Stability equations for processes with stationary independent increments using branching processes and Poisson mixtures
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Publication:2366182
DOI10.1016/0304-4149(93)90070-KzbMath0773.60081MaRDI QIDQ2366182
Publication date: 29 June 1993
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
subcritical branching processesPoisson mixturesgeneralized multiplication operationstable self-decomposable and infinitely divisible distributions
Infinitely divisible distributions; stable distributions (60E07) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Markov processes (60J99)
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Cites Work
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- On characterizations of beta and gamma distributions
- A note on an article by Artikis
- Note on a characterization of exponential distributions
- On characterizations of exponential distributions
- Discrete analogues of self-decomposability and stability
- Note on a characterization of gamma distributions
- Note on discrete a-unimodality
- Integer-valued branching processes with immigration
- Some results on discrete a–monotonicity
- On a stochastic difference equation and a representation of non–negative infinitely divisible random variables
- Some properties of continuous-state branching processes, with applications to Bartoszyński’s virus model
- A note on certain power mixtures
- Self-decomposable discrete distributions and branching processes
- Asymptotic behaviour of continuous time, continuous state-space branching processes
- Poisson mixtures and quasi-infinite divisibility of distributions
- A generalized unimodality