一类非齐次马氏链的绝对平均强遍历性

The Absolute Average Strong Ergodic for a Nonhomogeneous Markov Chains

引用马氏链绝对平均强遍历的概念,首先给出齐次马氏链绝对平均强遍历与强遍历的等价性,其次通过引进另一个强遍历的非齐次马氏链,给出一个非齐次马氏链绝对平均强遍历的充分条件.

The concept of absolute average strong ergodic for Markov chains is quoted. Firstly, we give the equivalence between the absolute average strong ergodic and strong ergodic for homogeneous Markov chains. And then we give sufficient condition of absolute average strong ergodic for a nonhomogeneous Markov chains through injecting another nonhomogeneous Markov chains which is strong ergodic.