Statistical Inference for Gompertz Distribution Using the Adaptive-General Progressive Type-II Censored Samples

被引:4
|
作者
Abu-Moussa M.H. [1 ]
El-Din M.M.M. [2 ]
Mosilhy M.A. [1 ,3 ]
机构
[1] Department of Mathematics, Faculty of Science, Cairo University, Giza
[2] Department of Mathematics, Faculty of Science, Al-Azhar University, Cairo
[3] Department of Statistics, Faculty of Science, University of Tabuk, Tabuk
关键词
Adaptive-general progressive type-II censoring; Bayesian estimation and prediction; Gompertz distribution; maximum likelihood estimation;
D O I
10.1080/01966324.2020.1835590
中图分类号
学科分类号
摘要
In this article, we combine the adaptive progressive Type-II censoring model with the general progressive model, to obtain the estimates for the parameters of Gompertz distribution, and the Bayesian prediction intervals. Estimation is executed using the maximum likelihood method (MLE) and the Bayesian method. Bayesian estimates are constructed depending on four types of loss functions. The credible intervals and the asymptotic confidence intervals are determined for the parameters of Gompertz distribution based on the Bayesian estimates and the MLEs, respectively. Finally, a real data example and the simulation study are discussed to compare the proposed methods. © 2020 Taylor & Francis Group, LLC.
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页码:189 / 211
页数:22
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