Markov积分半群的非退化性及弱~*可微性  

Non-Degenerateness and ω~*-Continuous Differentiality of Markov Integrated Semigroups

作　　者：赵文强[1] 商彦英[2] 

机构地区：[1]重庆工商大学理学院,重庆400067 [2]西南大学数学与统计学院,重庆400715

出　　处：《西南师范大学学报（自然科学版）》2006年第6期24-27,共4页Journal of Southwest China Normal University(Natural Science Edition)

摘　　要：研究参数连续Markov链的积分性质.从转移概率函数的定义出发,证明了Markov积分算子半群是非退化的.同时,还利用转移半群的对偶性质得到了Markov积分算子半群是一弱*连续可微半群,且具有二阶弱*连续可微性.The authors have studied the integral property of the continuous-time Markov chains.The non-degenerate of the Markov integrated semigroup is proved according to the definition of transition probability functions.Furthermore,the authors have also obtained that the Markov integrated semigroup is an ω~*-continuously differential semigroup with two-times continuous differentiality.

关 键 词：参数连续MARKOV链 Markov积分算子半群 转移概率函数 非退化 弱*可微 

分 类 号：O211[理学—概率论与数理统计]