随机模型的翻译The Markov chain can be considered as a regenerative

随机模型的翻译
The Markov chain can be considered as a regenerative process with the epochs at which the process visits state s as regeneration epochs.
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Proof: Fix states l, s ∈ R. The Markov chain can be considered as a regenerative process with the epochs at which the process visits state s as regeneration epochs. Defining a cycle as the time elapsed between two successive visits to state s, it follows from the definition of the mean recurrence time μss that
E(length of one cycle) = μss.
证明:令参数l、s为实数R.马尔可夫链(或:Markov链、Markov树状结构图)可视为含若干节点(或:时点)的再生(式)过程;这些时点处,该过程将参数s定义为重构节点.所谓循环,即指相邻两次取访参数s的时间差(时间间隔),(且)这一点源于(对)平均周期时间的定义,即:
E(单循环周长)=μss

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1年前

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