General branching processes with immigration

Journal of Applied Probability

Volumn 33, Issue 4, 1996, Pages 940-948

  Olofsson, Peter ^a  

^a CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

Author keywords

General branching process; Immigration; Multi type

Indexed keywords

EID: 0030355398     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0021900200100373     Document Type: Article

References (10)

1. ASMUSSEN, S. AND HERING, H. (1976) Strong limit theorems for supercritical immigration-branching processes. Math. Scand. 39, 327-342.
2. ASMUSSEN, S. AND HERING, H. (1983) Branching Processes. Birkhäuser, Boston.
3. DURRETT, R. (1991) Probability: Theory and Examples. Wadsworth, Pacific Grove, CA.
4. JAGERS, P. (1975) Branching Processes with Biological Applications. Wiley, Chichester.
5. JAGERS, P. (1989) General branching processes as Markov fields. Stoch. Proc. Appl. 32, 183-212.
6. JAGERS, P. (1992) Stabilities and instabilities in population dynamics. J. Appl. Prob. 29, 770-780.
7. LYONS, R., PEMANTLE, R. AND PERES, Y. (1995) Conceptual proofs of L log L criteria for mean behaviour of branching processes. Ann. Prob. 3, 1125-1138.
8. NERMAN, O. (1981) On the convergence of supercritical general (C-M-J) branching processes. Z. Wahrscheinlichkeitsth. 57, 365-395.
9. SENETA, E. (1970) On the supercritical branching process with immigration. Math. Biosci. 7, 9-14.
10. SHURENKOV, V. M. (1992) Markov renewal theory and its applications to Markov ergodic processes. Preprint. Department of Mathematics, Chalmers University of Technology and Göteborg University.