| p—型空间与B值随机元和尾概率的收敛速度 |
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| 引用本文： | 梁汉营,牛司丽.p—型空间与B值随机元和尾概率的收敛速度[J].应用数学学报,1998,21(1):92-102. |
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| 作者姓名： | 梁汉营 牛司丽 |
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| 作者单位： | [1]中国科学技术大学统计与金融系 [2]河南机电专科学校基础部 |
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| 基金项目： | 国家自然科学基金，河南省教委基金 |
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| 摘 要： | 本文讨论了Ｂ值随机元非随机足标与随机足标和尾概率的收敛速度。借助于Ｂ值独立随机元序列满足强大数定律与弱大数定律等价的这一特性，得到了Ｂａｎａｃｈ空间ｐ型性质的刻划，同时将（１，２）中实值独立同分布随机变量和完全收敛性的相应结果推广到Ｂ值独立但不必同分布情形。
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| 关 键 词： | B值随机元 尾概率 p－型空间 收敛速度 随机变量 |
p-TYPE SPACE AND CONVERGENCE RATES OF TAIL PROBABILITIES FOR SUMS OF B-VALUED RANDOM ELEMENTS |
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| LIANG HANYING.p-TYPE SPACE AND CONVERGENCE RATES OF TAIL PROBABILITIES FOR SUMS OF B-VALUED RANDOM ELEMENTS[J].Acta Mathematicae Applicatae Sinica,1998,21(1):92-102. |
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| Authors: | LIANG HANYING |
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| Abstract: | We discuss in this paper convergence rates of tail probabilties for partial sumsand randomly indexed partial sums of B-valued random elements. By the equivalent property of strong and weak law of large numbers of B-valued independent random elements,we obtain the characterization of p--type Banach space in teams of the convergence rates forsums of zero mean B--valued independent random elements. The corresponding results in1,2] on i.i.d. real random variables are extended to the case of B-valued independent but notnecessary identically distributed random elements, and when 0 < t < 1, the independenceon random elements is eliminated. |
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| Keywords: | B-valued random element tail probability p-type space convergence rate |
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