Excess lifetime extropy for a mixed system at the system level-Reference-Cited by-同舟云学术

Excess lifetime extropy for a mixed system at the system level

Published:2023 Issue:7 Volume:8 Page:16137-16150
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

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

Reference19 articles.

1. N. Ebrahimi, S. N. U. A. Kirmani, Some results on ordering of survival functions through uncertainty, Stat. Probabil. Lett., 29 (1996), 167–176. https://doi.org/10.1016/0167-7152(95)00170-0

2. N. Ebrahimi, F. Pellerey, New partial ordering of survival functions based on the notion of uncertainty, J. Appl. Probabil., 32 (1995), 202–211. https://doi.org/10.2307/3214930

3. S. Kayal, On a generalized entropy of mixed systems, J. Stat. Manag. Syst., 22 (2019), 1183–1198. https://doi.org/10.1080/09720510.2019.1580899

4. M. Kayid, M. A. Alshehri, Tsallis entropy of a used reliability system at the system level, Entropy, 25 (2023), 1–11. https://doi.org/10.3390/e25040550

5. B. E. Khaledi, M. Shaked, Ordering conditional lifetimes of coherent systems, J. Stat. Plan. Infer., 137 (2007), 1173–1184. https://doi.org/10.1016/j.jspi.2006.01.012

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Excess Lifetime Extropy of Order Statistics;Axioms;2023-10-31