First of all, using the theory of general states Markov chain, we define some character number of skew product Markov chain.

利用一般马氏链的理论，首先给出了绕积马氏链的特征数的定义和相互关系。

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This type of problem occurs in speech recognition where a large number of Markov models will be used, each one modelling a particular word.

这种类型的问题出现在需要使用大量马尔科夫模型的语言识别中，每一个模型对特定的一个词建模。

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The other first truncates the state space according to some criterion in view of the explosive number of states. Markov model is introduced to obtain some important reliability indexes.

方法二针对状态空间巨大的情况，先以一定的标准对状态空间进行截尾，再应用马尔可夫模型获得系统的稳态可用度、首次故障前平均时间、稳态故障频度等可靠性指标。

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