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›› 2011, Vol. 28 ›› Issue (4): 424-430.DOI: 10.7523/j.issn.2095-6134.2011.4.002

• Research Articles • Previous Articles     Next Articles

The law of the iterated logarithm for random sums of a double random sequence

GAO Zhen-Long, HU Xiao-Yu   

  1. School of Mathematical Sciences, Graduate University, Chinese Academy of Sciences, Beijing 100049, China
  • Received:2010-06-15 Revised:2010-09-16 Online:2011-07-15

Abstract:

We have obtained the law of the iterated logarithm for random sums of a double sequence of random variables {ξn,j; n≥1,j≥1}, where {ξn,j; n≥1,j≥1} are independent and for any fixed n, {ξn,j; j≥1} have the same distribution.

Key words: double sequence, the law of the iterated logarithm, random sum of random sequence

CLC Number: