渐近循环马氏链的收敛速度  

Rate of Convergence of Asymptotic Circular Markov Chains

作　　者：王蓓[1] 杨卫国[1] 石志岩[1] 

机构地区：[1]江苏大学理学院,江苏镇江212013

出　　处：《数学的实践与认识》2014年第16期241-248,共8页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11071104;11226210);江苏大学高级人才启动基金(11JDG116)

摘　　要：引入了渐近循环马氏链的概念,它是循环马氏链概念的推广.首先研究了在强遍历的条件下,可列循环马氏链的收敛速度,作为主要结论给出了当满足不同条件时可列渐近循环马氏链的C-强遍历性。In this paper, we introduce the definition of asymptotic circular Markov chains, it is an extension of the definition of circular Markov chains. In this paper fist studied the convergence rate of the countable circular Markov chains under the condition of strong ergodic. As main condusion; we discusses the C-strong ergodicity, the uniformly C-Strong ergodicity and the rate of convergence in ceasaro sense for countable asymptotic circular Markov chains under different conditions.

关 键 词：渐近循环马氏链 C-强遍历 常数随机矩阵 

分 类 号：O211.62[理学—概率论与数理统计]