摘要
研究了Bethe树TB,2上马氏链场普遍成立的强极限定理。作为推论得到了TB,2树上状态频率和状态序偶频率的一类强极限定理。推广了已有的一些结论。证明中采用了一种研究马尔可夫链场的较新颖的分析方法。
The strong limit theorems for Markov chain fields indexed on the arbitrary Bethe tree are studied. As corollaries,a class of strong limit theorems for frequencies of states and ordered couples of states on Bethe tree are obtained. In the proof,a new technique for the study on the Markov chain fields is adopted.
出处
《江苏科技大学学报（自然科学版）》
CAS
北大核心
2007年第2期37-40,共4页
Journal of Jiangsu University of Science and Technology:Natural Science Edition
关键词
强极限
Bethe树
马尔可夫链场
状态频率
状态序偶
strong limit theorem
Bethe tree
Markov chain fields
state frequency
state ordered couple
