Family size order statistics in branching processes with immigration
George P. YanevDepartment of Mathematics , University of South Florida , Tampa, FL, 33620, USAChris P. TsokosDepartment of Mathematics , University of South Florida , Tampa, FL, 33620, USA
2000en
ABI
Annotatsiya
We study the kth largest value,, among the offspring of particles living in the (n-1)st generation of a branching process with immigration. In particular, stands for the offspring of the most prolific particle in that generation. Limit theorems for are proved. The results are obtained by combining extreme value theory methods and known results for the behavior of the population size in branching processes with immigration
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