EXPONENTIAL INEQUALITIES FOR BOUNDED RANDOM VARIABLES

被引:0
|
作者
Huang, Guangyue
Guo, Xin [2 ]
Du, Hongxia [1 ]
He, Yi [1 ]
Miao, Yu [1 ]
机构
[1] Henan Normal Univ, Coll Math & Informat Sci, Henan Engn Lab Big Data Stat Anal & Optimal Contr, Xinxiang 453007, Henan, Peoples R China
[2] Anyang Normal Univ, Sch Math & Stat, Xinxiang 453007, Henan, Peoples R China
关键词
bounded random variables; martingale difference sequence; negatively associated; Markov chians; exponential inequalities; SUMS; MARTINGALES; DEPENDENCE; THEOREM;
D O I
10.1515/ms-2015-0106
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the paper, several precise exponential inequalities for the sums of bounded or semi-bounded random variables are established, which involve independent random variables, martingale difference sequence, negatively associated random variables, Markov chains. (C) 2015 Mathematical Institute Slovak Academy of Sciences
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页码:1557 / 1570
页数:14
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