利用在更换周期点上具有的马尔可夫性质，以系统首次故障前平均工作时间最大为目标建立了确定最佳更换周期的模型。
Using the property of Markov at the points of replacement period, a model of determining the optimal period is developed with objective of maximizing the mean time to first failure of system.
研究布朗束缚振子在马尔可夫极限下的统计性质。
The Statistical properties of Brownian bound oscillator under the Markovian limit are studied.
本文首先在生产一库存系统中利用马尔可夫“无后效性”的性质，来研究它在市场预测和决策中的作用，并结合实例来说明。
In this paper, firstly we use the nature of "Markov process" in the production-inventory system, studding its role in the market forecast and decision-making, combining with examples for explanation.
在一步转移概率 矩阵典型化的基础上，给出马尔可夫链M 矩 阵的定义并证明它的一些性质。
The definition of the Markov chain M matrix is stated and some of its properties are proved, base on canonical representation of the one-step transition probability matrix.
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。
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。
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.
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