L r convergence for B-valued random elements

被引：8

作者：

Chen, Ping Yan ^{[1
]}

Wang, Ding Cheng ^{[2
]}

机构：

[1] Jinan Univ, Dept Math, Guangzhou 510630, Guangdong, Peoples R China

[2] Univ Elect Sci & Technol China, Sch Appl Math, Chengdu 610054, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2012年 / 28卷 / 04期

基金：

中国国家自然科学基金;

关键词：

L-r convergence; random element; Rademacher type p; Marcinkiewicz-Zygmund strong law of large number; P BANACH-SPACES; WEIGHTED SUMS; LARGE NUMBERS; UNIFORM INTEGRABILITY; WEAK LAW; THEOREMS;

D O I：

10.1007/s10114-011-9475-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper investigates L (p) convergence and Marcinkiewicz-Zygmund strong laws of large numbers for random elements in a Banach space under the condition that the Banach space is of Rademacher type p, 1 < p < 2. The paper also discusses L (r) convergence and L (r) bound for random elements without any geometric restriction condition on the Banach space.

引用

页码：857 / 868

页数：12

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