Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ON THE ALMOST SURE CONVERGENCE OF WEIGHTED SUMS OF 2-DIMENSIONAL ARRAYS OF POSITIVE DEPENDENT RANDOM VARIABLES

  • Kim, Tae-Sung (Division of Mathematical Science Wonkwang University) ;
  • Baek, Ho-Yu (Division of Mathematical Science Wonkwang University) ;
  • Han, Kwang-Hee (Division of Computer Science Howon University)
  • Published : 1999.10.01
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Abstract

In this paper we derive the almost sure convergence of weighted sums of 2-dimensional arrays of random variables which are either pairwise positive quadrant dependent or associated. Our re-sults imply and extension of Etemadi's(1983) strong laws of large numbers for weighted sums of nonnegative random variables to the 2-dimensional case.

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References

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