TY - JOUR ID - 16996 TI - Estimation of Multicomponent Stress-strength Reliability Based on Power Topp-Leone Distribution JO - Journal of Advanced Mathematical Modeling JA - JAMM LA - en SN - 2251-8088 AU - Pasha-Zanoosi, Hossein AU - pourdarvish, Ahmad AU - Asgharzadeh, Akbar AD - Department of Statistics, University of Mazandaran, Babolsar, Iran Y1 - 2021 PY - 2021 VL - 11 IS - 3 SP - 558 EP - 572 KW - Multicomponent stress-strength reliability KW - Power Topp-Leone distribution KW - Bayesian estimation DO - 10.22055/jamm.2021.35429.1868 N2 - 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. UR - https://jamm.scu.ac.ir/article_16996.html L1 - https://jamm.scu.ac.ir/article_16996_c9f78700c692406762c48de0693fb304.pdf ER -