We prove a general result about the asymptotic behaviour of the survival probability of a slightly supercritical multitype Bienaym6-Galton-Watson branching process. This is the complete analogue of a result which Ewens (1968) obtained for a Poisson branching process.
โฆ LIBER โฆ
The survival probability of a mutant in a multidimensional population
โ Scribed by Fred M. Hoppe
- Publisher
- Springer
- Year
- 1992
- Tongue
- English
- Weight
- 379 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0303-6812
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If q~ is the extinction probability of a slightly supercritical branching process with offspring distribution (Pgr "r = 0, 1, 2 . . . . }, then it is shown that if 2 This provides a simple set of sufficient condi- tions for the validity of a conjecture of Ewens (1969) for the survival probability
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