In this paper, we study the complete convergence and complete moment convergence for negatively associated sequences of random variables with EX = 0, E exp(ln α |X|) < ∞, α > 1. As a result, we extend some complete convergence and complete moment convergence theorems for independent random variables to the case of negatively associated random variables without necessarily imposing any extra conditions. Our results generalize corresponding results obtained by Gut and Stadtmüller (Stat. Probab. Lett. 81:1486-1492, 2011 and Qiu and Chen (Stat. Probab. Lett. 91:76-82, 2014).
MSC: Primary 60F15
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