数学物理学报 ›› 1998, Vol. 18 ›› Issue (S1): 107-114.

• 论文 • 上一篇    下一篇

关于随机紧凸集的更新定理

钱能生   

  1. 五邑大学数理系 广东江门 529020
  • 收稿日期:1996-09-23 修回日期:1996-11-25 出版日期:1998-12-26 发布日期:1998-12-26

On the Renewal Theorem for Random Compact Convex Sets

Qian Nengsheng   

  1. Wuyi University, Guangdong 529020
  • Received:1996-09-23 Revised:1996-11-25 Online:1998-12-26 Published:1998-12-26

摘要: 该文在讨论了多维更新定理的基础上,重点研究了随机紧凸集的Minkowski和的更新定理,得到了一系列重要结论.

关键词: Minkowski和, 更新函数, 随机集

Abstract: In this paper, the author first proves the multidimensional renewal theorem and thenconsiders the renewal theorem for Minkowski sums of random compact convex sets. Some im-portant results are obtained.

Key words: Minkowski sum, renewal function, random set