Abstract
A continuous-state population-size-dependent branching process {X
t
} is a modification of the Jiřina process. We prove that such a process arises as the limit of a sequence of suitably scaled population-size-dependent branching processes with discrete states. The extinction problem for the population X
t
is discussed, and the limit distribution of X
t
/ t obtained when X
t
tends to infinity.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Cited by
4 articles.
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