Poisson过程作为更新过程的若干新的特征刻画  

SOME NEW CHARACTERIZATIONS OF POISSON PROCESS REGARDED AS A RENEWAL PROCESS

作　　者：成世学[1] 

机构地区：[1]中国人民大学信息学院

出　　处：《高校应用数学学报（A辑）》1998年第3期289-294,共6页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：国家自然科学基金;国家教委人文社会科学研究"九五"规划资助

摘　　要：本文将给出Ｐｏｉｓｓｏｎ过程作为更新过程的一系列新的特征刻画．这些刻画是借助于更新过程中所有关键量的条件概率分布或条件期望来表述的．所给的条件是至任一指定时刻发生的抵达数为已知．In this paper,a series of new characterizations of the Poisson process regarded as a renewal process is given.These characterizations are based on the conditional probability distributions or the conditional expectations of all crucial quantities emerging in the renewal processes,given that the number of arrivals occurring up to any fixed time is known.

关 键 词：更新过程 POISSON过程 抵达时 最近寿命 剩余寿命 全部寿命 

分 类 号：O211.3[理学—概率论与数理统计]