Employ Stress-Strength Reliability Technique in Case the Inverse Chen Distribution

Eman Ahmed Abdulateef; Abbas Najim Salman; Hadeel Hussein Luaibi

doi:10.24996/ijs.2023.64.10.25

Authors

Eman Ahmed Abdulateef Department of Mathematics, College of Education for Pure Sciences (Ibn Al – Haitham), Baghdad University, Baghdad, Iraq
Abbas Najim Salman Department of Mathematics, College of Education for Pure Sciences (Ibn Al – Haitham), Baghdad University, Baghdad, Iraq
Hadeel Hussein Luaibi Department of Mathematics, College of Education for Pure Sciences (Ibn Al – Haitham), Baghdad University, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2023.64.10.25

Keywords:

Inverse Chen distribution, Stress–Strength reliability model, Maximum likelihood estimator, Percentile estimator, Shrinkage estimator, Mean squared error

Abstract

This paper uses classical and shrinkage estimators to estimate the system reliability (R) in the stress-strength model when the stress and strength follow the Inverse Chen distribution (ICD). The comparisons of the proposed estimators have been presented using a simulation that depends on the mean squared error (MSE) criteria.