万成高. 状态有限的单无限马氏环境中马氏链泛函加权和的强收敛性[J]. 应用概率统计, 2013, 29(6): 633-641.
引用本文: 万成高. 状态有限的单无限马氏环境中马氏链泛函加权和的强收敛性[J]. 应用概率统计, 2013, 29(6): 633-641.
Wan Chenggao. The Strong Convergence of Weighted Sums of Function for Finite State Markov Chains in Single Infinitely Markovian Environments[J]. Chinese Journal of Applied Probability and Statistics, 2013, 29(6): 633-641.
Citation: Wan Chenggao. The Strong Convergence of Weighted Sums of Function for Finite State Markov Chains in Single Infinitely Markovian Environments[J]. Chinese Journal of Applied Probability and Statistics, 2013, 29(6): 633-641.

状态有限的单无限马氏环境中马氏链泛函加权和的强收敛性

The Strong Convergence of Weighted Sums of Function for Finite State Markov Chains in Single Infinitely Markovian Environments

  • 摘要: 本文给出了状态有限的单无限马氏环境中马氏链泛函加权和的强收敛性, 得到了状态有限的单无限马氏环境中马氏链泛函加权和的强收敛性成立的一系列充分条件.

     

    Abstract: This paper studies the strong convergence of the weighted sums of function for finite state Markov chains in single infinitely Markovian environments, and obtains some sufficient conditions for the strong convergence of the weighted sums.

     

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