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Markov branching processes with immigration-migration and resurrection 被引量：6

Markov branching processes with immigration-migration and resurrection
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摘要 We consider a modified Markov branching process incorporating with both state-independent immigration-migration and resurrection. The effect of state-independent immigration-migration is firstly in- vestigated in detail. The explicit expressions for the extinction probabilities and mean extinction times are presented. The ergodicity and stability properties of the process incorporating with resurrection structure are then investigated. The conditions for recurrence, ergodicity and exponential ergodicity are obtained. An explicit expression for the equilibrium distribution is also presented. As a preparation, the criteria for regularity and uniqueness for such structure are firstly established. We consider a modified Markov branching process incorporating with both state-independent immigration-migration and resurrection. The effect of state-independent immigration-migration is firstly in- vestigated in detail. The explicit expressions for the extinction probabilities and mean extinction times are presented. The ergodicity and stability properties of the process incorporating with resurrection structure are then investigated. The conditions for recurrence, ergodicity and exponential ergodicity are obtained. An explicit expression for the equilibrium distribution is also presented. As a preparation, the criteria for regularity and uniqueness for such structure are firstly established.
作者 LI JunPing LIU ZaiMing
机构地区 School of Mathematical Science and Computing Technology
出处 《Science China Mathematics》 SCIE 2011年第5期1043-1062,共20页 中国科学：数学（英文版）
基金 supported by National Natural Science Foundations of China (Grant Nos. 10771216 and 11071259)
关键词 Markov branching process immigration migration resurrection regularity extinction recurrence ergodicity收藏本站首页期刊全文库学位论文库会议论文库吾喜杂志注册｜登录｜我的账户基础科学｜工程科技I辑｜工程科技II辑｜医药卫生科技｜信息科技｜农业科技｜哲学与人文科学｜社会科学I辑｜社会科学II辑｜经济管理高级搜索： 用＂ Markov branching process immigration ＂到知网平台检索 点击这里搜索更多...《Science China（Mathematics）》 2011年05期 加入收藏 获取最新 Markov branching processes with immigration-migration and resurrection【摘要】： We consider a modified Markov branching process incorporating with both state-independent immigration-migration and resurrection. The effect of state-independent immigration-migration is firstly in- vestigated in detail. The explicit expressions for the extinction probabilities and mean extinction times are presented. The ergodicity and stability properties of the process incorporating with resurrection structure are then investigated. The conditions for recurrence ergodicity and exponential ergodicity are obtained. An explicit expression for the equilibrium distribution is also presented. As a preparation the criteria for regularity and uniqueness for such structure are firstly established.【关键词】 ： Markov branching process IMMIGRATION MIGRATION RESURRECTION REGULARITY EXTINCTION recur- rence ergodicity Keywords Markov branching process immigration migration resurrection regularity extinction recur-rence ergodicity 分支过程 马尔可夫 复活 迁移 移民 灭绝概率 结构规律 遍历性
分类号 O211.65 [理学—概率论与数理统计] O211.62 [理学—概率论与数理统计]
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Science China Mathematics
2011年 第5期

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