STABILITY RESULTS AND STRONG INVARIANCE-PRINCIPLES FOR PARTIAL-SUMS OF BANACH-SPACE VALUED RANDOM-VARIABLES

被引：9

作者：

EINMAHL, U ^{[1
]}

机构：

[1] UNIV COLOGNE,D-5000 COLOGNE 41,FED REP GER

来源：

ANNALS OF PROBABILITY | 1989年 / 17卷 / 01期

关键词：

D O I：

10.1214/aop/1176991512

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：333 / 352

页数：20

共 19 条

[1]

Araujo A, 1980, CENTRAL LIMIT THEORE

[2] APPROXIMATION THEOREMS FOR INDEPENDENT AND WEAKLY DEPENDENT RANDOM VECTORS [J].

BERKES, I ;

PHILIPP, W .

ANNALS OF PROBABILITY, 1979, 7 (01) :29-54

[3]

DEACOSTA A, 1981, ANN PROBAB, V9, P157

[4] STRONG APPROXIMATIONS FOR PARTIAL-SUMS OF LLD B-VALUED RVS IN THE DOMAIN OF ATTRACTION OF A GAUSSIAN LAW [J].

EINMAHL, U .

PROBABILITY THEORY AND RELATED FIELDS, 1988, 77 (01) :65-85

[5] A USEFUL ESTIMATE IN THE MULTIDIMENSIONAL INVARIANCE-PRINCIPLE [J].

EINMAHL, U .

PROBABILITY THEORY AND RELATED FIELDS, 1987, 76 (01) :81-101

[6] STRONG INVARIANCE-PRINCIPLES FOR PARTIAL-SUMS OF INDEPENDENT RANDOM VECTORS [J].

EINMAHL, U .

ANNALS OF PROBABILITY, 1987, 15 (04) :1419-1440

[7]

FELLER W, 1968, J MATH MECH, V18, P343

[8] SOME LIMIT-THEOREMS FOR EMPIRICAL PROCESSES [J].

GINE, E ;

ZINN, J .

ANNALS OF PROBABILITY, 1984, 12 (04) :929-989

[9] SOME RESULTS ON THE LIL IN BANACH-SPACE WITH APPLICATIONS TO WEIGHTED EMPIRICAL PROCESSES [J].

GOODMAN, V ;

KUELBS, J ;

ZINN, J .

ANNALS OF PROBABILITY, 1981, 9 (05) :713-752

[10] RELATION BETWEEN CENTRAL LIMITED THEOREM AND LAW OF THE ITERATED LOGARITHM IN BANACH-SPACES [J].

HEINKEL, B .

ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1979, 49 (02) :211-220

← 1 2 →