Applying the Markov renewal theorem, it is shown that certain reasonable conditions of the QBD process lead to the geometric decay of the tail probabilities as the level goes to infinity.
通过对QBD过程某些条件的限定，应用马尔可夫更新定理，得出在一定合理的条件下，当水平趋于无穷时的尾概率的几何衰变。
We establish the strong limit theorem for countable Markov chains indexed by a homogeneous tree.
研究了齐次树指标可列马氏链的一类强极限定理。
At first some properties on nonhomogeneous Markov models are obtained in the lemma, then a limit theorem for the average of the three variables function of hidden nonhomogeneous Markov model is given.
首先在引理中得出了隐非齐次马尔可夫模型的一些性质，从而导出了隐非齐次马尔可夫模型的三元函数一类平均值的强极限定理。
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