Prediction and reconstruction of future and missing unobservable modified Weibull lifetime based on generalized order statistics | ||
| Journal of the Egyptian Mathematical Society | ||
| Volume 24, Issue 2, 2016, Pages 309-318 PDF (424.06 K) | ||
| DOI: 10.1016/j.joems.2015.04.002 | ||
| Author | ||
| Amany E. Aly1, 2 | ||
| 1Department of Mathematics, Faculty of Science, Taibah University, Madinah, Saudi Arabia | ||
| 2Permanent address: Department of Mathematics, Faculty of Science, Helwan University, Ain Helwan, Cairo, Egypt | ||
| Abstract | ||
| When a system consisting of independent components of the same type, some appro- priate actions may be done as soon as a portion of them have failed. It is, therefore, important to be able to predict later failure times from earlier ones. One of the well-known failure distributions commonly used to model component life, is the modified Weibull distribution ( MWD ). In this paper, two pivotal quantities are proposed to construct prediction intervals for future unobservable lifetimes based on generalized order statistics (gos) from MWD . Moreover, a pivotal quantity is developed to reconstruct missing observations at the beginning of experiment. Furthermore, Monte Carlo simula- tion studies are conducted and numerical computations are carried out to investigate the efficiency of presented results. Finally, two illustrative examples for real data sets are analyzed | ||
| Keywords | ||
| Modified Weibull distribution; Generalized order statistics; Pivotal quantities; Predicative interval; Probability coverage; Monte Carlo Simulation | ||
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