| 广义Bethe树指标可列马氏链场关于广义随机选择系统的一类局部极限定理 |
| |
| 引用本文： | 周小玮,王康康,马越.广义Bethe树指标可列马氏链场关于广义随机选择系统的一类局部极限定理[J].数学的实践与认识,2009,39(22). |
| |
| 作者姓名： | 周小玮 王康康 马越 |
| |
| 作者单位： | 1. 江苏科技大学数理学院,江苏,镇江,212003
2. 江苏大学京江学院,江苏,镇江,212013 |
| |
| 基金项目： | 江苏省高校自然科学基础研究项目 |
| |
| 摘 要： | 研究任意广义Bethe树指标马尔可夫链场二元泛函关于广义随机选择系统的一类局部极限定理.作为推论得到了广义随机选择系统中任意Cayley树上状态频率和状态序偶的一类极限定理.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.
|
| 关 键 词： | 强极限 广义Bethe树 马尔可夫链场 状态频率 状态序偶 |
Class of Local Limit Theorems for Markov Chains Field Indexed with the Generalized Bethe Tree on the Generalized Random Selection System |
| |
| ZHOU Xiao-wei,WANG Kang-kang,MA Yue.Class of Local Limit Theorems for Markov Chains Field Indexed with the Generalized Bethe Tree on the Generalized Random Selection System[J].Mathematics in Practice and Theory,2009,39(22). |
| |
| Authors: | ZHOU Xiao-wei WANG Kang-kang MA Yue |
| |
| Abstract: | We study the local limit theorems for the two-variate function of Markov chain fields indexed on the the generalized Bethe tree with respect to the generalized random selection system. As corollaries, a class of strong limit theorems for frequencies of states and ordered couples of states on Cayley tree are obtained. In the proof, we apply a new technique in the study of the Markov chain fields. |
| |
| Keywords: | strong limit theorem the generalized Bethe tree Markov chain fields frequencies of states ordered couples of states |
| 本文献已被 万方数据 等数据库收录！ |
