Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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WEAK LAWS OF LARGE NUMBERS FOR WEIGHTED COORDINATEWISE PAIRWISE NQD RANDOM VECTORS IN HILBERT SPACES

  • Le, Dung Van (Department of Mathematics The University of Da Nang - University of Science and Education) ;
  • Ta, Son Cong (Faculty of Mathematics Mechanics and Informatics VNU Hanoi University of Science) ;
  • Tran, Cuong Manh (Faculty of Mathematics Mechanics and Informatics VNU Hanoi University of Science)
  • Received : 2018.04.03
  • Accepted : 2018.08.24
  • Published : 2019.03.01
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Abstract

In this paper, we investigate weak laws of large numbers for weighted coordinatewise pairwise negative quadrant dependence random vectors in Hilbert spaces in the case that the decay order of tail probability is r for some 0 < r < 2. Moreover, we extend results concerning Pareto-Zipf distributions and St. Petersburg game.

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References

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