Multiplicative strong unimodality for positive stable laws

DOI10.1090/S0002-9939-2010-10697-4zbMath1222.60020arXiv1002.4977MaRDI QIDQ5200185

Thomas Simon

Publication date: 1 August 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.4977

zbMATH Keywords

log-concavitybeta and gamma variablesstrong unimodalitypositive stable law

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Inequalities; stochastic orderings (60E15)

Related Items (10)

A proof of Bondesson's conjecture on stable densities ⋮ On the unimodality of power transformations of positive stable densities ⋮ Further examples of GGC and HCM densities ⋮ Total positivity in stable semigroups ⋮ Total positivity of a Cauchy kernel ⋮ Gaussian mixtures: entropy and geometric inequalities ⋮ On a convexity property of sections of the cross-polytope ⋮ Models of gradient type with sub-quadratic actions ⋮ Positive stable densities and the bell-shape ⋮ Bounds for Turánians of modified Bessel functions

Cites Work

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• On the bell-shape of stable densities
• Stable densities under change of scale and total variation inequalities
• On the Unimodality of Geometric Stable Laws
• On a product of modified Bessel functions
• Some representations of stable random variables as products
• Expansions for the positive stable laws
• Multiplicative Strong Unimodality
• Exercises in Probability

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