• 제목/요약/키워드: 2-dimensional array of random variables.

검색결과 2건 처리시간 0.016초

ON STRONG LAWS OF LARGE NUMBERS FOR 2-DIMENSIONAL POSITIVELY DEPENDENT RANDOM VARIABLES

  • Kim, Tae-Sung;Beak, Hoh-Yoo;Seo, Hye-Young
    • 대한수학회보
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    • 제35권4호
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    • pp.709-718
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    • 1998
  • In this paper we obtain strong laws of large numbers for 2-dimensional arrays of random variables which are either pairwise positive quadrant dependent or associated. Our results imply extensions of Etemadi`s strong laws of large numbers for nonnegative random variables to the 2-dimensional case.

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ON THE ALMOST SURE CONVERGENCE OF WEIGHTED SUMS OF 2-DIMENSIONAL ARRAYS OF POSITIVE DEPENDENT RANDOM VARIABLES

  • Kim, Tae-Sung;Baek, Ho-Yu;Han, Kwang-Hee
    • 대한수학회논문집
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    • 제14권4호
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    • pp.797-804
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    • 1999
  • In this paper we derive the almost sure convergence of weighted sums of 2-dimensional arrays of random variables which are either pairwise positive quadrant dependent or associated. Our re-sults imply and extension of Etemadi's(1983) strong laws of large numbers for weighted sums of nonnegative random variables to the 2-dimensional case.

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