APPROXIMATION THEOREMS FOR INDEPENDENT AND WEAKLY DEPENDENT RANDOM VECTORS

被引：222

作者：

BERKES, I ^{[1
]}

PHILIPP, W ^{[1
]}

机构：

[1] UNIV ILLINOIS,DEPT MATH,URBANA,IL 61801

来源：

关键词：

D O I：

10.1214/aop/1176995146

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

页码：29 / 54

页数：26

共 15 条

[1] Bahr B. V., 1967, ARK MAT, V7, P71
[2] ALMOST SURE INVARIANCE PRINCIPLE FOR EMPIRICAL DISTRIBUTION FUNCTION OF MIXING RANDOM-VARIABLES
BERKES, I
PHILIPP, W
[J]. ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1977, 41 (02): : 115 - 137
[3] Chung K.L., 1974, COURSE PROBABILITY T, V2nd
[4] NEW METHOD TO PROVE STRASSEN TYPE LAWS OF INVARIANCE PRINCIPLE .1.
CSORGO, M
REVESZ, P
[J]. ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1975, 31 (04): : 255 - 259
[5] DISTANCES OF PROBABILITY MEASURES AND RANDOM VARIABLES
DUDLEY, RM
[J]. ANNALS OF MATHEMATICAL STATISTICS, 1968, 39 (05): : 1563 - &
[6] DVORETZKY A, 1970, 6TH P BERK S MATH ST, V2, P513
[7] Heyde CC., 1973, ANN PROBAB, V1, P428, DOI [10.1214/aop/1176996937, DOI 10.1214/AOP/1176996937]
[8] Ibragimov IA., 1962, TEOR VEROJATNOST PRI, V7, P349, DOI [10.1137/1107036, DOI 10.1137/1107036]
[9] SKOROHOD EMBEDDING OF MULTIVARIATE RVS, AND SAMPLE DF
KIEFER, J
[J]. ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1972, 24 (01): : 1 - &
[10] APPROXIMATION OF PARTIAL SUMS OF INDEPENDENT RV-S, AND SAMPLE DFI
KOMLOS, J
MAJOR, P
TUSNADY, G
[J]. ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1975, 32 (1-2): : 111 - 131