Limit distributions for generalized Jiřina processes with immigration

Yu Qiang Li

doi:10.1007/s10114-011-8566-4

Limit distributions for generalized Jiřina processes with immigration

Yu Qiang Li

School of Statistics

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

Abstract

A relationship between continuous state population-size-dependent branching (CSDB) processes with or without immigration and discrete state population-size-dependent branching (DSDB) processes with or without immigration is established via the representation of the former. Based on this relationship, some limiting distributions of CSDB processes with or without immigration are obtained.

Original language	English
Pages (from-to)	1333-1344
Number of pages	12
Journal	Acta Mathematica Sinica, English Series
Volume	27
Issue number	7
DOIs	https://doi.org/10.1007/s10114-011-8566-4
State	Published - Jul 2011

Keywords

Generalized branching process
immigration
limiting distribution

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1007/s10114-011-8566-4

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title = "Limit distributions for generalized Ji{\v r}ina processes with immigration",

abstract = "A relationship between continuous state population-size-dependent branching (CSDB) processes with or without immigration and discrete state population-size-dependent branching (DSDB) processes with or without immigration is established via the representation of the former. Based on this relationship, some limiting distributions of CSDB processes with or without immigration are obtained.",

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AB - A relationship between continuous state population-size-dependent branching (CSDB) processes with or without immigration and discrete state population-size-dependent branching (DSDB) processes with or without immigration is established via the representation of the former. Based on this relationship, some limiting distributions of CSDB processes with or without immigration are obtained.

KW - Generalized branching process

KW - immigration

KW - limiting distribution

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M3 - 文章

AN - SCOPUS:79958228251

SN - 1439-8516

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JO - Acta Mathematica Sinica, English Series

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IS - 7

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Limit distributions for generalized Jiřina processes with immigration

Abstract

Keywords

UN SDGs

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