行内独立B-值随机变量组列的完全收敛性质

Complete Convergence for Arrays of B-Valued Random Elements

该文研究了B值随机元阵列的完全收敛性质。通过使用一些关于B值独立随机变量的矩不等式和Etemandi不等式,把主要结果从实值情况推广到了P(1≤P≤2)型的巴拿赫空间中,并且将定理条件进行了极大的简化。同时进一步弱化定理的条件,给出了其它形式的完全收敛定理。

In this paper, we discuss complete convergence for arrays of row wise independent B - valued random variables. By using of the moment inequalities for B - valued random variables and Etemandi inequality, we not only generalize the main results of Chen^[l] and Sung^[3]（2005） to Banach space, but also weaken the condition of their results. We also give the other theorem on condition that weaker condition of the theorem.