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Estimation of Parameters of Alpha Power Inverse Weibull Distribution Under Progressive Type-II Censoring |
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PP: 81-87 |
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doi:10.18576/jsapl/060204
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Author(s) |
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Dina A. Ramadan,
Walaa Magdy,
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Abstract |
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| In this paper, the inference about the parameters of a three-parameters Alpha power inverse Weibull (APIW) distribution based on progressively type-II censored sample is studied. The maximum likelihood estimates (MLEs) and Bayesian estimates are obtained as point estimations for these parameters. Approximate confidence intervals (ACIs) for the unknown parameters. Moreover Bayesian estimates are obtained for symmetric and asymmetric loss functions such as squared error, LINEX loss functions and general entropy loss function. Gibbs within Metropolis–Hasting samplers procedure is applied for using Markov chain Monte Carlo (MCMC) technique to obtain the Bayes estimates of the unknown parameters and the corresponding credible intervals (CRIs). Finally, a real data set, which represents the failure of some components, is analyzed to illustrate the proposed methods and explicate the precision of the estimators.
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