摘要
研究了相邻状态死亡速率具有一定比例关系的一类单生Q矩阵,它包括了生灭矩阵;得到了其决定的单生过程唯一、常返、遍历、l遍历和强遍历的判别准则,指数遍历的必要条件和充分条件以及平稳分布的显式表达式.
Single birth Q-matrices, including birth-death matrices, with the death rates of neighboring states having certain proportional relationships are investigated. Criteria are obtained on uniqueness, recurrence, ergodicity, l-ergodicity and strong ergodicity for these single birth processes. Necessary and sufficient conditions for exponential ergodicity and expression of stationary distributions are presented.
出处
《北京师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2010年第6期651-656,共6页
Journal of Beijing Normal University(Natural Science)
基金
国家"九七三"计划资助项目(2006CB805901)
国家自然科学基金资助项目(10721091)
关键词
单生过程
平稳分布
遍历
指数遍历
强遍历
l遍历
single birth processes
stationary distribution
ergodic
exponentially ergodic
strongly ergodic
l-ergodic
