Negative Dependence for Fuzzy Random Variables: Basic Definitions and Some Limit Theorems

被引：2

作者：

Ahmadzade, H. ^{[1
]}

Amini, M. ^{[1
]}

Taheri, S. M. ^{[2
]}

Bozorgnia, A. ^{[1
,3
]}

机构：

[1] Ferdowsi Univ Mashhad, Fac Math Sci, Dept Stat, Mashhad 91775, Iran

[2] Univ Tehran, Coll Engn, Fac Engn Sci, Tehran, Iran

[3] Khayyam Univ, Dept Stat, Mashhad, Iran

来源：

FILOMAT | 2016年 / 30卷 / 09期

关键词：

Fuzzy random variable; negative dependence; law of large numbers; convergence in probability; almost surely convergence; GAUSSIAN RANDOM-VARIABLES; LARGE NUMBERS; WEIGHTED SUMS; RANDOM SETS; CONVERGENCE THEOREMS; STRONG LAW; WEAK LAWS; SEQUENCES;

D O I：

10.2298/FIL1609535A

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The concept of negative dependence for fuzzy random variables is introduced. The basic properties of such random variables are investigated. Some results on weak and strong convergence for sums and weighted sums of pairwise negatively dependent fuzzy random variables are derived. As a direct extension of classical methods, some limit theorems are established based on the concept of variance and covariance.

引用

页码：2535 / 2549

页数：15

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