齐次泊松过程的几个新的判定条件

Several New Determinant Conditions of Homogeneous Poisson Process

给出了更新过程成为齐次泊松过程的几个新的判定条件.这些判定条件是通过更新过程中一些量(例如更新时刻等)的条件分布或条件期望来描述的,而条件为已知至一指定时刻发生的更新次数.

This paper gives several new determinant conditions of homogeneous Poisson process as renewal process. These determinant conditions are based on the conditional probability distributions or conditional expectations of some quantities such as renewable time emerging in the renewal processes, and the condition is that the number of renewals is known up to any fixed time.