树上奇偶马尔可夫链场上的若干强极限定理

数学季刊 ›› 2010, Vol. 25 ›› Issue (4): 550-558.

树上奇偶马尔可夫链场上的若干强极限定理

1. School of Statistics, Renmin University of China2. School of Sciences, Tianjin University of Commerce3. Department of Mathe matics and Physics, Beijing Institute of Petro-Chemical Technology

收稿日期:2006-01-05 出版日期:2010-12-30 发布日期:2023-05-18
作者简介:MA Li-na(1979-), female, native of Tianjin, a lecturer of Tianjin University of Commerce, Ph.D., engages in probability theory and statistics.
基金资助:
Supported by the Special Fundation of Tianjin Education Committee(2006ZH91)； Supported by the Key Discipline of Applied Mathematics at Tianjin University of Commerce(X0803)；

Some Strong Limit Theorems for Even-odd Markov Chain Fields Indexed by Trees

1. School of Statistics, Renmin University of China2. School of Sciences, Tianjin University of Commerce3. Department of Mathe matics and Physics, Beijing Institute of Petro-Chemical Technology

Received:2006-01-05 Online:2010-12-30 Published:2023-05-18
About author:MA Li-na(1979-), female, native of Tianjin, a lecturer of Tianjin University of Commerce, Ph.D., engages in probability theory and statistics.
Supported by:
Supported by the Special Fundation of Tianjin Education Committee(2006ZH91)； Supported by the Key Discipline of Applied Mathematics at Tianjin University of Commerce(X0803)；

摘要/Abstract

摘要： First, a class of strong limit theorems are proved by constructing two nonnegative martingales. Then they are applied to the study of all kinds of even-odd Markov chain fields and Markov chain fields defined in the paper. Finally, some strong limit theorems for the even-odd Markov chain fields and Markov chain fields are obtained.

关键词: strong limit theorem, even-odd Markov chain fields, generalized Bethe tree

Abstract: First, a class of strong limit theorems are proved by constructing two nonnegative martingales. Then they are applied to the study of all kinds of even-odd Markov chain fields and Markov chain fields defined in the paper. Finally, some strong limit theorems for the even-odd Markov chain fields and Markov chain fields are obtained.

Key words: strong limit theorem, even-odd Markov chain fields, generalized Bethe tree

中图分类号:

O211.62

马丽娜, 陈爽, 罗蕴玲, 李乃华. 树上奇偶马尔可夫链场上的若干强极限定理[J]. 数学季刊, 2010, 25(4): 550-558.

MA Li-na, CHEN Shuang, LUO Yun-ling, LI Nai-hua. Some Strong Limit Theorems for Even-odd Markov Chain Fields Indexed by Trees [J]. Chinese Quarterly Journal of Mathematics, 2010, 25(4): 550-558.

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