On complete convergence for arrays

In this note we present new results on a complete convergence for arrays of rowwise independent random variables that generalize the results of Hu et al. [2003. Complete convergence for arrays of rowwise independent random variables. Comm. Korean Math. Soc. 18, 375–383], Kuczmaszewska [2004. On some conditions for complete convergence for arrays. Statist. Probab. Lett. 66, 399–405], and Sung et al. [2005. More on complete convergence for arrays. Statist. Probab. Lett. 71, 303–311]. Additional results that deal with complete convergence for rowwise dependent arrays are given.