集值马尔可夫过程的等价命题  

Equal Proposition of the Set-valued Markov Processes

作　　者：周华任[1] 李世楷[1] 刘常昱[1] 李力[1] 

机构地区：[1]解放军理工大学理学院,江苏南京211101

出　　处：《解放军理工大学学报（自然科学版）》2003年第3期98-99,共2页Journal of PLA University of Science and Technology(Natural Science Edition)

摘　　要：集值马尔可夫过程在集值随机过程理论中是非常重要的 ,但到目前为止 ,有关集值马尔可夫过程的研究成果还不多见 ,就连它的定义 ,至今还没有统一的处理。从集值马尔可夫过程的最简单定义出发 ,证明了它的一系列定义的等价性 ,从而对这类过程的本质有较为完整的认识。Set-valued Markov process plays an important role in the set-valued stochastic processes. For some reasons, the research on set-valued Markov processes is not enough, and the definition of set-valued Markov process is not uniform, which makes the deeper research very difficult. This article proves the equivalent of all kinds of conditions from the simple definition, thus getting a general knowledge about the essential of this processes.

关 键 词：集值马尔可夫过程 集值条件期望 可测可积函数 

分 类 号：O211.6[理学—概率论与数理统计]