利用两参数马氏过程和单参数强马氏过程的定义方式及各种停点之间的关系,定义了1-强马氏过程、2-强马氏过程和宽将来强马氏过程,其中参数变换都是非随机的.在随机过程循序可测条件下,得到了*-强马氏过程一定是1,2-强马氏过程;1,2-强马氏过程一定是宽将来强马氏过程.在(F4)条件下,1,2-强马氏过程一定是单点强马氏过程.宽将来强马氏过程一定是单点强马氏过程.
Based on the definition approach of two-parameter Markov process, single-parameter strong Markov process and the relationship between the various stopping points, the 1-strong Markov process, the 2 strong Markov process and the wide-future strong Markov process with non-random parameter transformation were defined. Under the condition of random process being progressive measurability, the *-strong Markov process must be a 1,2-strong Markov process, the 1,2-strong Markov process must be a single-point strong Markov process. Under the condition of (F4), the 1,2-strong Markov process must be a single-point strong Markov process. Wide-future strong Markov process must be a single-point strong Markov process.