Generally, it is not easy to find the exact tail-estimation for the distribution of the minimum value in partial sum sequence of a stationary ergodic Markov chain.
一般情况下对平稳遍历马尔可夫链部分和序列最小值分布进行精确尾估计是较困难的。
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This paper examines port queuing system with single berth. For its imbedded Markov chain, the author gives a necessary and sufficient condition under which the system is ergodic.
In this paper, we research that the induced series of this model is geometrically ergodicity Markov chain and this model is adjoint geometrically ergodic.