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Research Article | Open Access

Excess lifetime extropy for a mixed system at the system level

Mohamed Kayid1( ), Mashael A. Alshehri2
Department of Statistics and Operations Research, College of Science, King Saud University, Riyadh 11451, Saudi Arabia
Department of Quantitative Analysis, College of Business Administration, King Saud University, Riyadh 1362, Saudi Arabia
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Abstract

We consider a mixed system with n components, where at time t , all system components are functioning. We then use the system signature to evaluate the extropy of the excess lifetime of the mixed system, which is a useful criterion for predicting the lifetime of the system. We give several results including expressions, bounds, and order conditions for the above measure. Finally, based on the relative extropy, we establish a criterion for selecting a preferred system that is closely related to the parallel system.

Keywords

coherent systemresidual extropy entropyShannon entropysystem signature
CLC number: 94A15, 62B10, 60E15

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AIMS Mathematics
Volume 8 Issue 7,
July 2023
Pages 16137-16150
DOI: 10.3934/math.2023824

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Cite this article:
Kayid M, Alshehri MA. Excess lifetime extropy for a mixed system at the system level. AIMS Mathematics, 2023, 8(7): 16137-16150. https://doi.org/10.3934/math.2023824

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Received: 11 February 2023
Revised: 07 April 2023
Accepted: 17 April 2023
Published: 15 July 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)