Exponential inequalities for weighted sums of bounded random variables

被引:1
作者
Rio, Emmanuel [1 ]
机构
[1] CNRS, UMR 8100, Lab Math Versailles, F-75700 Paris, France
来源
ELECTRONIC COMMUNICATIONS IN PROBABILITY | 2015年 / 20卷
关键词
Hoeffding's inequality; Bernstein's inequality; Bennett's inequality; Deviation inequalities; Weighted sums; PROBABILITY-INEQUALITIES;
D O I
10.1214/ECP.v20-4204
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
In this paper we give new exponential inequalities for weighted sums of real-valued independent random variables bounded on the right. Our results are extensions of the results of Bennett (1962) to weighted sums
引用
收藏
页码:1 / 10
页数:10
相关论文
共 50 条
  • [31] A note on the rates of convergence for weighted sums of ρ*-mixing random variables
    Yongfeng Wu
    Soo Hak Sung
    Andrei Volodin
    Lithuanian Mathematical Journal, 2014, 54 : 220 - 228
  • [32] A NOTE ON THE STRONG CONVERGENCE FOR WEIGHTED SUMS OF ρ*-MIXING RANDOM VARIABLES
    Huang, Haiwu
    Zou, Hang
    Feng, Yanhong
    Feng, Fengxiang
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2018, 12 (02): : 507 - 516
  • [33] On the strong convergence of weighted sums of widely dependent random variables
    Cheng, Dongya
    Zhang, Wenhai
    Wang, Yuebao
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2016, 45 (21) : 6447 - 6460
  • [34] ON THE COMPLETE MOMENT CONVERGENCE OF WEIGHTED SUMS OF ρ*-MIXING RANDOM VARIABLES
    Ge, Meimei
    Lv, Wenhua
    Wu, Yongfeng
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2019, 13 (01): : 177 - 185
  • [35] A SUPPLEMENT TO THE STRONG LAWS FOR WEIGHTED SUMS OF φ-MIXING RANDOM VARIABLES
    Huang, Haiwu
    Wang, Dingcheng
    Wu, Qunying
    Peng, Jiangyan
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2014, 8 (03): : 417 - 425
  • [36] On the strong laws of large numbers for weighted sums of random variables
    Chen, Pingyan
    Sung, Soo Hak
    STATISTICS & PROBABILITY LETTERS, 2016, 118 : 87 - 93
  • [37] ON COMPLETE MOMENT CONVERGENCE FOR WEIGHTED SUMS OF AANA RANDOM VARIABLES
    Huang, Haiwu
    Zhang, Hanjun
    Zhang, Qingxia
    KYBERNETIKA, 2016, 52 (02) : 294 - 306
  • [38] Complete convergence for weighted sums of pairwise independent random variables
    Ge, Li
    Liu, Sanyang
    Miao, Yu
    OPEN MATHEMATICS, 2017, 15 : 467 - 476
  • [39] A note on the rates of convergence for weighted sums of ρ * -mixing random variables
    Wu, Yongfeng
    Sung, Soo Hak
    Volodin, Andrei
    LITHUANIAN MATHEMATICAL JOURNAL, 2014, 54 (02) : 220 - 228
  • [40] On the strong law of large numbers for weighted sums of random variables
    Sung, Soo Hak
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (11) : 4277 - 4287