Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4663588 | Acta Mathematica Scientia | 2014 | 12 Pages |
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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