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ON EXTROPY PROPERTIES OF MIXED SYSTEMS

Published online by Cambridge University Press:  03 August 2018

Guoxin Qiu ,
Lechen Wang  and
Xingyu Wang
Guoxin Qiu
Affiliation:
Department of Business Administration Xinhua University of Anhui Hefei 230088, China and Department of Statistics and Finance, School of Management School of Business University of Science and Technology of China Hefei 230026, China E-mail: qiugx02@ustc.edu.cn
Lechen Wang
Affiliation:
Department of Statistics and Finance, School of Management School of Business University of Science and Technology of China Hefei 230026, China E-mail: lcwang@mail.ustc.edu.cn
Xingyu Wang
Affiliation:
Department of Statistics and Finance, School of Management School of Business University of Science and Technology of China Hefei 230026, China E-mail: ustcwxy@mail.ustc.edu.cn
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Abstract

An expression of the extropy of a mixed system's lifetime was given firstly. Based on this expression, two mixed systems with same signature but with different components were compared. It was shown that the extropy of lifetime of a mixed system equals to that of its dual system if the lifetimes of the components have symmetric probability density function. Moreover, some bounds of the extropy of lifetimes of mixed systems were obtained and the concept of Jensen–extropy (JE) divergence of mixed systems was proposed. The JE divergence is non-negative and it can be used as an alternative information criteria for comparing mixed systems with homogeneous components. To illustrate the applications of JE divergence, some examples are addressed at the end of this paper.

Keywords

extropymixed systemsignaturestochastic orderssymmetric distribution
Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 33 , Issue 3 , July 2019 , pp. 471 - 486
Copyright
Copyright © Cambridge University Press 2018 

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