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。
Random sequence Random limit logarithmic likelihood ratio Random approximation theorem Random selection Two-order Markov distribution Stochastic dominated sequence.
随机序列随机极限对数似然比随机逼近定理随机选择二重马氏分布机控制序列。
As corollaries, a limit theorem for the mth-order nonhomogeneous Markov chains is obtained. Moreover. The results obtained are gen...
作为推论，得到m重非齐次马氏链的一个强极限定理，并将已有的结果加以推广。
In this paper a theorem on translating DHMM into Homogeneous Markov Chain is presented. The theorem offers a method of using Homogeneous Markov Cain which is perfect in theory to study DHMM.
本文给出一个将DHMM转化为齐次马尔可夫链的定理，该定理提供了利用在理论上比较完善的齐次马尔可夫链来研究DHMM的一个方法。
In this paper a theorem on translating DHMM into Homogeneous Markov Chain is presented. The theorem offers a method of using Homogeneous Markov Cain which is perfect in theory to study DHMM.
本文给出一个将DHMM转化为齐次马尔可夫链的定理，该定理提供了利用在理论上比较完善的齐次马尔可夫链来研究DHMM的一个方法。
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