Abstract:

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 tran
sformation 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.

Key words: *-strong Markov process, 1-strong Markov process, 2-strong Markov process, widefuture strong Markov process, singlepoint strong Markov process