Operator-Semistable Distributions on ${\bf R}^d$

DOI10.1137/1131095zbMath0658.60015OpenAlexW2075722442MaRDI QIDQ3806437

V. Chorny

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1137/1131095

zbMATH Keywords

infinitely divisible measuresLevy spectral measureoperator-semistable probability distributions

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Probability theory on linear topological spaces (60B11)

Related Items (9)

Recurrence and transience of operator semi-stable processes ⋮ Invariance principles for generalized domains of semistable attraction ⋮ Almost sure limit theorems of mantissa type for semistable domains of attraction ⋮ Asymptotic behavior of semistable Lévy exponents and applications to fractal path properties ⋮ The Hausdorff dimension of operator semistable Lévy processes ⋮ 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 ⋮ Multiple points of operator semistable Lévy processes ⋮ Some new limit theorems for vector space- and group-valued random variables

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