Asexual versus promiscuous bisexual Galton-Watson processes: The extinction probability ratio

Annals of Applied Probability

Volumn 12, Issue 1, 2002, Pages 125-142

  Alsmeyer, Gerold ^a   Rösler, Uwe ^b  

^a UNIVERSITY OF MÜNSTER   (Germany)

^b UNIVERSITY OF KIEL   (Germany)

Author keywords

Bisexual Gallon Watson process; Extinction probability; Promiscuous mating; Quasi invariant measure; Time reversal

Indexed keywords

EID: 0041472354     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: 10.1214/aoap/1015961158     Document Type: Article

References (9)

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2. ALSMEYER, G. and RÖSLER, U. (2001). The entrance Martin boundary of the Galton-Watson process. Unpublished manuscript.
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4. BIGGINS, J. D. and NADARAJAH, S. (1993), Near-constancy of the Harris function in the simple branching process. Comm. Statist. Stochastic Models 9 435-444.
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8. HULL, D. M. (1982). A necessary condition for extinction in those bisexual Galton-Watson branching processes governed by superadditive mating functions. J. Appl. Probab. 19 847-850.
9. HULL, D. M. (1984). Conditions for extinction in certain bisexual Galton-Watson branching processes. J. Appl. Probab. 21 414-418.