Hajek-Renyi Type Inequalities and Strong Law of Large Numbers for NOD Sequences

被引:0
作者
Ma Songlin [1 ]
机构
[1] Chao Hu Univ, Dept Math, Hefei 238000, Peoples R China
来源
APPLIED MATHEMATICS & INFORMATION SCIENCES | 2013年 / 7卷 / 06期
关键词
Hajek-Renyi inequality; negatively orthant dependent sequences; strong law of large numbers; RANDOM-VARIABLES;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In the paper, we get the precise results of Hajek-Renyi type inequalities for the partial sums of negatively orthant dependent sequences, which improve the results of Theorem 3.1 and Corollary 3.2 in Kim (2006). In addition, the Marcinkiewicz type strong law of large numbers is obtained. At last, the strong stability for weighted sums of negatively orthant dependent sequences is discussed.
引用
收藏
页码:2519 / 2523
页数:5
相关论文
共 12 条
[1]  
[Anonymous], 1955, Acta Mathematica Hungarica
[2]  
Bozorgnia A., 1996, P 1 WORLD C NONL AN, V92, P1639
[3]   Maximal inequalities for demimartingales and a strong law of large numbers [J].
Christofides, TC .
STATISTICS & PROBABILITY LETTERS, 2000, 50 (04) :357-363
[4]   A general approach to the strong law of large numbers [J].
Fazekas, I ;
Klesov, O .
THEORY OF PROBABILITY AND ITS APPLICATIONS, 2000, 45 (03) :436-449
[5]  
Gan SX, 1997, STAT PROBABIL LETT, V32, P245
[6]   On extending the Brunk-Prokhorov strong law of large numbers for martingale differences [J].
Hu Shuhe ;
Chen Guijing ;
Wang Xuejun .
STATISTICS & PROBABILITY LETTERS, 2008, 78 (18) :3187-3194
[7]   The Hajek-Renyi-type inequality for associated random variables [J].
Hu Shuhe ;
Wang Xuejun ;
Yang Wenzhi ;
Zhao Ting .
STATISTICS & PROBABILITY LETTERS, 2009, 79 (07) :884-888
[8]   NEGATIVE ASSOCIATION OF RANDOM-VARIABLES, WITH APPLICATIONS [J].
JOAGDEV, K ;
PROSCHAN, F .
ANNALS OF STATISTICS, 1983, 11 (01) :286-295
[9]  
Kim H.C., 2006, INT J CONT MATH SCI, V1, P297
[10]   The Hajeck-Renyi inequality for the NA random variables and its application [J].
Liu, JJ ;
Gan, SX ;
Chen, PY .
STATISTICS & PROBABILITY LETTERS, 1999, 43 (01) :99-105