UNIVERSAL DONSKER CLASSES AND METRIC ENTROPY

被引:98
作者
DUDLEY, RM [1 ]
机构
[1] OHIO STATE UNIV,DEPT MATH,COLUMBUS,OH 43210
关键词
D O I
10.1214/aop/1176991978
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:1306 / 1326
页数:21
相关论文
共 40 条
[1]   THE CENTRAL-LIMIT-THEOREM FOR EMPIRICAL PROCESSES ON VAPNIK-CERVONENKIS CLASSES [J].
ALEXANDER, KS .
ANNALS OF PROBABILITY, 1987, 15 (01) :178-203
[2]   PROBABILITY-INEQUALITIES FOR EMPIRICAL PROCESSES AND A LAW OF THE ITERATED LOGARITHM [J].
ALEXANDER, KS .
ANNALS OF PROBABILITY, 1984, 12 (04) :1041-1067
[3]  
ALEXANDER KS, 1985, IN PRESS J MULTIVARI
[4]  
ALEXANDER KS, 1985, P BERK C HON JERZ NE, V2, P475
[5]   DENSITY AND DIMENSION [J].
ASSOUAD, P .
ANNALES DE L INSTITUT FOURIER, 1983, 33 (03) :233-282
[6]   LOWER BOUNDS ON THE APPROXIMATION OF THE MULTIVARIATE EMPIRICAL PROCESS [J].
BECK, J .
ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1985, 70 (02) :289-306
[7]  
Breiman L., 1984, CLASSIFICATION REGRE
[9]   THE USE OF MAXIMUM LIKELIHOOD ESTIMATES IN X2 TESTS FOR GOODNESS OF FIT [J].
CHERNOFF, H ;
LEHMANN, EL .
ANNALS OF MATHEMATICAL STATISTICS, 1954, 25 (03) :579-586
[10]   WEIGHTED EMPIRICAL AND QUANTILE PROCESSES [J].
CSORGO, M ;
CSORGO, S ;
HORVATH, L ;
MASON, DM .
ANNALS OF PROBABILITY, 1986, 14 (01) :31-85