Spectral decomposition for generalized domains of attraction

DOI10.1214/aop/1176990456zbMath0732.60025OpenAlexW1966781029MaRDI QIDQ808513

Mark M. Meerschaert

Publication date: 1991

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176990456

zbMATH Keywords

convergence criteriaspectral decompositiongeneralized domain of attractionoperator-stable lawRegular variation techniques

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Central limit and other weak theorems (60F05) Special properties of functions of several variables, Hölder conditions, etc. (26B35)

Related Items (9)

Spectral decomposition for operator self-similar processes and their generalized domains of attraction ⋮ Multivariable Regular Variation of Functions and Measures ⋮ Norming operators for generalized domains of attraction ⋮ Invariance principles for generalized domains of semistable attraction ⋮ Pseudomoments for Generalized Domains of Attraction ⋮ Large deviations for sums of random vectors attracted to operator semi-stable laws ⋮ Moment estimator for random vectors with heavy tails ⋮ Regular variation and generalized domains of attraction in \(\mathbb{R}^ k\) ⋮ The structure of the exponents and symmetries of an operator stable measure

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