一种无穷和的定义、性质及其在马尔科夫链中的应用

A Definition of Sum of Series, Properties and Its Applicatoin in Markov Chain

对形式级数 ∑ui无穷和的定义进行了推广 ,给出蔡查罗无穷和的概念 ,讨论了它们之间的关系 .对正项级数、交错级数的蔡氏收敛性做了完整的讨论 .并将其应用于马尔科夫链的渐近性态的研究 ,得到了更为简洁。

In this paper, the definition of sum of series has been extended. At first, the concept about Caicalo′sum of series is introduced. It′s properties, relation between it and traditional one is discussed. At last, It has been applied in Markov chain.