摘要
首先给出了一类特殊非齐次树上可数状态马氏链的局部收敛定理,作为推论,得到了此类树上可数状态马氏链关于状态与状态序偶出现频率的若干极限性质,最后得到了这类特殊非齐次树上有限状态马氏链关于状态与状态序偶出现频率的强大数定律.
We first give a local convergence theorem for countable Markov chains indexed by a special nonhomogeneous tree. As corollaries, we obtain some limit theorems for the frequencies of states and ordered couples of states for countable Markov chains indexed by the special nonhomogeneous tree. Finally, we obtain some strong laws of large numbers for the frequencies of states and ordered couples of states for finite Markov chains indexed by the special nonhomogeneous tree.
出处
《大学数学》
北大核心
2007年第1期121-129,共9页
College Mathematics
基金
国家自然科学基金(10571076)
关键词
马氏链
强大数定律
状态与状态序偶
Markov chain
strong law of large numbers
states and ordered couples of states
