一类Markov链中的若干中心极限定理

Some Central Limit Theorems for a Class of Markov Chains

本文考虑两状态Ｍａｒｋｏｖ链中成功次数与连续成功次数的一些中心极限定理，并得到了这些定理成立的充要条件。

Some central limit theorems for the number of successes and lengths of runs in Markov chains with two states are discussed. The necessary and sufficient conditions for validity of these theorems are given.