Limit Distributions for Generalized Jirina Processes with Immigration  

Limit Distributions for Generalized Jirina Processes with Immigration

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作  者:Yu Qiang LI 

机构地区:[1]School of Finance and Statistics, East China Normal University, Shanghai 200241, P. R. China

出  处:《Acta Mathematica Sinica,English Series》2011年第7期1333-1344,共12页数学学报(英文版)

基  金:Supported by National Natural Science Foundation of China (Grant No. 10901054)

摘  要: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.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.

关 键 词:Generalized branching process IMMIGRATION limiting distribution 

分 类 号:O211.62[理学—概率论与数理统计] O211.4[理学—数学]

 

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