The probability of survival of a mutant
โ Scribed by Ewens, W J
- Book ID
- 109856713
- Publisher
- Nature Publishing Group
- Year
- 1967
- Tongue
- English
- Weight
- 49 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0018-067X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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.
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