| 非同分布随机元和的收敛速度 |
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| 引用本文： | 梁汉营,任耀峰. 非同分布随机元和的收敛速度[J]. 数学研究及应用, 2001, 21(3): 349-354 |
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| 作者姓名： | 梁汉营 任耀峰 |
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| 作者单位： | 1. 同济大学应用数学系,
2. 海军工程学院数学研究室, |
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| 基金项目： | Supported by the ScienceFund of Tongji University |
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| 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．
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| 关 键 词： | 非同分布 随机元和 收敛速度 P型巴拿赫空间 Banach空间 |
| 文章编号： | 1000-341X(2001)03-0349-06 |
| 收稿时间： | 1998-08-14 |
| 修稿时间： | 1998-08-14 |
Convergence Rates for Sums of Non-identically Distributed Random Elements |
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| LIANG Han-ying and REN Yao-feng. Convergence Rates for Sums of Non-identically Distributed Random Elements[J]. Journal of Mathematical Research with Applications, 2001, 21(3): 349-354 |
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| Authors: | LIANG Han-ying and REN Yao-feng |
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| Affiliation: | Dept. of Appl. Math.; Tongji University; Shanghai; China;Dept. of Math.; The Naval Acad. Inst. of Eng. of China; Wuhan; China |
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| Abstract: | Under some conditions on probability, we discuss the results in [1] for thepart r ＞ 1, which Yang[1] had not solved, such that the convergence rates are solvedthoroughly 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 ＜ t ＜ 1, we prove that the corresponding results hold for independent randomelements in any Banach space. As application we give the corresponding results forrandomly indexed partial sums. |
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| Keywords: | convergence rate B-valued random element partial sum space of type p. |
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