Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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ON THE COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF DEPENDENT RANDOM VARIABLES UNDER CONDITION OF WEIGHTED INTEGRABILITY

  • Baek, Jong-Il (Department of Mathematics Wonkwang University) ;
  • Ko, Mi-Hwa (Department of Mathematics and Institute of Natural Science Wonkwang University) ;
  • Kim, Tae-Sung (Department of Mathematics Wonkwang University)
  • Published : 2008.07.31
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Abstract

Under the condition of h-integrability and appropriate conditions on the array of weights, we establish complete convergence and strong law of large numbers for weighted sums of an array of dependent random variables.

Keywords

References

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  2. Some limit theorems for arrays of rowwise pairwise NQD random variables vol.59, pp.2, 2014, https://doi.org/10.4213/tvp4573
  3. On convergence for sequences of pairwise negatively quadrant dependent random variables vol.59, pp.4, 2014, https://doi.org/10.1007/s10492-014-0067-1
  4. Complete moment convergence of weighted sums for arrays of negatively dependent random variables and its applications vol.45, pp.11, 2016, https://doi.org/10.1080/03610926.2014.901365