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Improved Bayes estimators and prediction for the Wilson-Hilferty distribution.

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In this paper, we revisit the Wilson-Hilferty distribution and presented its mathematical properties such as the r-th moments and reliability properties. The parameters estimators are discussed using objective reference Bayesian… Click to show full abstract

In this paper, we revisit the Wilson-Hilferty distribution and presented its mathematical properties such as the r-th moments and reliability properties. The parameters estimators are discussed using objective reference Bayesian analysis for both complete and censored data where the resulting marginal posterior intervals have accurate frequentist coverage. A simulation study is presented to compare the performance of the proposed estimators with the frequentist approach where it is observed a clear advantage for the Bayesian method. Finally, the proposed methodology is illustrated on three real datasets.

Keywords: bayes estimators; wilson hilferty; improved bayes; hilferty distribution

Journal Title: Anais da Academia Brasileira de Ciencias
Year Published: 2019

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