THE CONSTRUCTION OF MULTITYPE CANONICAL MARKOV BRANCHING CHAINS IN RANDOM ENVIRONMENTS  

作　　者：胡迪鹤 

机构地区：[1]School of Mathematics and Statistics Wuhan University,Wuhan 430072,China

出　　处：《Acta Mathematica Scientia》2006年第3期431-442,共12页数学物理学报（B辑英文版）

基　　金：Project supported by the National Natural Science Foundation of China and the Foundation of Wuhan University

摘　　要：The investigation for branching processes has a long history by their strong physics background, but only a few authors have investigated the branching processes in random environments. First of all, the author introduces the concepts of the multitype canonical Markov branching chain in random environment （CMBCRE） and multitype Markov branching chain in random environment （MBCRE） and proved that CMBCRE must be MBCRE, and any MBCRE must be equivalent to another CMBCRE in distribution. The main results of this article are the construction of CMBCRE and some of its probability properties.The investigation for branching processes has a long history by their strong physics background, but only a few authors have investigated the branching processes in random environments. First of all, the author introduces the concepts of the multitype canonical Markov branching chain in random environment （CMBCRE） and multitype Markov branching chain in random environment （MBCRE） and proved that CMBCRE must be MBCRE, and any MBCRE must be equivalent to another CMBCRE in distribution. The main results of this article are the construction of CMBCRE and some of its probability properties.

关 键 词：Random Markov matrix Markov chain in random environment Markov branching chain in random environment canonical Markov branching chain in random environment generator random variables 

分 类 号：O211.6[理学—概率论与数理统计]