Journal of the Korean Statistical Society

The Korean Statistical Society (한국통계학회)
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On the weak law of large numbers for weighted sums of airwise negative quadrant dependent random variables

  • Kim, Tae-Sung (Processor Department of Statistics WonKwang University) ;
  • Beak, Jong-Il (Associate Professor Department of Statistics WonKwang University)
  • Published : 2000.09.01
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Abstract

Let {Xn,n$\geq$1} be a sequence of pairwise negative quadrant dependent(NQD) random variables and let {an,n$\geq$1} and {bn,n$\geq$1} be sequencesof constants such that an$\neq$0 and 0$\infty$. In this note, for pairwise NQD random varibles, a general weak law of alrge numbers of the form(∑│aj│Xj-$\upsilon$n)/bnlongrightarrow0) is established, where {νn,n$\geq$1} is a suitable sequence. AMS 2000 subject classifications ; 60F05

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References

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