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Ass. Lect. Shaimaa Hamed Abd Allah Elmaghawry Mohamed Ramdan :: Publications: |
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| Title: | 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: | |
| Full paper | Shaimaa Hamed Abd Allah Elmaghawry Mohamed Ramdan_JSAP161017AG.pdf |
| 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. |
