On a continuous-state population-size-dependent branching process and its extinction

Yuqiang Li

doi:10.1239/jap/1143936253

On a continuous-state population-size-dependent branching process and its extinction

Yuqiang Li

Beijing Normal University

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

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.

Original language	English
Pages (from-to)	195-207
Number of pages	13
Journal	Journal of Applied Probability
Volume	43
Issue number	1
DOIs	https://doi.org/10.1239/jap/1143936253
State	Published - 2006
Externally published	Yes

Keywords

Convergence
Extinction
Finite-dimensional distribution
Limit distribution
Population-size-dependent branching process

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10.1239/jap/1143936253

Cite this

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abstract = "A continuous-state population-size-dependent branching process (X t) is a modification of the Ji{\v r}ina 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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AB - 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 Xt is discussed, and the limit distribution of Xt/t obtained when Xt tends to infinity.

KW - Convergence

KW - Extinction

KW - Finite-dimensional distribution

KW - Limit distribution

KW - Population-size-dependent branching process

UR - https://www.scopus.com/pages/publications/33845338408

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DO - 10.1239/jap/1143936253

M3 - 文章

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SP - 195

EP - 207

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On a continuous-state population-size-dependent branching process and its extinction

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Keywords

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