“停走”生成器输出序列的马氏性与平稳性

The Property of Markov Chains with Placidity of the Output Sequences of the Stop and Go Generator

本文首先建立了“停走”生成器输出序列的概率模型 ,讨论了由这类序列构成的随机变量序列的概率分布、独立性和相关性等概率性质。通过求得两种随机变量的联合分布的表达式 ,证明了此类随机变量序列是强平稳的齐次马尔科夫链。

This paper constructs the probability model of the output sequences of the Stop and Go generator at first, and discusses the probability distributing, the independence and the relativity of the random variables with this kind of sequences. Then proves that this kind of random variables are the Markov chains with strong placidity by getting two kinds of expressions of the random variables combine distributing.