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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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楼主: 大口水罐
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Introduction to Disordered Pinning Models,The authors consider the following problem due to A Rényi and I Vincze: if for the entire function f(t)=1+a.t+a.t.+. ... with positive coefficients we have .then is it necessary that f(t) ≡ e.? Some results in this direction were proved in [2], [5]. Now it is shown that if 1/f is completely monotone then we must have f(t) ≡ e..
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Introduction to MultifractalityWe study a kind of weak convergence of the distributions of compound point processes, when the space of measures is endowed with a topology which is closely related to the variational distance.
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Introduction to MultifractalityA method for the construction of certain characterization theorems is given. This method is restricted to characterizations by constant regression
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Characterizations of unimodal distribution functions,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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A theorem of Deny with applications to characterization problems,A theorem of Deny is stated and applications to certain characterization problems are indicated. A martingale proof of Deny’s theorem is given for a countable Abelian group.
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