LAWS OF LARGE NUMBERS UNDER DEPENDENCE ASSUMPTIONS

被引：8

作者：

BIRKEL, T

机构：

[1] W-4000 Düsseldorf 30

来源：

STATISTICS & PROBABILITY LETTERS | 1992年 / 14卷 / 05期

关键词：

STRONG LAWS OF LARGE NUMBERS; PAIRWISE WEAKLY DEPENDENT RANDOM VARIABLES; ASYMPTOTICALLY QUADRANT INDEPENDENT RANDOM VARIABLES;

D O I：

10.1016/0167-7152(92)90096-N

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 [统计学]; 070103 [概率论与数理统计]; 0714 [统计学];

摘要：

For sequences of pairwise weakly dependent random variables we give moment conditions which ensure the strong law of large numbers. Our results imply strong laws for mixing sequences as well as for sequences of positively dependent random variables.

引用

页码：355 / 362

页数：8

共 6 条

[1]

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[2]

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[3]

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[4]

LAWS OF LARGE NUMBERS FOR PAIRWISE INDEPENDENT UNIFORMLY INTEGRABLE RANDOM-VARIABLES [J].

LANDERS, D ;

ROGGE, L .

MATHEMATISCHE NACHRICHTEN, 1987, 130 :189-192

[5]

Newman C.M., 1984, IMS STATIST LECT NOT, P127, DOI DOI 10.1214/1NMS/1215465639

[6]

INVARIANCE-PRINCIPLES FOR MIXING SEQUENCES OF RANDOM-VARIABLES [J].

PELIGRAD, M .

ANNALS OF PROBABILITY, 1982, 10 (04) :968-981

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