On shrinkage estimation for R (s, k) in case of exponentiated pareto distribution

• Published in: Ibn Al-Haitham Journal for Pure and Applied Sciences Vol. 32; no. 1; pp. 147 - 156
• Main Authors: Abd al-Latif, Iman Ahmad, Salman, Abbas Najm
• Format: Journal Article
• Language: English
• Published: Baghdad, Iraq University of Baghdad, College of Education for Pure Science / Ibn al-Haitham 2019; University of Baghdad
• Subjects: Exponentiated Pareto Distribution (EPD), Reliability of multi-component Stress – Strength models R(s,k), Maximum likelihood estimator (MLE), , Shrinkage estimator and mean squared error (MSE); الأس; الرياضيات; نظرية التقدير
• ISSN: 1609-4042; 2521-3407
• DOI: 10.30526/32.1.1825

This paper concerns with deriving and estimating the reliability of the multicomponent system in stress-strength model r(s,k), when the stress and strength are identical independent distribution (iid), follows two parameters exponentiated pareto distribution(EPD) with the unknown shape and known scale parameters. shrinkage estimation method including maximum likelihood estimator (MLE), has been considered. comparisons among the proposed estimators were made depending on simulation based on mean squared error (MSE) criteria.