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两参数马氏链的状态分类
引用本文:李应求. 两参数马氏链的状态分类[J]. 电工标准与质量, 1996, 0(1)
作者姓名:李应求
作者单位:长沙电力学院数学系
摘    要:根据两参数马氏链在每一状态停留的“时间”,将状态分为矩瞬时态、逗留态和吸引态.对一般的两参数马氏链,状态的分类与过程的“初始时间”有关,这与单参数情形状态的分类不涉及“时间”相比较,有本质的差别.但对于满足相容性条件的两参数马氏链,其状态分类是不涉及“时间”的.

关 键 词:两参数马氏链  三点转移函数  状态分类

Classification of the States of Two-Parameter Markov Chains
Li Yingqiu. Classification of the States of Two-Parameter Markov Chains[J]. Journal of Changsha University of Electric Power(Natural Science Edition), 1996, 0(1)
Authors:Li Yingqiu
Affiliation:Dept.of Math.Changsha Univ.of Electr.Power Changsha 410077
Abstract:The states of two-parameter Markov chains are classified into rectangle instantaneous,staying and absorb states according to chain's staying "time". In general two-parameter case,types of states are concerned with "initial time" of chain. There exists essential distinction with between one-parameter and two-parameter.In one-parameter case,types of states are independent of "initial time".Types of the states whose corresponding two-parameter Markov chains satisfy consistency condition are independent of "time".
Keywords:Two-parameter Markov chain Three-point transition function Classification of states
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