On Mittag-Leffler distributions and related stochastic processes

DOI10.1016/j.cam.2015.09.031zbMath1355.60115OpenAlexW1939236588MaRDI QIDQ898944

Thierry E. Huillet

Publication date: 21 December 2015

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2015.09.031

zbMATH Keywords

renewal processstochastic growth modelsBolthausen-Sznitman coalescentimmigration and self-decomposabilityMittag-Leffler random variables and processesNeveu branching process with infinite mean

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Probability distributions: general theory (60E05) Self-similar stochastic processes (60G18) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Renewal theory (60K05)

Related Items (12)

The evaluation of a weighted sum of Gauss hypergeometric functions and its connection with Galton-Watson processes ⋮ A generalized Sibuya distribution ⋮ The computation of the probability density and distribution functions for some families of random variables by means of the Wynn-ρ accelerated Post-Widder formula ⋮ Additional aspects of the generalized linear-fractional branching process ⋮ A converse to the neo-classical inequality with an application to the Mittag-Leffler function ⋮ On the genealogy and coalescence times of Bienaymé–Galton–Watson branching processes ⋮ Controlled branching processes with continuous time ⋮ The tempered discrete Linnik distribution ⋮ On new mechanisms leading to heavy-tailed distributions related to the ones of Yule-Simon ⋮ Purely excessive functions and hitting times of continuous-time branching processes ⋮ On the numerical computation of the Mittag-Leffler function ⋮ Chance mechanisms involving Sibuya distribution and its relatives

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