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On the strong convergence for weighted sums of random variables. (English) Zbl 1247.60041
Summary: A strong convergence result is obtained for weighted sums of identically distributed negatively associated random variables which have a suitable moment condition. This result improves the result of {\it G.-H. Cai} [Metrika 68, No. 3, 323--331 (2008; Zbl 1247.60036)].

60F15Strong limit theorems
62G05Nonparametric estimation
Full Text: DOI
[1] Bai ZD, Cheng PE (2000) Marcinkiewicz strong laws for linear statistics. Stat Probab Lett 46: 105--112 · Zbl 0960.60026 · doi:10.1016/S0167-7152(99)00093-0
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