| Banach空间中随机元的强收敛性 |
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| 引用本文： | 李钢. Banach空间中随机元的强收敛性[J]. 四川大学学报(自然科学版), 1988, 0(4) |
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| 作者姓名： | 李钢 |
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| 摘 要： | 本文讨论了Hiibert空间中两两独立同分布随机元的Marcinkiewicz强大数律(SLLN),并把一维欧氏空间中的Hajek—Renyi不等式推广到p—型Banach空间中,由此得出若干结论。最后用几个例子说明,空间的几何结构对其收敛速度有很大影响。
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| 关 键 词： | 概率论 随机元 Hiibert空间 强大数律 p—型Banach空间 |
ON THE STRONG CONVERGENCE OF RANDOM ELEMENTS IN BANACH SPACES |
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| Li Gang. ON THE STRONG CONVERGENCE OF RANDOM ELEMENTS IN BANACH SPACES[J]. Journal of Sichuan University (Natural Science Edition), 1988, 0(4) |
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| Authors: | Li Gang |
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| Abstract: | The author gives a Marcinkiewicz SLLN for pairwise independent identically distributed ran-dom elements valued in a separable Hilbcrt space, and constructs Hajek-Renyi's inequalities in type-p spaces. Finally, author gives some examples to show that the geometric structures will make a notable impact on the rates of convergence. |
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| Keywords: | probability random element Hilbert space strongle law of large number p-type Banach space. |
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