两指标马氏过程自然σ域族的右连续性

Right Continuity of σ-Fields Generated by Two-parameter Markov Processes

本文得到了两指标规则＊—马氏过程的自然σ域族为右连续的某些充分条件，条件加在转移函数上。特别，讨论了独立增量过程和状态空间为可数的情形。

Abstract In this paper, we derive some sufficient conditions in tems of transition functions for the σ-fields generated by two-parameter regular*-Markov processes to be right continuous.Specifically,processes with independent increments and processes with countable state space are discussed.