Comparison of Some of Estimation methods of Stress-Strength Model: R = P(Y < X < Z)

Authors

Sairan Hamza Raheem, IT Department, College of Computing and Information Technology, University of Garmian.Follow
Bayda Atiya Kalaf, Mathematics Department, College of Education (Ibn Al – Haitham), University of Baghdad, Baghdad, Iraq.Follow
Abbas Najim Salman, Mathematics Department, College of Education (Ibn Al – Haitham), University of Baghdad, Baghdad, Iraq.Follow

Abstract

In this study, the stress-strength model R = P(Y < X < Z) is discussed as an important parts of reliability system by assuming that the random variables follow Invers Rayleigh Distribution. Some traditional estimation methods are used to estimate the parameters namely; Maximum Likelihood, Moment method, and Uniformly Minimum Variance Unbiased estimator and Shrinkage estimator using three types of shrinkage weight factors. As well as, Monte Carlo simulation are used to compare the estimation methods based on mean squared error criteria.

Keywords

Stress-Strength Model, Inverse Rayleigh Distribution, Least Square Estimator, Maximum Likelihood Method Estimator, Moment method, Uniformly Minimum Variance Unbiased Method, Shrinkage Methods.

Article Type

Supplemental Issue

How to Cite this Article

Raheem, Sairan Hamza; Kalaf, Bayda Atiya; and Salman, Abbas Najim (2021) "Comparison of Some of Estimation methods of Stress-Strength Model: R = P(Y < X < Z)," Baghdad Science Journal: Vol. 18: Iss. 2, Article 30.
DOI: https://doi.org/10.21123/bsj.2021.18.2(Suppl.).1103