Estimating Reliability under Linex Loss of Weibull Model using Bayesian Lindley Approximation |
Author(s): |
| Uma Srivastava , DDU Gorakhpur University; Parul Yadav, DDU Gorakhpur University |
Keywords: |
| Linex Loss Function, Maximum Likelihood Estimation, Bayesian Estimation, Reliability, Lindley Approximation, Weibull Distribution |
Abstract |
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This paper describes the unknown parameter, reliability and hazard function of the Weibull distribution-based on failure censored data. The estimation of parameter of the Weibull distribution is considered with a Natural Conjugate Gamma Prior and Linex Loss Function. Lindley's approximation is used to obtain Approximate Bayes estimator of Reliability function. The result from Bayesian method is used to compare with Bayes and Maximum likelihood estimate (MLE) methods. The simulation shows that the results from Bayes is Robust for Approximate Bayesian method than MLE in terms of mean square error (MSE). |
Other Details |
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Paper ID: IJSRDV12I10017 Published in: Volume : 12, Issue : 1 Publication Date: 01/04/2024 Page(s): 37-40 |
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