A note on the strong convergence for weighted sums of ρSUP*/SUP -mixing random variables

摘要

In this work, the authors investigate the strong convergence for weighted sums of ρ . - mixing random variables and obtain an improved convergence theorem so called the complete moment convergence in some sense. The result archived not only generalizes the corresponding ones of Sung (Stat. Papers 52: 447–454 (2011)), Zhou et al. (J. Inequal. Appl. 2011, Article ID 157816 (2011)), Sung (Stat. Papers 54: 773–781 (2013)) and Wu et al. (Lith. Math. J. 54 (2): 220–228 (2014)), but also improves them, respectively.