Acta mathematica scientia,Series A ›› 1998, Vol. 18 ›› Issue (S1): 107-114.

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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

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

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