广义生-灭最小Q过程的常返、遍历性  

Recurrent,ergodicity properties for an extended birth-death minimal Q-process

作　　者：吴群英[1] 林亮[1] 

机构地区：[1]桂林工学院数理系,广西桂林541004

出　　处：《纯粹数学与应用数学》2007年第3期289-292,318,共5页Pure and Applied Mathematics

基　　金：国家自然科学基金资助项目(10661006);广西新世纪十百千人才工程基金(2005214);广西自然科学基金资助项目(0728212)

摘　　要：研究具有突变率的全稳定广义生-灭最小Q过程的常返性和遍历性,在Q-矩阵是正则、不可约的条件下,利用Q过程的构造理论,获得广义生-灭最小Q过程是常返、遍历的易于检验的充分必要条件,并给出不变测度.A birth-death new structure processes is c W on ith the special property that catastrophes is imposed to ordinary sidered. Under the condition that the Q-matrix is regular and irreducible, the authors are able to give easy-checking recurrent and ergodicity criteria for such Markov minimal Q-processes by using construction theory of Q-processes. Equilibrium distrbutions are then established.

关 键 词：广义生-灭最小Q过程 常返 遍历 

分 类 号：O211.62[理学—概率论与数理统计]