Bayesian Estimation for Exponentiated Gamma Distribution under Progressive Type-II Censoring Using Different Approximation Techniques

In this paper, we proposed the Bayesian estimation of the parameter and reliability function in exponentiated gamma distribution under progressive type-II censored samples. The Bayes estimates of the parameter and reliability function are derived under the assumption of independent gamma prior by three different methods namely Lindley's approximation, Tierney-Kadane and Markov Chain Monte Carlo methods. Further, the comparison of Bayes estimators with corresponding maximum likelihood estimators have been done through simulation study. Finally, a real data set has been used to illustrate the above study in realistic phenomenon.

並列關鍵字

Exponentiated Gamma distribution ； Prgressive Censoring ； Lindley's approximation ； T-K approximation ； MCMC technique

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Bayesian Estimation for Exponentiated Gamma Distribution under Progressive Type-II Censoring Using Different Approximation Techniques

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