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Compactness and the Concentration Functions of the Convolutions of a Distribution

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Publication:5472363
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DOI10.1137/S0040585X97981603zbMATH Open1094.60009MaRDI QIDQ5472363

B. A. Rogozin

Publication date: 9 June 2006

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)




zbMATH Keywords

medianquantilesumLévy concentration functionunimodal distributionindependent and identically distributed random variablescensored variancefinite noncompactnessmajorizied varying function


Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Probability distributions: general theory (60E05)



Related Items (5)

Closeness of convolutions of probability measures ⋮ On convolvability conditions for distributions ⋮ Multiple congruent convolutions of probability densities and estimates in the \(L^\infty([0,1)^n)\) space. ⋮ Title not available (Why is that?) ⋮ Concentration-compacité et γ-convergence






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