Asymptotic behaviour of population-size-dependent branching processes in Markovian random environments

Journal of Applied Probability

Volumn 36, Issue 2, 1999, Pages 611-619

  Wang, Han Xing ^a   Fang, Dafan ^b  

^a SHANGHAI UNIVERSITY   (China)

^b HUNAN INSTITUTE OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Branching models; Extinction probabilities; Markov chains in random environments

Indexed keywords

EID: 0033235825     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1017/S002190020001737X     Document Type: Article

References (8)

1. ATHREYA, K. B. AND KARLIN, S. (1971). On branching processes with random environments. I: extinction probabilities. Ann. Math. Statist. 42, 1499-1520.
2. COGBURN, R. (1980). Markov chains in random environments: the case of Markovian environments. Ann. Prob. 8, 908-916.
3. COGBURN, R. (1984). The ergodic theory of Markov chains in random environments. Z. Wahrscheinlichkeitsth. 66, 109-128.
4. FUJIMAGARI, T. (1976). Controlled Galton-Watson process and its asymptotic behaviour. Kodai Math. Sem. Rep. 27, 11-18.
5. KLEBANER, F. C. (1984). On population-size-dependent branching process. Adv. Appl. Prob. 16, 30-55.
6. KLEBANER, F. C. (1984). Geometric rate of growth in population-size-dependent branching processes. J. Appl. Prob. 21, 40-49.
7. PIERRE LOTI VIAUD, D. (1994). A strong law and a central limit theorem for controlled Galton-Watson process. J. Appl. Prob. 31, 22-37.
8. WANG, H.-X. (1999). Extinction of population-size-dependent branching processes in random environments. J. Appl. Prob. 36, 146-154.