AN ALMOST SURE INVARIANCE-PRINCIPLE FOR TRIANGULAR ARRAYS OF BANACH-SPACE VALUED RANDOM-VARIABLES

被引：8

作者：

DABROWSKI, A

DEHLING, H

PHILIPP, W

机构：

[1] UNIV GOTTINGEN,INST MATH STOCHAST,D-3400 GOTTINGEN,FED REP GER

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

来源：

ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE | 1984年 / 65卷 / 04期

关键词：

D O I：

10.1007/BF00531835

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：483 / 491

页数：9

共 12 条

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

BERKES, I ;

PHILIPP, W .

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

[3] INVARIANCE-PRINCIPLES IN PROBABILITY FOR TRIANGULAR ARRAYS OF B-VALUED RANDOM VECTORS AND SOME APPLICATIONS [J].

DEACOSTA, A .

ANNALS OF PROBABILITY, 1982, 10 (02) :346-373

[4] INVARIANCE-PRINCIPLES FOR SUMS OF BANACH-SPACE VALUED RANDOM ELEMENTS AND EMPIRICAL PROCESSES [J].

DUDLEY, RM ;

PHILIPP, W .

ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1983, 62 (04) :509-552

[5]

DUDLEY RM, 1976, AARHUS LECTURE NOTES, V45

[6]

Kuelbs J., 1973, J MULTIVARIATE ANAL, V3, P161

[7]

PARTHASARATHY K, 1976, PROBABILITY MEASURES

[8] WEAK AND LP-INVARIANCE PRINCIPLES FOR SUMS OF B-VALUED RANDOM-VARIABLES [J].

PHILIPP, W .

ANNALS OF PROBABILITY, 1980, 8 (01) :68-82

[9]

SHORTT R, 1982, THESIS MIT CAMBRIDGE

[10]

Skorohod A. V., 1957, TEOR VEROYATNOST PRI, V2, P145

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