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Bayesian inference: Weibull Poisson model for censored data using the expectation–maximization algorithm and its application to bladder cancer data
Journal of Applied Statistics ( IF 1.2 ) Pub Date : 2020-11-12 , DOI: 10.1080/02664763.2020.1845626
Anurag Pathak 1 , Manoj Kumar 1 , Sanjay Kumar Singh 2 , Umesh Singh 2
Affiliation  

This article focuses on the parameter estimation of experimental items/units from Weibull Poisson Model under progressive type-II censoring with binomial removals (PT-II CBRs). The expectation–maximization algorithm has been used for maximum likelihood estimators (MLEs). The MLEs and Bayes estimators have been obtained under symmetric and asymmetric loss functions. Performance of competitive estimators have been studied through their simulated risks. One sample Bayes prediction and expected experiment time have also been studied. Furthermore, through real bladder cancer data set, suitability of considered model and proposed methodology have been illustrated.



中文翻译:

贝叶斯推理:使用期望最大化算法的删失数据的 Weibull Poisson 模型及其在膀胱癌数据中的应用

本文重点介绍 Weibull Poisson 模型在渐进式 II 删失和二项式去除 (PT-II CBRs) 下的实验项目/单元的参数估计。期望最大化算法已用于最大似然估计器 (MLE)。MLE 和贝叶斯估计量是在对称和非对称损失函数下获得的。通过模拟风险研究了竞争估计器的性能。还研究了一个样本贝叶斯预测和预期实验时间。此外,通过真实的膀胱癌数据集,已经说明了所考虑的模型和提出的方法的适用性。

更新日期:2020-11-12
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