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On a Continuous-State Population-Size-Dependent Branching Process and Its Extinction

  • Yuqiang Li (a1)

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.

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Copyright

Corresponding author

Postal address: School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, P. R. China. Email address: y_q_li@163.com

References

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On a Continuous-State Population-Size-Dependent Branching Process and Its Extinction

  • Yuqiang Li (a1)

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