非时齐q过程以π(·)为强遍历极限的一个等价条件  

AN EQUIVALENT CONDITION ABOUT THE STRONGLY ERGODLC LIMIT OF A TIME NON-HOMOGENEOUS Q-PROCESS

作　　者：徐明跃[1] 

机构地区：[1]哈尔滨师范大学

出　　处：《数学杂志》1993年第4期470-476,共7页Journal of Mathematics

摘　　要：本文就可测空间(E,ε)上满足一定条件的 q 函数(?)(t,x,A),(-∝<t<∝,x∈E,A∈ε)给出了以(?)(t,x,A)为转移密度函数的非时齐 q 过程以 π(·)为强遍历极限的一个等价条件。在已知 q 过程左拉氏变换的条件下,仅仅借助于(?)(t,x,A)(条件全加在 q函数对上)得到了一类马氏过程强遍史的判定方法,以及强遍历时遍历极限的求法。In this paper,we obtain an eguivalent condition about that π(·)is thestronly ergodic limit of a time non-horogeneous q-process with transitiondensity function (?)q(t,x,A),here(?)q(t,x,A)is a q-function satisfying givenconditions on measurable space(E,ε).When left laplace transform of the q-process is given,we obtain a rule by which we can decide if markov pracessessatisfyieg given conditions is strongly ergodic processes,at the same time therule gives us a way searching stvongly ergodic limits.

关 键 词：Q过程 强遍历极限 非时齐 

分 类 号：O211.6[理学—概率论与数理统计]