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- W2052841867 abstract "Let {Xn,n≥1} be a sequence of identically distributed negatively associated random variables and let {ani,1≤i≤n,n≥1} be an array of constants satisfying ∑i=1n|ani|α=O(n) for some 1<α≤2. In this paper, we give moment conditions for complete convergence of the form ∑n=1∞n−1P(max1≤m≤n|∑i=1maniXi|>ϵbn)<∞,∀ϵ>0, where bn=n1/α(logn)1/γ and α>γ>0. Our moment conditions are almost optimal. As a corollary, a strong law of large numbers for weighted sums is obtained." @default.
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- W2052841867 date "2014-09-01" @default.
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- W2052841867 title "On the strong convergence for weighted sums of negatively associated random variables" @default.
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- W2052841867 doi "https://doi.org/10.1016/j.spl.2014.04.028" @default.
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