摘要
该文在随机元阵列随机有界于某非负随机变量的条件下，得到了B值随机元阵列完全收敛性的一般性结论，并讨论了随机元阵列加权和的收敛性，使[5][6]中的结果得到了改进和推广．同时讨论了完全收敛性与Banach空间p型（1＜P≤2）性质的等价性，使[14]，[15]中的结果得到进一步的改进．
We obtain general results of complete convergence for array4 of rowwise independent random elements in a separable Banach space which are stochastically bounded by a positive random variable and discuss some convergence results for the sequence of weighted sums ofthe form Some results in [5], [6]are improved and extended. Meanwhile, Wediscuss the equivalence of the complete convergence and the properties Banach Space of type pas well. Some results in [14], [15]are further improved.
出处
《数学物理学报（A辑）》
CSCD
北大核心
1998年第1期89-96,共8页
Acta Mathematica Scientia
关键词
B值随机元
完全收敛性
P型空间
大数定律
Random element in Banach Space, Complete Convergence, Banach Space of typep, Law of large number
