| publication name | Stress-Strength Reliability Estimation for Exponentiated Generalized Inverse Weibull Distribution |
|---|---|
| Authors | M. M. Mohie El-Din, A. Sadek, and Sh. H. Elmeghawry |
| year | 2018 |
| keywords | Exponentiated generalized inverse Weibull distribution, Stress-strength reliability, Maximum likelihood estimation, Bayesian estimation, Importance sampling technique |
| journal | Journal of Statistics Applications & Probability |
| volume | Vol. 7 |
| issue | Not Available |
| pages | 127-136 |
| publisher | Natural Sciences Publishing Cor. |
| Local/International | International |
| Paper Link | http://naturalspublishing.com/files/published/511di3925a4v19.pdf |
| Full paper | download |
| Supplementary materials | Not Available |
Abstract
This paper is devoted to discuss the stress-strength reliability model R = Pr (Y < X) when X and Y have an exponentiated generalized inverse Weibull distribution (EGIW) with different parameters. The problem of stress-strength reliability is studied to obtain estimates of a component reliability function of EGIW distribution. Reliability for multi-component stress-strength model for EGIW distribution is also studied. Maximum likelihood estimation for stress-strength reliability of underlying distribution is performed. Bayesian estimator of R is obtained using importance sampling technique. A simulation study to investigate and compare the performance of each method of estimation is performed. Finally analysis of a real data set has also been presented for illustrative purposes.