On strongly unimodal infinitely divisible distributions

DOI10.1214/aop/1176993769zbMath0495.60021OpenAlexW2092046868MaRDI QIDQ1169740

Makoto Yamazato

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1214/aop/1176993769

zbMATH Keywords

infinitely divisible distributionslog-concavitymixture of exponential distributionsLevy measurestrongly unimodal

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Characteristic functions; other transforms (60E10) Probability distributions: general theory (60E05) Convexity of real functions in one variable, generalizations (26A51)

Related Items (8)

Some examples on unimodality of Lévy processes ⋮ On the Strong Unimodality of Lévy Processes ⋮ Oscillation of modes of some semi-stable Lévy processes ⋮ On a Family of Trimodal Distributions ⋮ On subclasses of infinitely divisible distributions on R related to hitting time distributions of 1-dimensional generalized diffusion processes ⋮ On Yamazato's property of unimodal one-sided Lévy processes ⋮ Sufficient conditions for unimodality of non-symmetric Lévy processes ⋮ Positive stable densities and the bell-shape

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