On the Existence and Convergence of Pseudomoments for Variables in the Domain of Normal Attraction of an Operator Stable Distribution

DOI10.2307/2046401zbMath0643.60014OpenAlexW4253029247MaRDI QIDQ3785683

Daniel Charles Weiner

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2046401

zbMATH Keywords

domain of normal attractionoperator-stable distributionsExistence and convergence of pseudomoments

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Central limit and other weak theorems (60F05) Probability theory on linear topological spaces (60B11)

Related Items (1)

Pseudomoments for Generalized Domains of Attraction

Cites Work

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• The symmetry group and exponents of operator stable probability measures
• Moments of distributions attracted to operator-stable laws
• Operator stable laws: Series representations and domains of normal attraction
• Operator-stable distributions and stable marginals
• Exponential moments of vector valued random series and triangular arrays
• Operator-stable distribution on \(R^ 2\) with multiple exponents
• Operator-stable laws: Multiple exponents and elliptical symmetry
• The domain of normal attraction of an operator-stable law
• Affine normability of partial sums of I.I.D. random vectors: A characterization
• Remarks on operator-stable measures
• Convergence of moments and related functional in the general central limit theorem in banach spaces
• Operator-Stable Probability Distributions on Vector Groups

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