A class of strong laws of large numbers of non-homogeneous Markov chain on a non-homogeneous tree
Author(s): Jin Shaohua, Ren Meng, Sun Saisai, Han Ruize
Pages: 111-121,170
Year: 2015 Issue: 2
Journal: Pure and Applied Mathematics
Keyword: non-homogeneous tree; martingale; Markov chain; strong law of large numbers;
Abstract: In this paper, through constructing a non-negative martingale and appllying Doob′s martingale convergence theorem to the research of a.e. convergence, a class of strong laws of large numbers of m-ordered continuous state non-homogeneous Markov chain on a non-homogeneous tree are given. We promote the relative results.
Pages: 111-121,170
Year: 2015 Issue: 2
Journal: Pure and Applied Mathematics
Keyword: non-homogeneous tree; martingale; Markov chain; strong law of large numbers;
Abstract: In this paper, through constructing a non-negative martingale and appllying Doob′s martingale convergence theorem to the research of a.e. convergence, a class of strong laws of large numbers of m-ordered continuous state non-homogeneous Markov chain on a non-homogeneous tree are given. We promote the relative results.
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