Moments of random vectors which belong to some domain of normal attraction

DOI10.1214/aop/1176990863zbMath0706.60019OpenAlexW1964736249MaRDI QIDQ918560

Mark M. Meerschaert

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1214/aop/1176990863

zbMATH Keywords

regular variationoperator stable lawdomain of normal attractionexistence of absolute moments

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Central limit and other weak theorems (60F05)

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\({\mathcal D}\)-domains of attraction of stable measures on stratified Lie groups, Moments of measures attracted to operator semi-stable laws, Rates of convergence in the operator-stable limit theorem, Pseudomoments for Generalized Domains of Attraction, Dimension results for sample paths of operator stable Lévy processes, Regular variation and generalized domains of attraction in \(\mathbb{R}^ k\), The structure of the exponents and symmetries of an operator stable measure