Some classes of limit laws containing the stable distributions

DOI10.1007/BF01013458zbMath0438.60023MaRDI QIDQ3880003

Thomas A. O'Connor

Publication date: 1981

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

zbMATH Keywords

characteristic functioninfinitely divisible characteristic functionscharacterization theorems of stable distribuions

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Characteristic functions; other transforms (60E10)

Related Items (3)

\(\alpha \)-selfdecomposable distributions and related Ornstein-Uhlenbeck type processes ⋮ Fourier transforms of measures from the classes \({\mathcal U}_ \beta{},\;-2 < \beta{}\leq{}-1\) ⋮ Classes of Infinitely Divisible Distributions and Examples

Cites Work

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• Discrete analogues of self-decomposability and stability
• Unimodality of the Levy spectral function
• Generalized renewal sequences and infinitely divisible lattice distributions
• Unimodality of infinitely divisible distribution functions of class L
• Infinitely divisible distributions with unimodal Levy spectral functions
• Characterization of subclasses of class L probability distributions
• On distribution functions of class L
• Infinitely divisible distributions similar to class L distributions
• Lipschitz Behavior and Integrability of Characteristic Functions
• On Moments of Infinitely Divisible Distribution Functions

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