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On dynamic weighted extropy

Journal of Computational and Applied Mathematics, 2021
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E.I. Abdul Sathar, R. Dhanya Nair
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Past Extropy of 𝑘-Records

Stochastics and Quality Control, 2020
AbstractRecently, A. S. Krishnan, S. M. Sunoj and N. U. Nair [Some reliability properties of extropy for residual and past lifetime random variables, J. Korean Stat. Soc. 2020, 10.1007/s42952-019-00023-x] introduced past extropy for measuring uncertainty contained in past lifetime of random variables.
Sathar, E. I. Abdul, Jose, Jitto
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ON CUMULATIVE RESIDUAL EXTROPY

Probability in the Engineering and Informational Sciences, 2019
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.
Jahanshahi, S. M. A.   +2 more
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On Dynamic Failure Extropy

Journal of the Indian Society for Probability and Statistics, 2020
In this paper we propose a new measure of information called failure extropy and its dynamic version, the dynamic failure extropy. Some of the properties of the proposed measure including its application are studied. We also discuss the stochastic ordering of failure extropy and dynamic failure extropy and certain results based on it.
R. Dhanya Nair, E. I. Abdul Sathar
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Weighted extropies and past extropy of order statistics and k -record values

Communications in Statistics - Theory and Methods, 2021
In addition to entropy, extropy - the complementary dual of entropy has also gained importance as a measure of information in many areas.
Shilpa Bansal, Nitin Gupta
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ON EXTROPY PROPERTIES OF MIXED SYSTEMS

Probability in the Engineering and Informational Sciences, 2018
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 ...
Qiu, Guoxin, Wang, Lechen, Wang, Xingyu
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On dynamic survival extropy

Communications in Statistics - Theory and Methods, 2019
Recently, Lad et al. proposed an alternative measure of uncertainty of a random variable called extropy.
E. I. Abdul Sathar, Dhanya Nair R.
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On negative cumulative extropy with applications

Communications in Statistics - Theory and Methods, 2020
Recently, an alternative measure of uncertainty termed by extropy was proposed by Lad et al. Accordingly, a cumulative residual extropy is also introduced by replacing the survival function in plac...
Saeid Tahmasebi, Abdolsaeed Toomaj
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On the estimation of extropy

Journal of Nonparametric Statistics, 2018
Recently, Lad, Sanfilippo, and Agro [(2015), ‘Extropy: Complementary Dual of Entropy’, Statistical Science, 30, 40–58.] showed the measure of entropy has a complementary dual, which is termed extro...
Hadi Alizadeh Noughabi   +1 more
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Belief eXtropy: Measure uncertainty from negation

Communications in Statistics - Theory and Methods, 2021
As the duality and complement of the Shannon entropy, the eXtropy is proposed in this years. The eXtropy also can be explained from the perspective of negation, which can be seen as an entropy with...
Qianli Zhou, Yong Deng
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