用算子半群理论研究转移函数的逼近  

Study on approximation of transition functions using semigroup method

作　　者：赵文强[1] 

机构地区：[1]重庆工商大学理学院,重庆400067

出　　处：《重庆工商大学学报（自然科学版）》2005年第1期16-18,21,共4页Journal of Chongqing Technology and Business University:Natural Science Edition

摘　　要：用算子半群方法研究了参数连续Markov链中转移函数的逼近.给出了最小转移函数收敛的Q-矩阵条件;证明了当转移函数是忠实的情况下。We study the approximation of transition functions using semigroup method and a condition on Q-matrices in order that their corresponding minimal transition functions converge is obtained. We also show that the convergence of a sequence of honest transition functions is equivalent to the convergence of their corresponding resolvent functions.

关 键 词：转移函数 算子半群理论 逼近 Q-矩阵 预解函数 等价 收敛性 MARKOV链 参数 方法研究 

分 类 号：O152.7[理学—数学] TP23[理学—基础数学]