J4 ›› 2012, Vol. 50 ›› Issue (03): 507-.

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Complete Convergence Property for Sum of Partial Sums of I.I.D.Random Variables

LAN Chongfeng1, WU Qunying2   

  1. 1. School of Mathematics and Computational Science, Fuyang Teachers College, Fuyang 236041, Anhui Province, China;
    2. College of Science, Guilin University of Technology, Guilin 541004, Guangxi Zhuang Autonomous Region, China
  • Received:2011-07-13 Online:2012-05-26 Published:2012-05-28
  • Contact: WU Qunying E-mail:wqy666@glite.edu.cn

Abstract:

The authors used the  cuttingofftail method and some other methods to study the complete convergence property for the sum of partial
sums of  i.i.d.random variables sequences and obtained the same equivalent conditions as those of complete convergence property of the partial sums of i.i.d. random variable sequences. The results supplement the limit theorems of the sum of partial sums.

Key words: independent identical distribution (i.i.d.); the sum of partial sums; complete convergence property

CLC Number: 

  • O211.4