeneous tree and commutative group. It explains the role of spherical functions, specially the positive definite ones. In a second part, classical problems in probability are raised in that context : random walks, factorisations of probability distributions, stationary processes, and problems of Schoenberg type.
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Synchronizing Sound and CharacterWeak limit problems for sequences of measures on normal, particularly metric, spaces are reduced by transformations to limit problems on simpler spaces than the original one’s. Subject classification: 60 F 17, 46 G 99.
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Disneyland and the Perversity of ,,This paper has two purposes: to give a characterization of unimodal distribution functions (Theorem 2.2) and a representation theorem for the class of unimodal distribution functions (Theorem 3.3), both in terms of their Lévy concentration functions.
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