A generalized Sibuya distribution

DOI10.1007/s10463-017-0611-3zbMath1398.60028OpenAlexW2551535512MaRDI QIDQ1656865

Krzysztof Podgórski, Tomasz J. Kozubowski

Publication date: 10 August 2018

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://lup.lub.lu.se/record/93211cd6-2790-4290-a3b7-12383b18b74c

zbMATH Keywords

recordsextreme value theoryinfinite divisibilitypower lawmixed Poisson processSibuya distributionpure death process

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Exact distribution theory in statistics (62E15) Extreme value theory; extremal stochastic processes (60G70) Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10)

Related Items (14)

Asymptotic genealogies for a class of generalized Wright-Fisher models ⋮ The evaluation of a weighted sum of Gauss hypergeometric functions and its connection with Galton-Watson processes ⋮ REGENERATIVE MUTATION PROCESSES RELATED TO THE SELFDECOMPOSABILITY OF SIBUYA DISTRIBUTIONS ⋮ Closure of beta and Dirichlet distributions under discrete mixing ⋮ Quasi-Stationary Distributions for the Voter Model on Complete Bipartite Graphs ⋮ Simple functions of independent beta random variables that follow beta distributions ⋮ On self-similar Bernstein functions and corresponding generalized fractional derivatives ⋮ A computational approach to estimation of discrete Pareto parameters ⋮ On binomial thinning and mixing ⋮ On new mechanisms leading to heavy-tailed distributions related to the ones of Yule-Simon ⋮ Certain bivariate distributions and random processes connected with maxima and minima ⋮ Is the Sibuya distribution a progeny? ⋮ Scaling features of two special Markov chains involving total disasters ⋮ Chance mechanisms involving Sibuya distribution and its relatives

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Discrete stable random variables
• Discrete Burr and discrete Pareto distributions
• On Mittag-Leffler distributions and related stochastic processes
• Discrete analogues of self-decomposability and stability
• Generalized hypergeometric, digamma and trigamma distributions
• The generalized hypergeometric family of distributions
• Generalized gamma convolutions and related classes of distributions and densities
• A triptych of discrete distributions related to the stable law
• Characterization of discrete laws via mixed sums and Markov branching processes
• Scaled Sibuya distribution and discrete self-decomposability
• Discrete Pareto distributions
• Discrete Mittag-Leffler distributions
• Critical phenomena in natural sciences. Chaos, fractals, selforganization and disorder: Concepts and tools.
• Critical Truths About Power Laws
• Power-Law Distributions in Empirical Data
• On Linnik's continuous-time random walks
• Parameter Estimation for the Truncated Pareto Distribution

This page was built for publication: A generalized Sibuya distribution