Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (3): 674-683.

• Articles • Previous Articles     Next Articles

Chover´s Law of Iterated Logarithm for Weighted Partial Sums of NA Random Variables Sequences

 QIU De-Hua, CHEN Ping-Yan   

  1. School of Mathematics and Statistics, Guangdong University of Finance &|Economics, Guangzhou 510320; Department of Mathematics, Jinan University, Guangzhou 510630
  • Received:2012-08-07 Revised:2013-06-02 Online:2014-06-25 Published:2014-06-25
  • Supported by:

    国家自然科学基金(11271161)资助

Abstract:

We establish the integral test for the weighted partial sums of identically distributed NA random variables with heavy-tailed distribution assumption by using the exponential inequality, and obtain the Chover's law of iterated logarithm as a corollary. As applications, the corresponding limit results for some classical summable methods are also established. These results in this paper extend the related known works in the literature.

Key words: NA random variables, Heavy-tailed distribution, Law of iterated logarithm, Integral test, Weighted partial sums

CLC Number: 

  • 60F15
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