Varentropy of inactivity time of a random variable and its related applications

被引：7
|
作者：
Raqab, Mohammad Z. [1 ]
Bayoud, Husam A. [2 ]
Qiu, Guoxin [3 ,4 ]
机构：
[1] Univ Jordan, Dept Math, Amman 11942, Jordan
[2] Fahad Bin Sultan Univ, Coll Sci & Humanities, Tabuk 71454, Saudi Arabia
[3] Xinhua Univ Anhui, Sch Business, Hefei 230088, Peoples R China
[4] Univ Sci & Technol China, Sch Management, Hefei 230026, Peoples R China
来源：
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION | 2022年 / 39卷 / 01期
关键词：
entropy; inactivity time; past entropy; reversed hazard rate; varentropy; REVERSED HAZARD RATE; ENTROPY; INFORMATION; VARIANCE;
D O I：
10.1093/imamci/dnab033
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The information content of a random variable is of importance in the field of information theory. The mean and the variance of the information content of a random variable are called entropy and varentropy of this random variable, respectively. The varentropy of the inactivity time of a random variable is studied and termed by past varentropy in this paper. Reliability properties associated with the past varentropy and the reversed hazard rate function are discussed. Lower and upper bounds for the past varentropy are provided. The varentropy is applied for the proportional reversed hazard rate model. Also, asymptotic distribution for the information content of the inactivity time of a random variable is provided based on past entropy and varentropy.
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页码：132 / 154
页数：23
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