集值马尔可夫过程的定义及其相关问题

The Definition of Set-Valued Markov Processes and the Relative Problems

本文从集值马尔可夫过程的最简单定义出发，讨论了它的一系列等价命题，证明了它与已有的两种定义的等价性，并就集值随机过程与其数值特征过程的马尔可夫性的关系进行了讨论，完善了已有的结果．

In this paper, we started from the simplest definition of Set-Valued Markov Processes, proved the equivalence of it and some others ([1], [3]). In addition, we study the relation between Markov property of Set-Valued Process and that of its real valued characters.