Exploration of the Weibull Distribution Under the Bayesian Paradigm

Exploration of the Weibull Distribution Under the Bayesian Paradigm

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The focus of this book is the mixtures of distributions: mixture of two Weibull distributions, mixture of Frechet and Weibull distributions. The elegant closed-form Bayes estimators are derived for each of these mixtures assuming informative (Inverted-Gamma, Inverted-Chi Squared, Gumbel Type II and Levy) and non-informative (Uniform and Jeffreys) priors. Also, an extensive simulation study is conducted to highlight some interesting properties and comparison of Bayes estimates under Type-I censored mixture data. Some real life examples are also presented. Moreover, we have developed the limitin...