Chinese Quarterly Journal of Mathematics ›› 2010, Vol. 25 ›› Issue (4): 601-606.

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Complete Convergence for Partial Sums of the Squares of ARCH Sequence 

  

  1. Department of Mathematics, Shanxi Datong University
  • Received:2007-03-09 Online:2010-12-30 Published:2023-05-19
  • About author:ZHANG Zhi-qiang(1969-), male, native of Datong, Shanxi, a lecturer of Shanxi Datong University, M.S.D., engages in probability theory and mathematical statistics; ZHANG Ri-quan(1967-), male, native of Zuoyun, Shanxi, a professor of Shanxi Datong University, Ph.D., engages in mathematical statistics.
  • Supported by:
     Supported by Natural Science Foundation of Shanxi Province(2007011014); Supported by Science Foundation of Shanxi Datong Unversity(2007K06); Supported by 11-5 Program Fund of Shanxi Province(GH-09090);

Abstract: In this paper, we discuss the sufficient condition for complete convergence of partial sums of squares of the ARCH sequence, at the same time a moment inequality of maximum partial sums for squares of the ARCH sequence is proved.

Key words: ARCH, partial sums, complete convergence

CLC Number: