Journal of the Korean Statistical Society

  • 제34권4호
  • /
  • Pages.263-272
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  • 2005
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  • 1226-3192(pISSN)
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  • 2005-2863(eISSN)
한국통계학회 (The Korean Statistical Society)
권호 표지

ALMOST SURE CONVERGENCE FOR WEIGHTED SUMS OF NA RANDOM VARIABLES

  • BAEK J. I. (School of mathematical Science and Institute of Basic Natural Science, Wonkwang University) ;
  • NIU S. L. (Department of Applied Mathematics, Tongji University) ;
  • LIM P. K. (School of mathematical Science and Institute of Basic Natural Science, Wonkwang University) ;
  • AHN Y. Y. (School of mathematical Science and Institute of Basic Natural Science, Wonkwang University) ;
  • CHUNG S. M. (School of mathematical Science and Institute of Basic Natural Science, Wonkwang University)
  • 발행 : 2005.12.01
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초록

Let {$X_n,\;n{\ge}1$} be a sequence of negatively associated random variables which are dominated randomly by another random variable. We discuss the limit properties of weighted sums ${\Sigma}^n_{i=1}a_{ni}X_i$ under some appropriate conditions, where {$a_{ni},\;1{\le}\;i\;{\le}\;n,\;n\;{\ge}\;1$} is an array of constants. As corollary, the results of Bai and Cheng (2000) and Sung (2001) are extended from the i.i.d. case to not necessarily identically distributed negatively associated setting. The corresponding results of Chow and Lai (1973) also are extended.

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참고문헌

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