Bayesian and non-Bayesian analysis with MCMC algorithm of stress-strength for a new two parameters lifetime model with applications
Source abstract
Abstract
A parallel system is one of the special redundant systems that industrial systems frequently use to increase reliability and prevent unexpected failures. In this paper, a new two-parameter model called the Poisson Rayleigh distribution (PRD) is studied. Some of its statistical properties are given. Particularly, we emphasize the study of the stress–strength (SS) reliability parameter, R = p(Y < X), when X and Y have a PRD. Maximum likelihood, maximum product spacing, and Bayesian strategies are utilized to estimate the parameters. Maximum likelihood, maximum product spacing, and Bayesian techniques for R are computed. To assess how each estimation method performs, a simulation study is conducted. In order to demonstrate the adaptability of the suggested model, its goodness of fit for the PRD comparison with other models is demonstrated by application to real datasets. Finally, the SS model for the PRD was applied with two applications of real data depicting the failure times for two types of electrical insulators and pertaining to customer wait times at two banks.
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Research context
OpenAlex topics: Statistical Distribution Estimation and Applications · Reliability and Maintenance Optimization · Probabilistic and Robust Engineering Design
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Quantitative Analysis, College of Business Administration, King Saud University 1 , P.O. Box 71115, Riyadh 11587, Saudi Arabia
Department of Statistics, Faculty of Business Administration, Delta University for Science and Technology 2 , Gamasa 11152, Egypt
Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU) 3 , Riyadh 11432, Saudi Arabia
Mathematics and Computer Science Department, Faculty of Science, Beni-Suef University 4 , Beni-Suef 62521, Egypt
Department of Basic Sciences, Higher Institute of Administrative Sciences, Belbeis 5 , AlSharkia, Egypt
Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II 6 , 39,00186 Roma, Italy
Near East University, Operational Research Center in Healthcare, Nicosia 7 , PC: 99138, TRNC Mersin 10, Türkiye
Department of Computer Science and Mathematics, Lebanese American University 8 , Beirut, Lebanon
Higher Institute for Computers & Information Technology 9 , ElShorouk, Cairo, Egypt
Funding
Deanship of Scientific Research, King Saud University
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