Excess lifetime extropy for a mixed system at the system level

Author:

Kayid Mohamed1,Alshehri Mashael A.2

Affiliation:

1. Department of Statistics and Operations Research, College of Science, King Saud University, Riyadh 11451, Saudi Arabia

2. Department of Quantitative Analysis, College of Business Administration, King Saud University, Riyadh 1362, Saudi Arabia

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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