A note on complete convergence for arrays

被引：40

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.

引用

页码：27 / 31

页数：5

共 8 条

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