Complete convergence for weighted sums of NA sequences

被引：77
|
作者：
Liang, HY
Su, C
机构：
[1] Tongji Univ, Dept Appl Math, Shanghai 200092, Peoples R China
[2] Univ Sci & Technol China, Dept Stat & Finance, Hefei 230026, Anhui, Peoples R China
来源：
STATISTICS & PROBABILITY LETTERS | 1999年 / 45卷 / 01期
关键词：
complete convergence; weighted sum; NA sequence;
D O I：
10.1016/S0167-7152(99)00046-2
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：
Under general weighting coefficient, we obtain the complete convergence far weighted sums of negatively associated (NA) sequences, and discuss its necessity. The results on i.i.d. setting of Chow [Ann. Math. Statist. 37 (1966) 1482-1492], Thrum [Probab. Theory Rel. Fields 75 (1987) 425-430] and Li et al. [J. Theor. Probab. 8 (1995) 49-76] are extended and generalized. Also, the sufficient part of Wang et al.'s [Sci. in China 41 (1998) 939-949] Theorem 1 is extended. (C) 1999 Elsevier Science B.V. All rights reserved.
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页码：85 / 95
页数：11
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