Liu, Guoxin On the conditional version of Kolmogorov’s three-series theorem. (English) Zbl 0936.60028 Acta Math. Sci. (Engl. Ed.) 19, No. 3, 300-306 (1999). Summary: This paper studies the conditional version of Kolmogorov’s three-series theorem, and gets a new extension form of the conditional version. The results present an answer to the question when (or where) the conditional version also provides necessary conditions for convergence in dependent cases. Furthermore, some new sufficient conditions are obtained. MSC: 60F15 Strong limit theorems 60G25 Prediction theory (aspects of stochastic processes) Keywords:three-series theorem; dependent random variables; predictable; local absolute continuity; martingale PDFBibTeX XMLCite \textit{G. Liu}, Acta Math. Sci. (Engl. Ed.) 19, No. 3, 300--306 (1999; Zbl 0936.60028)