Free infinite divisibility for generalized power distributions with free Poisson term

zbMath1479.46076arXiv1806.07738MaRDI QIDQ4999836

Junki Morishita, Yuki Ueda

Publication date: 2 July 2021

Full work available at URL: https://arxiv.org/abs/1806.07738

zbMATH Keywords

free cumulantsfree infinite divisibilitygeneralised power distributions

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Free probability and free operator algebras (46L54) Continuation of analytic objects in several complex variables (32D15)

Related Items (2)

On the free Lévy measure of the normal distribution ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• On the Matsumoto-Yor property in free probability
• Free infinite divisibility for beta distributions and related ones
• A class of probability distributions that is closed with respect to addition as well as multiplication of independent random variables
• Addition of certain non-commuting random variables
• Addition of freely independent random variables
• Generalized gamma convolutions and related classes of distributions and densities
• Stable laws and domains of attraction in free probability theory
• On free generalized inverse Gaussian distributions
• Free infinite divisibility of free multiplicative mixtures of the Wigner distribution
• On a class of explicit Cauchy-Stieltjes transforms related to monotone stable and free Poisson laws
• Free infinite divisibility for powers of random variables
• On the Law of Free Subordinators
• Another Failure in the Analogy Between Gaussian and Semicircle Laws
• Lectures on the Combinatorics of Free Probability
• On the infinite divisbility of the Pareto distribution
• On the infinite divisibility of the lognormal distribution
• Lévy laws in free probability
• Note on the Infinite Divisibility of Exponential Mixtures

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