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ON CUMULATIVE RESIDUAL EXTROPY

Published online by Cambridge University Press:  17 May 2019

S. M. A. Jahanshahi ,
H. Zarei  and
A. H. Khammar
S. M. A. Jahanshahi
Affiliation:
Department of Statistics, University of Sistan and Baluchestan, Zahedan, Iran E-mail: mjahan@math.usb.ac.ir
H. Zarei
Affiliation:
Department of Statistics, University of Sistan and Baluchestan, Zahedan, Iran E-mail: mjahan@math.usb.ac.ir
A. H. Khammar
Affiliation:
Department of Statistics, University of Birjand, Iran
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Abstract

Recently, an alternative measure of uncertainty called extropy is proposed by Lad et al. [12]. The extropy is a dual of entropy which has been considered by researchers. In this article, we introduce an alternative measure of uncertainty of random variable which we call it cumulative residual extropy. This measure is based on the cumulative distribution function F. Some properties of the proposed measure, such as its estimation and applications, are studied. Finally, some numerical examples for illustrating the theory are included.

Keywords

cumulative residual extropyestimationGini indexindependenceproportional hazard modelrisk measursstop-loss transformstochastic orders
Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 34 , Issue 4 , October 2020 , pp. 605 - 625
Copyright
Copyright © Cambridge University Press 2019

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