Single Stage Shrinkage Estimation Methods for Reliability Function of Generalized Exponential Distribution Using Simulation

Isaam Kamel Ahmed; Taha Anwar Taha; Abbas Najim Salman

doi:10.24996/ijs.2024.65.3.29

Authors

Isaam Kamel Ahmed Department of Mathematics, College of Sciences, University of Anbar, Anbar, Iraq https://orcid.org/0000-0003-2164-0579
Taha Anwar Taha Directorate-General For Education of Anbar, Ministry of Education, Anbar, Iraq
Abbas Najim Salman Department of Mathematics, College of Education for Pure Science, University of Bagdad, Bagdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2024.65.3.29

Keywords:

Generalized exponential distribution (GED), Maximum likelihood, Unbiased estimation, Moment estimation, Shrinkage estimation

Abstract

The reliability in stress–strength model (s–s) is estimated in this article when the system has parallel and series components subject to one of the stresses and it follows generalized exponential distribution by taking via different estimation methods, namely the maximum likelihood estimation, unbiased estimation, moment estimation and shrinkage estimation. Also, the Mont Carlo method is used to compare these methods under mean squared error.