On the Exponential Inequality for Weighted Sums of a Class of Linearly Negative Quadrant Dependent Random Variables

被引:0
作者
Xing, Guodong [1 ]
Yang, Shanchao [1 ]
机构
[1] Guangxi Normal Univ, Sch Math & Stat, Guilin 541004, Peoples R China
来源
SCIENTIFIC WORLD JOURNAL | 2014年
基金
美国国家科学基金会;
关键词
THEOREM;
D O I
10.1155/2014/748242
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
The exponential inequality for weighted sums of a class of linearly negative quadrant dependent random variables is established, which extends and improves the corresponding ones obtained by Ko et al. (2007) and Jabbari et al. (2009). In addition, we also give the relevant precise asymptotics.
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页数:6
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共 13 条
  • [1] An exponential inequality for negatively associated random variables
    Jabbari, H.
    Jabbari, M.
    Azarnoosh, H. A.
    [J]. ELECTRONIC JOURNAL OF STATISTICS, 2009, 3 : 165 - 175
  • [2] NEGATIVE ASSOCIATION OF RANDOM-VARIABLES, WITH APPLICATIONS
    JOAGDEV, K
    PROSCHAN, F
    [J]. ANNALS OF STATISTICS, 1983, 11 (01) : 286 - 295
  • [3] Kim HC, 2005, COMMUN KOREAN MATH S, V20, P531
  • [4] Kim TS, 2007, COMMUN KOREAN MATH S, V22, P315
  • [5] Ko MH, 2007, COMMUN KOREAN MATH S, V22, P137
  • [6] SOME CONCEPTS OF DEPENDENCE
    LEHMANN, EL
    [J]. ANNALS OF MATHEMATICAL STATISTICS, 1966, 37 (05): : 1137 - &
  • [7] Newman C. M., 1984, IMS LECTURE NOTES MO, V5, P127
  • [8] A note on the exponential inequality for associated random variables
    Sung, Soo Hak
    [J]. STATISTICS & PROBABILITY LETTERS, 2007, 77 (18) : 1730 - 1736
  • [9] An Exponential Inequality for Negatively Associated Random Variables
    Sung, Soo Hak
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2009,
  • [10] A Berry-Esseen theorem for weakly negatively dependent random variables and its applications
    Wang, JF
    Zhang, LX
    [J]. ACTA MATHEMATICA HUNGARICA, 2006, 110 (04) : 293 - 308