The law of the large numbers for U-statistics for 2m-wise independent random variables

被引：1
|
作者：
Arcones, MA [1 ]
机构：
[1] Univ Texas, Dept Math, Austin, TX 78712 USA
来源：
STATISTICS & PROBABILITY LETTERS | 1998年 / 40卷 / 01期
关键词：
strong law of the large numbers; U-statistics; Marcinkiewicz laws of large numbers;
D O I：
10.1016/S0167-7152(98)00108-4
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：
The strong law of the large numbers for U-statistics has been proved for a sequence of independent random variables using martingale techniques. We see that the condition of independence can be relaxed to 2m-wise independence. In this case martingale techniques cannot be applied. We also consider Marcinkiewicz laws of large numbers for U-statistics for a special, case. (C) 1998 Elsevier Science B.V. All rights reserved.
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页码：75 / 81
页数：7
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