Lr Convergence for Arrays of Rowwise Negatively Sup eradditive Dep endent Random Variables |
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Institution: | School of Mathematical Sciences, Anhui University, Hefei 230601, China |
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Abstract: | Let {Xnk, k≥1, n≥1} be an array of rowwise negatively superadditive depen-dent random variables and {an, n ≥ 1} be a sequence of positive real numbers such that an ↑ ∞. Under some suitable conditions, Lr convergence of a1n 1max≤j≤n ied. The results obtained in this paper generalize and improve some corresponding ones for negatively associated random variables and independent random variables. fl fl fl fl jP k=1 Xnk fl fl flfl is stud-ied. The results obtained in this paper generalize and improve some corresponding ones for negatively associated random variables and independent random variables. |
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Keywords: | Lr convergence convergence in probability negatively superadditive dependent random variables |
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