E-Bayesian and hierarchical Bayesian estimation of reliability in multicomponent stress-strength model based on inverse Rayleigh distribution

Makhdoom, Iman; Shahrastani, Shahram Yaghoobzadeh; Pak, Abbas

doi:10.22034/jsmta.2023.3360

E-Bayesian and hierarchical Bayesian estimation of reliability in multicomponent stress-strength model based on inverse Rayleigh distribution

Document Type : Original Scientific Paper

Authors

Iman Makhdoom
Shahram Yaghoobzadeh Shahrastani
Abbas Pak

Department of Statistics‎, ‎Payame Noor University‎, ‎Tehran‎, ‎Iran

10.22034/jsmta.2023.3360

Abstract

This study focuses on estimating the reliability of a multicomponent stress-strength model using two Bayesian approaches‎: ‎E-Bayesian and hierarchical Bayesian‎. ‎This model follows Inverse Rayleigh distributions with distinct parameters‎. ‎Additionally‎, ‎the efficiency of the proposed methods is compared by employing Monte Carlo simulation and analyzing a data set.

Keywords