Estimate Stress-Strength Reliability Model Using Rayleigh and Half-Normal Distribution.

Autor: Alamri OA; Department of Statistics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi Arabia., El-Raouf MMA; Basic and Applied Science Institute, Arab Academy for Science, Technology and Maritime Transport (AASTMT), Alexandia, Egypt., Ismail EA; College of International Transport and Logistics, Arab Academy for Science, Technology and Maritime Transport, Smart Village Campus, Cairo, Egypt., Almaspoor Z; Department of Statistics, Yazd University, P.O. Box 89175-741, Yazd, Iran., Alsaedi BSO; Department of Statistics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi Arabia., Khosa SK; Department of Statistics, Bahauddin Zakariya University, Multan, Pakistan., Yusuf M; Department of Mathematics, Faculty of science, Helwan University, Cairo, Egypt.
Jazyk: angličtina
Zdroj: Computational intelligence and neuroscience [Comput Intell Neurosci] 2021 Jul 05; Vol. 2021, pp. 7653581. Date of Electronic Publication: 2021 Jul 05 (Print Publication: 2021).
DOI: 10.1155/2021/7653581
Abstrakt: In the field of life testing, it is very important to study the reliability of any component under testing. One of the most important subjects is the "stress-strength reliability" term which always refers to the quantity P  ( X > Y ) in any statistical literature. It resamples a system with random strength ( X ) that is subjected to a random strength ( Y ) such that a system fails in case the stress exceeds the strength. In this study, we consider stress-strength reliability where the strength ( X ) follows Rayleigh-half-normal distribution and stress ( Y 1 , Y 2 , Y 3 , and Y 4 ) follows Rayleigh-half-normal distribution, exponential distribution, Rayleigh distribution, and half-normal distribution, respectively. This effort comprises determining the general formulations of the reliabilities of a system. Also, the maximum likelihood estimation approach and method of moment (MOM) will be utilized to estimate the parameters. Finally, reliability has been attained utilizing various values of stress and strength parameters.
Competing Interests: The authors declare that they have no conflicts of interest.
(Copyright © 2021 Osama Abdulaziz Alamri et al.)
Databáze: MEDLINE