On a Continuous-state Population-size-dependent Branching Process and Its Extinction
نویسندگان
چکیده
A continuous-state population-size-dependent branching process {Xt } 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 Xt is discussed, and the limit distribution of Xt/t obtained when Xt tends to infinity.
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