Varentropy of inactivity time of a random variable and its related applications-Reference-Cited by-同舟云学术

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

Published:2021-12-23 Issue: Volume: Page:
ISSN:0265-0754
Container-title:IMA Journal of Mathematical Control and Information
language:en
Short-container-title:

Author:

Raqab Mohammad Z¹,Bayoud Husam A²,Qiu Guoxin³⁴

Affiliation:

1. Department of Mathematics, The University of Jordan, Amman 11942, Jordan

2. College of Sciences and Humanities, Fahad Bin Sultan University, Tabuk 71454, Saudi Arabia

3. School of Business, Xinhua University of Anhui, Hefei 230088, China

4. School of Management, University of Science and Technology of China, Hefei 230026, China

Abstract

Abstract 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.

Funder

National Nature Science Foundation of China

Anhui Provincial Natural Science Foundation

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics,Control and Optimization,Control and Systems Engineering

Link

https://academic.oup.com/imamci/advance-article-pdf/doi/10.1093/imamci/dnab033/41891434/dnab033.pdf

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