Nguyen Duy Tien; Vidal Vazquez, Ricardo On comparison theorems for random series in Banach spaces. (English) Zbl 0942.60031 Acta Math. Vietnam. 24, No. 3, 311-330 (1999). Summary: Given two random series in a Banach space one of them is convergent almost surely (a.s.), we find sufficient conditions for the other one to be convergent a.s. in terms of certain inequalities. MSC: 60G50 Sums of independent random variables; random walks 60B11 Probability theory on linear topological spaces Keywords:comparison theorems; random series; probability measures in Banach spaces PDF BibTeX XML Cite \textit{Nguyen Duy Tien} and \textit{R. Vidal Vazquez}, Acta Math. Vietnam. 24, No. 3, 311--330 (1999; Zbl 0942.60031)