Markov链中连续成功次数的一个极限定理

A Limit Theorem for Lengths of Runs in Markov Chains

本文将独立Bernoulli试验中关于连续成功次数的D.J.Newman定理推广到了Maxkov链场合,同时还得到了相应序列的极限点全体。

In this paper,we extend D. J. Newman's limit theorem for lengths of runs in independent Bernoulli trails to the case of Markov chains and get the set of limit points for the corresponding sequence.