strong laws for weighted sums of negative dependent random variables
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abstract
in this paper, we discuss strong laws for weighted sums of pairwise negatively dependent random variables. the results on i.i.d case of soo hak sung [9] are generalized and extended.
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Strong Laws for Weighted Sums of Negative Dependent Random Variables
In this paper, we discuss strong laws for weighted sums of pairwise negatively dependent random variables. The results on i.i.d case of Soo Hak Sung [9] are generalized and extended.
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For double arrays of constants {ani, 1 ≤ i ≤ kn, n ≥ 1} and sequences of negatively orthant dependent random variables {Xn, n ≥ 1}, the conditions for strong law of large number of ∑kn i=1 aniXi are given. Both cases kn ↑ ∞ and kn = ∞ are treated.
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Journal title:
journal of sciences islamic republic of iranجلد ۱۶، شماره ۳، صفحات ۰-۰
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