THE TIGHT CONSTANT IN THE DVORETZKY-KIEFER-WOLFOWITZ INEQUALITY

被引:453
作者
MASSART, P
机构
关键词
D O I
10.1214/aop/1176990746
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
引用
收藏
页码:1269 / 1283
页数:15
相关论文
共 9 条
[1]  
[Anonymous], 1968, INTRO PROBABILITY TH
[2]   HUNGARIAN CONSTRUCTIONS FROM THE NONASYMPTOTIC VIEWPOINT [J].
BRETAGNOLLE, J ;
MASSART, P .
ANNALS OF PROBABILITY, 1989, 17 (01) :239-256
[3]  
CSAKI E, 1981, SELECTED T MATH STAT, V15, P229
[4]   RECOVERY OF DISCRETE PROBABILITY DENSITIES FROM IMPERFECT MEASUREMENTS [J].
DEVROYE, LP ;
WISE, GL .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1979, 307 (01) :1-20
[5]   ASYMPTOTIC MINIMAX CHARACTER OF THE SAMPLE DISTRIBUTION FUNCTION AND OF THE CLASSICAL MULTINOMIAL ESTIMATOR [J].
DVORETZKY, A ;
KIEFER, J ;
WOLFOWITZ, J .
ANNALS OF MATHEMATICAL STATISTICS, 1956, 27 (03) :642-669
[6]  
HU I, 1985, ANN STAT, V13, P811
[7]  
Kolmogorov A., 1933, GIORN I ITAL DEGLI A, V4, P83, DOI DOI 10.1016/J.SAB.2008.10.045
[8]  
Wellner J.A., 1986, EMPIRICAL PROCESSES
[9]  
[No title captured]