两参数马氏链的状态分类

Classification of the States of Two-Parameter Markov Chains

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．

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'.