The Dp-metric space of set-valued random variables and its application to covariances

被引：0
|
作者：
Yang, Xuhua [1 ]
Li, Shoumei [1 ]
机构：
[1] Beijing Univ Technol, Coll Appl Sci, Beijing 100022, Peoples R China
来源：
INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL | 2005年 / 1卷 / 01期
关键词：
set-valued random variable; D-p-metric; convergence in D-p-metric; covariance;
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, we introduce the D-p-metric of set-valued random variables. We prove that the Dp-metric space of set-valued random variables is complete, and represent the equivalent propositions of convergence for set-valued random variables with respect to D-p-metric. Finally, we give several definitions of the variance, covariance and correlation coefficient of set-valued random variables by the D-p-metric, and discuss some useful results.
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页码：73 / 82
页数：10
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