数学杂志Issue(2)：368-374,7.
马氏双链函数的强大数定律及其应用
A STRONG LAW OF LARGE NUMBERS FOR FUNCTION OF DOUBLE MARKOV CHAINS AND ITS APPLICATION
摘要
Abstract
In this paper, a strong law of large numbers for function of double Markov chains in Markovian environments is considered. Using the method of piecewise functions, we obtain a sufficient for the strong law of large numbers for function of double Markov chains in Markovian environments. By this theory, we obtain the limit properties of transition probabilities for double Markov chains transformation from a set to another set. Some limit properties and strong limit theorems known about transition probabilities for double Markov chains are generalized.关键词
单无限随机环境中的马氏链/马氏双链/强大数定律/极限性质Key words
Markov chains in single infinite random environments/double Markov chains/a strong law of large numbers/limit properties分类
数理科学引用本文复制引用
宋明珠,吴永锋..马氏双链函数的强大数定律及其应用[J].数学杂志,2015,(2):368-374,7.基金项目
高校省级自然科学研究项目(kj2013z331) （kj2013z331）
省自然科学基金项目(1308085MA03) （1308085MA03）
教育部人文社科青年基金项目(12YJCZH217) （12YJCZH217）
铜陵学院自然科学研究项目(2012tlxy12) （2012tlxy12）
