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Rates of decay for the survival probability of a mutant gene II The multitype case

โœ Scribed by K. B. Athreya

Publisher
Springer
Year
1993
Tongue
English
Weight
359 KB
Volume
32
Category
Article
ISSN
0303-6812

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Rates of decay for the survival probabil
Rates of decay for the survival probability of a mutant gene
โœ K. B. Athreya ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Springer ๐ŸŒ English โš– 203 KB

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

Asymptotic rates of growth of the extinc
Asymptotic rates of growth of the extinction probability of a mutant gene
โœ Fred M. Hoppe ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Springer ๐ŸŒ English โš– 876 KB

We prove that a result of Haldane (1927) that relates the asymptotic behaviour of the extinction probability of a slightly supercritical Poisson branching process to the mean number of offspring is true for a general Bienaym6-G a l t o n -W a t s o n branching process, provided that the second deriv