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<p>In this article we propose E-Bayes and hierarchical Bayes (H-Bayes) estimators of the parameters of the exponentiated Rayleigh distribution under adaptive progressive hybrid Type-II censoring with binomial removals (APHT-II CBRs). The prior predictive distribution has been proposed as a method for the selection of hyperparameters value of the priors. The proposed estimators have been derived under scaled squared error loss function (S-SELF). The proposed estimators have been compared within the other obtained estimators (Bayes, E-Bayes and H-Bayes) estimators through their respective simulated risks. The applicability of the proposed estimators are verified via real data set (from medical).</p>

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E-Bayesian and hierarchical Bayesian inference of exponentiated lifetime distribution under adaptive progressively censored data with binomial removals

  • 期刊论文

  • 发表日期：

    2025年10月28日

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  • Satya Prakash Mishra,
  • Manoj Kumar,
  • Sanjay Kumar Singh,
  • Ranjan Kumar Sahoo

摘要

In this article we propose E-Bayes and hierarchical Bayes (H-Bayes) estimators of the parameters of the exponentiated Rayleigh distribution under adaptive progressive hybrid Type-II censoring with binomial removals (APHT-II CBRs). The prior predictive distribution has been proposed as a method for the selection of hyperparameters value of the priors. The proposed estimators have been derived under scaled squared error loss function (S-SELF). The proposed estimators have been compared within the other obtained estimators (Bayes, E-Bayes and H-Bayes) estimators through their respective simulated risks. The applicability of the proposed estimators are verified via real data set (from medical).