两指标点过程的停止及σ-域

The Stopping and Filtrations of Two-Parameter Point Processes

本文给出两指标点过程的跳线刻划、停止方法,论述了跳线的可测性及点过程有关的σ-域的结构和特征。

We use jumping-lines to characterize the two-parameter point processes, the jumping-lines are proved to have good measurability. We have also defined the stopping of two-parameter point processes, and obtained some simple structure of nitrations of the two-parameter processes.