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A remark on the exponential inequality for negatively associated random variables. (English) Zbl 1293.60042
Summary: We give an exponential inequality for negatively associated random variables. The inequality improves the corresponding result which was obtained in [T.-S. Kim and H.-C. Kim, Commun. Korean Math. Soc. 22, No. 2, 315–321 (2007; Zbl 1168.60335)]. We also obtain the convergence rate \(n^{-1/2}(\log n)^{3/2}\) for the strong law of large numbers, which improves the corresponding one obtained by the authors in the above-cited reference.

60F15 Strong limit theorems
62G20 Asymptotic properties of nonparametric inference
Full Text: DOI
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