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- Title
Diffusion Approximation of Branching Processes in Semi-Markov Environment.
- Authors
Limnios, Nikolaos; Yarovaya, Elena
- Abstract
We consider continuous-time Markov branching processes in semi-Markov random environment and obtain diffusion approximation results for the near critical case. The problem of semi-Markov environment, presented here, is new and more interesting than the Markov case, since it includes many particular interesting cases: Markov, renewal, etc. The particular case of the Markov random environment of continuous-time branching process diffusion approximation results are obtained.
- Subjects
BRANCHING processes; MARKOV processes; STOCHASTIC processes; DIFFUSION; DIFFUSION processes
- Publication
Methodology & Computing in Applied Probability, 2020, Vol 22, Issue 4, p1583
- ISSN
1387-5841
- Publication type
Article
- DOI
10.1007/s11009-020-09814-w