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On a Continuous-State Population-Size-Dependent Branching Process and Its Extinction
Published online by Cambridge University Press: 14 July 2016
Abstract
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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- © Applied Probability Trust 2006
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