Domains of operator semi-attraction of operator semi-stable probability measures

zbMath1228.60010MaRDI QIDQ991551

Ho Dang Phuc

Publication date: 7 September 2010

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: http://www.math.ac.vn/publications/acta/34/Toc_ACTA_2_34.htm

zbMATH Keywords

domain of operator attractiondomain of operator semi-attractionoperator semi-stableoperator stable

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Convergence of probability measures (60B10)

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Invariance principles for generalized domains of semistable attraction ⋮ Domains of operator semi-attraction of probability measures on Banach spaces ⋮ Large deviations for sums of random vectors attracted to operator semi-stable laws ⋮ A LIL and limit distributions for trimmed sums of random vectors attracted to operator semi-stable laws ⋮ Limit theorems for probability measures on simply connected nilpotent Lie groups