Law of large numbers for uncertain random variables with different chance distributions

被引：21

作者：

Gao, Rong ^{[1
]}

Sheng, Yuhong ^{[2
]}

机构：

[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

[2] Xinjiang Univ, Coll Math & Syst Sci, Urumqi, Peoples R China

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2016年 / 31卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Uncertain variable; uncertain random variable; law of large numbers;

D O I：

10.3233/IFS-162187

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Chance theory is put forward as a tool to deal with a complex system including randomness and uncertainty. As a fundamental concept in chance theory, uncertain random variable is an extension of random variable and uncertain variable. This paper obtains a new law of large numbers for independent uncertain random variables but not necessarily identically distributed.

引用

页码：1227 / 1234

页数：8

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