Semi-self-decomposable distributions on \(\mathbb Z_{+}\)

DOI10.1007/s10463-007-0124-6zbMath1275.60023OpenAlexW2024633757MaRDI QIDQ734398

Nadjib Bouzar

Publication date: 13 October 2009

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

Full work available at URL: https://doi.org/10.1007/s10463-007-0124-6

zbMATH Keywords

weak convergenceprobability generating functionsinfinite divisibilitydiscrete distributionssemistabilityPoisson mixtures

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Characteristic functions; other transforms (60E10)

Related Items (3)

REGENERATIVE MUTATION PROCESSES RELATED TO THE SELFDECOMPOSABILITY OF SIBUYA DISTRIBUTIONS ⋮ Limit Distributions of Random Sums of Z₊-Valued Random Variables ⋮ Chance mechanisms involving Sibuya distribution and its relatives

Cites Work

• Discrete analogues of self-decomposability and stability
• Unimodality of infinitely divisible distribution functions of class L
• Semi-selfdecomposable distributions and a new class of limit theorems
• Semi-selfsimilar processes
• Scaled Sibuya distribution and discrete self-decomposability
• Discrete semi-stable distributions
• Operator semi-selfdecomposability, \((C,Q)\)-decomposability and related nested classes
• Self-decomposable discrete distributions and branching processes
• Multiply self-decomposable probability measures on ?+ and ?+
• Criteria for recurrence and transience of semistable processes
• ON LÉVY STABLE AND SEMISTABLE DISTRIBUTIONS
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