非同分布随机元和的收敛速度(英文)

Convergence Rates for Sums of Non-identically Distributed Random Elements

英文关键词:convergence rate  B-valued random element  partial sum  space of type p.

中文摘要:

      本文在弱于［１］的矩条件下，对，ｒ＞１讨论了ｐ（１＜ｐ≤２）型空间中非同分布随机元和的收敛速度，同时获得了ｐ型巴拿哈空间的刻划，作为应用，我们给出了随机元随机指标部分和的收敛速度．

英文摘要:

      Under some conditions on probability, we discuss the results in [1] for the part r > 1, which Yang had not solved, such that the convergence rates are solved thoroughly in this case. Obviously our conditions are weaker than Yang's corresponding moment conditions. Meanwhile, Banach spaces of type p(1 < p ≤2) are characterized. For 0