The establishment of rational rejuvenation levels, searching of direct coupling modules and eduction of restart chains on different levels are the keys of fine-grained software rejuvenation policy.

确定系统重启层级别，查询各层模块的直接耦合模块，进而构建出各重启层的重启链是实施细粒度软件抗衰策略的关键。

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In this paper we discuss the classification of states and the invariant measure in coupling space in skew produce Markov chains.

本文主要讨论了绕积马氏链的状态分类和耦合空间上不变测度问题。

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Topics include measure theory, limit theorems, bounding probabilities and expectations, coupling and Stein's method, martingales, Markov chains, renewal theory, and Brownian motion.

主题包括测度论，极限定理，包围概率和期望，耦合和斯坦的方法，鞅，马尔可夫链，更新理论，和布朗运动。

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