Shahid Chamran University of AhvazJournal of Advanced Mathematical Modeling2251-808811320210923Estimation of Multicomponent Stress-strength Reliability Based on Power Topp-Leone DistributionEstimation of Multicomponent Stress-strength Reliability Based on Power Topp-Leone Distribution5585721699610.22055/jamm.2021.35429.1868FAHosseinPasha-ZanoosiDepartment of Statistics, University of Mazandaran, Babolsar, IranAhmadPourdarvishDepartment of Statistics, University of Mazandaran, Babolsar, IranAkbarAsgharzadehDepartment of Statistics, University of Mazandaran, Babolsar, Iran0000-0001-6714-4533Journal Article20201016In this study, we consider the statistical inference of multicomponent stress-strength reliability when stress and strength variables follow power Topp-Leone distributions. This system has independent and identically distributed strength components and each component is exposed to a common stress and is reliable if at least out of strength variables exceed the stress variable. The reliability of the system is estimated in view of classical and Bayesian in two cases. In the first case, we suppose that the first shape parameters are same and second shape parameters are different and in the second case, it is assumed that the common first shape parameter is known. Finally, a simulation study is performed to compare the performances of the estimators and one data set is presented for the application of methods.In this study, we consider the statistical inference of multicomponent stress-strength reliability when stress and strength variables follow power Topp-Leone distributions. This system has independent and identically distributed strength components and each component is exposed to a common stress and is reliable if at least out of strength variables exceed the stress variable. The reliability of the system is estimated in view of classical and Bayesian in two cases. In the first case, we suppose that the first shape parameters are same and second shape parameters are different and in the second case, it is assumed that the common first shape parameter is known. Finally, a simulation study is performed to compare the performances of the estimators and one data set is presented for the application of methods.https://jamm.scu.ac.ir/article_16996_c9f78700c692406762c48de0693fb304.pdf