Strong laws of large numbers for arrays of rowwise independent random compact sets and fuzzy random sets

被引：17

作者：

Fu, Ke-Ang ^{[1
]}

Zhang, Li-Xin ^{[1
]}

机构：

[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China

来源：

FUZZY SETS AND SYSTEMS | 2008年 / 159卷 / 24期

基金：

中国国家自然科学基金;

关键词：

Strong laws of large numbers (SLLNs); Random compact set; Fuzzy random set; Stochastically domination; Compact uniform integrability (CUI);

D O I：

10.1016/j.fss.2008.06.012

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper we obtain some strong laws of large numbers (SLLNs) for arrays of rowwise independent (not necessary identically distributed) random compact sets and fuzzy random sets whose underlying spaces are separable Banach spaces. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：3360 / 3368

页数：9

共 30 条

[1]

[Anonymous], 1975, RANDOM SET INTEGRAL

[2]

[Anonymous], 1974, STOCHASTIC GEOMETRY

[3] STRONG LAW OF LARGE NUMBERS FOR RANDOM COMPACT SETS [J].

ARTSTEIN, Z ;

VITALE, RA .

ANNALS OF PROBABILITY, 1975, 3 (05) :879-882

[4] INTEGRALS OF SET-VALUED FUNCTIONS [J].

AUMANN, RJ .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1965, 12 (01) :1-&

[5]

Billingsley P., 1968, Convergence of probability measures

[6] A generalized strong law of large numbers [J].

Colubi, A ;

López-Díaz, M ;

Domínguez-Menchero, JS ;

Gil, MA .

PROBABILITY THEORY AND RELATED FIELDS, 1999, 114 (03) :401-417

[7]

DEBREU G, 1952, P 5 BERK S MATH STAT, V2, P351

[8]

GUAN L, 2004, INT J UNCERTAIN FUZZ, V12, P811

[9] INTEGRALS, CONDITIONAL EXPECTATIONS, AND MARTINGALES OF MULTIVALUED FUNCTIONS [J].

HIAI, F ;

UMEGAKI, H .

JOURNAL OF MULTIVARIATE ANALYSIS, 1977, 7 (01) :149-182

[10] STRONG LAWS OF LARGE NUMBERS FOR ARRAYS OF ROWWISE INDEPENDENT RANDOM-VARIABLES [J].

HU, TC ;

MORICZ, F ;

TAYLOR, RL .

ACTA MATHEMATICA HUNGARICA, 1989, 54 (1-2) :153-162

← 1 2 3 →