Asymptotic properties of the moment convergence for NA sequences |
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Authors: | Yuexu ZHAO |
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Institution: | Department of Mathematics, Hangzhou Dianzi University, Hangzhou 310018, China |
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Abstract: | It is well-known that the complete convergence theorem for i.i.d. random variables has been an active topic since the famous work done by Hsu and Robbins 6]. Chow 4] obtained a moment version of Hsu and Robbins series. However, the series tends to infinity whenever ε goes to zero, so it is of interest to investigate the asymptotic behavior of the series as ε goes to zero. This note gives some limit theorems of the series generated by moments for NA random variables. |
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Keywords: | Asymptotic property rate of convergence complete moment convergence NA sequence |
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