Gompertz Fréchet stress-strength Reliability Estimation

Authors

  • Sarah A. Jabr Mathematical Department / College Of Education / AL-Mustanseriya University
  • Nada S. Karam Mathematical Department, College Of Education, AL-Mustanseriya University, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2021.62.12.27

Keywords:

Reliability, Stress- Strength, Gompertz Fréchet Distribution, Maximum Likelihood Estimator, Least square Estimator, Weighted Least square Estimator, Regression Estimator, Ranked set sampling estimator

Abstract

In this paper, the reliability of the stress-strength model is derived for probability P(Y<X) of a component having its strength X exposed to one independent stress Y, when X and Y are following Gompertz Fréchet distribution with unknown shape parameters and known parameters . Different methods were used to estimate reliability R and Gompertz Fréchet distribution parameters, which are maximum likelihood, least square, weighted least square, regression, and ranked set sampling. Also, a comparison of these estimators was made by a simulation study based on mean square error (MSE) criteria. The comparison confirms that the performance of the maximum likelihood estimator is better than that of the other estimators.

Downloads

Download data is not yet available.

Downloads

Published

2021-12-30

Issue

Section

Mathematics

How to Cite

Gompertz Fréchet stress-strength Reliability Estimation. (2021). Iraqi Journal of Science, 62(12), 4892-4902. https://doi.org/10.24996/ijs.2021.62.12.27

Similar Articles

1-10 of 1128

You may also start an advanced similarity search for this article.