Self-decomposable discrete distributions and branching processes
Copyright policy )Self-decomposable discrete distributions and branching processes
Self-decomposable distributions are known to be absolutely continuous. In this note analogues of the concept of self-decomposability are proposed for distributions on the set ℕ0 of nonnegative integers. To each of them corresponds an analogue of multiplication (in distribution) that preserves ℕ0-valuedness and is characterized by a composition semigroup of probability generating functions, such as occur in branching processes.
- Eindhoven University of Technology Netherlands
- Technical University Eindhoven Netherlands
- Radboud University Nijmegen Netherlands
- Vrije Universiteit Brussel Belgium
- Kathmandu University Nepal
representation theorems, central limit problem, Branching processes (Galton-Watson, birth-and-death, etc.), Infinitely divisible distributions; stable distributions, Central limit and other weak theorems, self-decomposable discrete distributions
representation theorems, central limit problem, Branching processes (Galton-Watson, birth-and-death, etc.), Infinitely divisible distributions; stable distributions, Central limit and other weak theorems, self-decomposable discrete distributions
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