Almost everywhere convergence for sequences of pairwise NQD random variables

In this article, we are going to study the almost everywhere convergence for sequences of pairwise negatively quadrant dependent random variables by using truncation technique and Kolmogorov-type generalized three-series theorem. Our results generalize and improve the corresponding results of Wu (2002 Wu, Q. Y. (2002). Convergence properties of pairwise NQD random sequence. Acta. Math. Sin. 45:617–624 (in Chinese). Google Scholar]) and Li and Yang (2008 Li, R., Yang, W. G. (2008). Strong convergence of pairwise NQD random sequences. J. Math. Anal. Appl. 334:741–747.Crossref], Web of Science ®] , Google Scholar]). We also give some examples showing that our extensions are not trivial.