A note on complete convergence for arrays

被引：39
|
作者：
Hu, TC
Szynal, D
Volodin, AI
机构：
[1] Tsing Hua Univ, Dept Math, Hsinchu 30043, Taiwan
[2] Marie Curie Sklodowska Univ, Dept Math, PL-20031 Lublin, Poland
[3] Kazan State Univ, Res Inst Math, Kazan 420008, Russia
来源：
STATISTICS & PROBABILITY LETTERS | 1998年 / 38卷 / 01期
关键词：
array; rowwise independence; sums of independent random variables; complete convergence; strong law of large numbers;
D O I：
10.1016/S0167-7152(98)00150-3
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：
We extend and generalize some recent results on complete convergence for independent non-identically distributed random variables (cf. Duncan and Szynal, 1984; Gut, 1992; Hu et al., 1989). In the main result no assumptions are made concerning the existence of expected values or absolute moments of the random variables. Some well-known results from the literature can be easily obtained from our theorem. (C) 1998 Elsevier Science B.V. All rights reserved.
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页码：27 / 31
页数：5
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