摘要
本文提出了新的非齐次马尔可夫链的遍历条件，并在此条件下，首次证明了非齐次马尔可夫链转移概率的Gesaro-极限定理．另外，本文还给出了一个例子，用它表明本文的条件确实比Doeblin条件要弱．
In this paper,a new weak-ergodic condition weaker than Doeblin's one is present,and then the Ce-saro-limit theorem for non-homogeneous Markov chains is proved under this condition. More,an example is given for which the conditions in this paper are satisfied,whereas,Deeblin condition fail to hold.
出处
《数学理论与应用》
2000年第1期119-123,共5页
Mathematical Theory and Applications
