The New Weibull-Pareto Distribution Stress-Strength Reliability for P(T

Ali Mutair Attia, Department of Mathematics, College of Education, AL-Mustanseriyah University, Baghdad-IraqFollow
Nada Sabah Karam, Department of Mathematics, College of Education, AL-Mustanseriyah University, Baghdad-IraqFollow

Document Type

Article

Abstract

In this paper, the reliability formula of the stress-strength model is derived for probability of a component having strength X falling between two stresses T and Z, based on The New Weibull-Pareto Distribution with unknown parameter and known and common parameters and . Four methods for estimating the The New Weibull-Pareto parameters are discussed which are the Maximum Likelihood, Method of Moment, Least Square Method and Weighted Least Square Method, and the comparison between these estimations based on a simulation study by the mean square error criteria for each of the small, medium and large samples. The most important conclusion is that this comparison confirms that the performance of the maximum likelihood estimator works better for all experiments studied.

Keywords

stress-strength Reliability, Probability P(T, New Weibull-Pareto Distribution, Estimation Method

Recommended Citation

Attia, Ali Mutair and Karam, Nada Sabah (2021) "The New Weibull-Pareto Distribution Stress-Strength Reliability for P(T," Al-Qadisiyah Journal of Pure Science: Vol. 26 : No. 2 , Article 4.
Available at: https://doi.org/10.29350/qjps.2021.26.2.1259