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

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.

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Published

2024-03-29

Issue

Section

Mathematics

How to Cite

Single Stage Shrinkage Estimation Methods for Reliability Function of Generalized Exponential Distribution Using Simulation. (2024). Iraqi Journal of Science, 65(3), 1531-1540. https://doi.org/10.24996/ijs.2024.65.3.29

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