Estimating the Reliability Function of some Stress- Strength Models for the Generalized Inverted Kumaraswamy Distribution

Hakeem Hussain Hamad; Nada Sabah  Karam

doi:10.24996/ijs.2021.62.1.23

Authors

Hakeem Hussain Hamad Mathematical Department, College of Education, Mustanseriyah University, Baghdad, Iraq
Nada Sabah Karam Mathematical Department, College of Education, Mustanseriyah University, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2021.62.1.23

Keywords:

Reliability Function, Generalized Inverted Kumaraswamy Distribution (GIKD), Strength-Stress model, Estimation

Abstract

This paper discusses reliability of the stress-strength model. The reliability functions ð‘…1 and ð‘…2 were obtained for a component which has an independent strength and is exposed to two and three stresses, respectively. We used the generalized inverted Kumaraswamy distribution GIKD with unknown shape parameter as well as known shape and scale parameters. The parameters were estimated from the stress- strength models, while the reliabilities ð‘…1, ð‘…2 were estimated by three methods, namely the Maximum Likelihood, Least Square, and Regression.

A numerical simulation study a comparison between the three estimators by mean square error is performed. It is found that best estimator between the three estimators is Maximum likelihood estimators.