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- W2080967273 abstract "For a sequence of dependent square-integrable random variables and a sequence of positive constants {bn,n≥1}, conditions are provided under which the series ∑i=1n(Xi−EXi)/bi converges almost surely as n→∞ and {Xn,n≥1} obeys the strong law of large numbers limn→∞∑i=1n(Xi−EXi)/bn=0 almost surely. The hypotheses stipulate that two series converge, where the convergence of the first series involves the growth rates of {VarXn,n≥1} and {bn,n≥1} and the convergence of the second series involves the growth rate of {supn≥1|Cov(Xn,Xn+k)|,k≥1}." @default.
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- W2080967273 date "2008-10-01" @default.
- W2080967273 modified "2023-09-24" @default.
- W2080967273 title "On convergence properties of sums of dependent random variables under second moment and covariance restrictions" @default.
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- W2080967273 doi "https://doi.org/10.1016/j.spl.2008.01.073" @default.
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