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中文摘要：
定义了时间离散状态连续的马氏链,引入二元函数的范数,利用近年来研究离散状态马氏链泛函的强大数定律的方法,根据连续状态下数学期望的定义及一些特殊不等式,研究了时间离散状态连续非齐次马氏链的收敛性,得到了时间离散状态连续非齐次马氏链二元函数的强大数定律.
英文摘要：
The definitions of discrete-time and continuous-state Markov chains and the norm of the functions of two variables are given. By applying the method of studying the strong law of large numbers for functions of discrete-state Markov chains in recent years, and adopting the definition of mathematical expectation in continuous-state and some special inequalities, the convergence of discrete-time and continuous-state nonhomogeneous Markov chains is studied. The strong law of large numbers for functions of two variables of discrete-time and continuous-state nonhomogeneous Markov chains is obtained.
同期刊论文项目
同项目期刊论文
Strong law of large numbers for Markov chains indexed by an infinite tree with uniformly bounded deg
The asymptotoc equipartition property for nonhomogeneous Markov chains indexed by a homogeneous tree
The strong law of large numbers on the frequencies of states and ordered couples of states for Marko
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