The xlogx condition for general branching processes

Journal of Applied Probability

Volumn 35, Issue 3, 1998, Pages 537-544

  Olofsson, Peter ^a  

^a Rice University   (United States)

Author keywords

General branching process; Immigration; X log x condition

Indexed keywords

EID: 0032260587     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1239/jap/1032265202     Document Type: Article

References (8)

1. ATHREYA, K. B. (1997). Change of measures for Markov chains and the Llog L theorem for branching processes. Technical Report #M97-9, Department of Mathematics, Iowa State University.
2. ATHREYA, K. B. AND Ney, P. (1972). Branching Processes. Springer, Berlin.
3. DURRETT, R. (1991). Probability: Theory and Examples. Wadsworth, Pacific Grove, CA.
4. JAGERS, P. (1989). General branching processes as Markov fields. Stoch. Proc. Appl. 32, 183-212.
5. JAGERS, P. AND Nerman, O. (1984). The growth and composition of branching populations. Adv. Appl. Prob. 16, 221-259.
6. 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.
7. NERMAN, O. (1981). On the convergence of supercritical general (c-m-j) branching processes. Z. Wahrscheinlichkeit-sth. 57, 365-395.
8. OLOFSSON, P. (1996). General branching processes with immigration. J. Appl. Prob. 33, 940-948.