WEAK CONVERGENCE OF EMPIRICAL PROCESSES IN SUP-NORM METRICS

被引:59
作者
OREILLY, NE [1 ]
机构
[1] RUTGERS STATE UNIV,STATISTICS CTR,NEW BRUNSWICK,NJ 08903
关键词
D O I
10.1214/aop/1176996610
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:642 / 651
页数:10
相关论文
共 9 条
[1]  
Breiman L., 1968, PROBABILITY
[2]  
CHIBISOV D, 1964, SELECT TRANSL MATH S, V6, P147
[3]  
FREEDMAN D, 1970, BROWNIAN MOTION DIFF
[4]  
Ito K., 1965, DIFFUSION PROCESSES
[5]  
LEVY P, 1954, MEMOR SCI MATH, V126
[6]   SOME LIMIT THEOREMS FOR LARGE DEVIATIONS [J].
NAGAEV, SV .
THEORY OF PROBILITY AND ITS APPLICATIONS,USSR, 1965, 10 (02) :214-&
[7]   WEAK CONVERGENCE OF A 2-SAMPLE EMPIRICAL PROCESS AND A NEW APPROACH TO CHERNOFF-SAVAGE THEOREMS [J].
PYKE, R ;
SHORACK, GR .
ANNALS OF MATHEMATICAL STATISTICS, 1968, 39 (03) :755-&
[8]   BOUNDARY CROSSING PROBABILITIES FOR WIENER PROCESS AND SAMPLE SUMS [J].
ROBBINS, H ;
SIEGMUND, D .
ANNALS OF MATHEMATICAL STATISTICS, 1970, 41 (05) :1410-&
[9]   A RATE OF CONVERGENCE FOR VON MISES STATISTIC [J].
ROSENKRANTZ, WA .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 139 (MAY) :329-+