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Limit theorem for stationary distribution of a critical controlled branching process with immigration.
- Source :
-
Discrete Mathematics & Applications . Oct2023, Vol. 33 Issue 5, p325-337. 13p. - Publication Year :
- 2023
-
Abstract
- We consider the sequence {ξn,t}t≥1 of controlled critical branching processes with immigration, where n = 1, 2, ... is an integer parameter limiting the population size. It is shown that for n → ∞ the stationary distributions of considered branching processes normalized by n converge to the distribution of a random variable whose square has a gamma distribution. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09249265
- Volume :
- 33
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Discrete Mathematics & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 173015254
- Full Text :
- https://doi.org/10.1515/dma-2023-0030