Bulletin of the Korean Mathematical Society (대한수학회보)
- Volume 35 Issue 4
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- Pages.709-718
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- 1998
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
ON STRONG LAWS OF LARGE NUMBERS FOR 2-DIMENSIONAL POSITIVELY DEPENDENT RANDOM VARIABLES
- Kim, Tae-Sung (Department of Statistics, Wonkwang University) ;
- Beak, Hoh-Yoo (Department of Statistics, Wonkwang University) ;
- Seo, Hye-Young (Department of Statistics, Wonkwang University)
- Published : 1998.11.01
Abstract
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.
Keywords
- positive quadrant dependent random variables;
- associated random variables;
- strong law of large numbers;
- 2-dimensional array of random variables