Strong laws for weighted sums of random elements

被引：2
|
作者：
Liang, HY [1 ]
Su, C
机构：
[1] Tongji Univ, Dept Appl Math, Shanghai 200092, Peoples R China
[2] Univ Sci & Technol China, Dept Stat & Finance, Anhua 230026, Peoples R China
来源：
STATISTICA SINICA | 2000年 / 10卷 / 03期
关键词：
Banach space of type p; random element; strong law; weighted sum;
D O I：
暂无
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
Strong laws of large numbers for weighted sums of independent random variables are proved for Banach spaces of type p. Chen, Zhu and Fang's (1996) results on real-valued i.i.d. random variables are extended and generalized, and their unsolved problem is answered. Also, necessary conditions for these strong convergences are considered.
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页码：1011 / 1019
页数：9
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