LIMIT-THEOREMS FOR SUMS OF WEAKLY DEPENDENT BANACH-SPACE VALUED RANDOM-VARIABLES

被引:55
作者
DEHLING, H
机构
来源
ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE | 1983年 / 63卷 / 03期
关键词
D O I
10.1007/BF00542537
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:393 / 432
页数:40
相关论文
共 25 条
[1]   APPROXIMATION THEOREMS FOR INDEPENDENT AND WEAKLY DEPENDENT RANDOM VECTORS [J].
BERKES, I ;
PHILIPP, W .
ANNALS OF PROBABILITY, 1979, 7 (01) :29-54
[2]  
BERKES I, 1974, UNPUB ALMOST SURE IN
[3]  
Billingsley P, 1968, CONVERGENCE PROBABIL
[4]  
CARTAN H, 1971, DIFFERENTIAL CALCULU
[5]  
Davydov Y., 1970, THEOR PROBAB APPL, V14, P487
[6]   ALMOST SURE INVARIANCE-PRINCIPLES FOR WEAKLY DEPENDENT VECTOR-VALUED RANDOM-VARIABLES [J].
DEHLING, H ;
PHILIPP, W .
ANNALS OF PROBABILITY, 1982, 10 (03) :689-701
[7]  
Doob J. L., 1953, STOCHASTIC PROCESSES, V101
[8]  
DUGUNDJI F, 1966, TOPOLOGY
[9]   INVARIANCE PRINCIPLE FOR LATTICES OF DEPENDENT RANDOM-VARIABLES [J].
EBERLEIN, E .
ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1979, 50 (02) :119-133
[10]  
FERNIQUE X, 1970, CR ACAD SCI A MATH, V270, P1698