LIPSCHITZ SMOOTHNESS AND CONVERGENCE WITH APPLICATIONS TO THE CENTRAL LIMIT-THEOREM FOR SUMMATION PROCESSES

被引:11
作者
ERICKSON, RV
机构
关键词
D O I
10.1214/aop/1176994311
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:831 / 851
页数:21
相关论文
共 25 条
[1]  
Bhattacharya R.N., 1976, WILEY SERIES PROBABI
[2]  
Billingsley P, 1968, CONVERGENCE PROBABIL
[3]   SOME CONVERGENCE THEOREMS FOR INDEPENCENT RANDOM VARIABLES [J].
CHOW, YS .
ANNALS OF MATHEMATICAL STATISTICS, 1966, 37 (06) :1482-&
[4]  
DELPORTE J, 1964, ANN I H POINCARE, V1, P111
[5]  
Dudley R. M., 1974, Journal of Approximation Theory, V10, P227, DOI 10.1016/0021-9045(74)90120-8
[6]   CENTRAL LIMIT-THEOREMS FOR EMPIRICAL MEASURES [J].
DUDLEY, RM .
ANNALS OF PROBABILITY, 1978, 6 (06) :899-929
[7]   SAMPLE FUNCTIONS OF GAUSSIAN PROCESS [J].
DUDLEY, RM .
ANNALS OF PROBABILITY, 1973, 1 (01) :66-103
[8]  
Dunford N., 1958, PURE APPL MATH
[9]   VAGUE CONVERGENCE OF STOCHASTIC-PROCESSES [J].
ERICKSON, RV ;
FABIAN, V .
ANNALS OF PROBABILITY, 1975, 3 (06) :1014-1022
[10]  
Feller W., 2008, INTRO PROBABILITY TH