Estimations from the exponentiated rayleigh distribution based on generalized Type-II hybrid censored data |
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Authors: | M.A.W. Mahmoud M.G.M. Ghazal |
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Affiliation: | 1. Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City, Cairo 11884, Egypt;2. Mathematics Department, Faculty of Science, Minia University, El-Minia, Egypt |
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Abstract: | In this article, unknown parameters of exponentiated Rayleigh distribution based on generalized Type II Hybrid censored data, survival function, failure rate function and coefficient of variation are derived by applying the maximum likelihood, Bayes and percentile bootstrap methods. Approximate confidence intervals for the unknown parameters, survival function, failure rate function and coefficient of variation are obtained. We study Bayes estimates under gamma priors distributions depending on symmetric and asymmetric loss functions via the Gibbs within Metropolis-Hasting samplers procedure. Finally, the proposed methods can be understood through illustrating the results of the real data analysis. |
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Keywords: | Exponentiated Rayleigh distribution Hybrid censored data Maximum likelihood estimators Confidence intervals Bootstrap method Symmetric and asymmetric loss functions 62F10 62F15 62N01 62N02 |
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