数学物理学报(英文版)
數學物理學報(英文版)
수학물이학보(영문판)
Acta Mathematica Scientia
2001年
2期
229-236
,共8页
The author discusses necessary and sufficient conditions of the complete convergence for sums of B-valued independent but not necessarily identically distributed r.v.'s in Banach space of type p, and obtains characterization of Banach space of type p in terms of the complete convergence. A series of classical results on iid real valued r.v.'s are extended. As application authors give the analogous results for randomly indexed sums.