Journal of the Korean Statistical Society

The Korean Statistical Society (한국통계학회)
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ON THE ALMOST SURE CONVERGENCE OF WEIGHTED SUMS OF NA RANDOM VARIABLES

  • Kim, T.S. (Department of Statistics and Institute of Basic Natural Science, Wonkwang University) ;
  • Ko, M.H. (Department of Statistics and Institute of Basic Natural Science, Wonkwang University) ;
  • Lee, Y.M. (Department of Statistics and Institute of Basic Natural Science, Wonkwang University) ;
  • Lin, Z. (Department of Mathematics, Zhejiang University)
  • Published : 2004.03.01
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Abstract

Let {X, $X_{n}, n\;{\geq}\;1$} be a sequence of identically distributed, negatively associated (NA) random variables and assume that $│X│^{r}$, r > 0, has a finite moment generating function. A strong law of large numbers is established for weighted sums of these variables.

Keywords

References

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