On Maximal Number of Offspring in Branching pro -
نویسندگان
چکیده
The number Yn of oospring of the most proliic individual in the nth generation of a Bienaym e-Galton-Watson process is studied. The asymptotic behavior of Yn as n ! 1 may be viewed as an extreme value problem for i.i.d. random variables with random sample size. Limit theorems for both Yn and EYn provided that the oospring mean is nite are obtained using some convergence results for branching processes as well as a transfer limit lemma for maxima. Subcritical, critical and supercritical branching processes are considered separately.
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تاریخ انتشار 1999