Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia.
Department of Statistics and Computer Science, Faculty of Science, Mansoura University, Mansoura 35516, Egypt.
Comput Intell Neurosci. 2022 Apr 20;2022:5134507. doi: 10.1155/2022/5134507. eCollection 2022.
This article investigates the estimation of the parameters for power hazard function distribution and some lifetime indices such as reliability function, hazard rate function, and coefficient of variation based on adaptive Type-II progressive censoring. From the perspective of frequentism, we derive the point estimations through the method of maximum likelihood estimation. Besides, delta method is implemented to construct the variances of the reliability characteristics. Markov chain Monte Carlo techniques are proposed to construct the Bayes estimates. To this end, the results of the Bayes estimates are obtained under squared error and linear exponential loss functions. Also, the corresponding credible intervals are constructed. A simulation study is utilized to assay the performance of the proposed methods. Finally, a real data set of COVID-19 mortality rate is analyzed to validate the introduced inference methods.
本文研究了基于自适应Ⅱ型逐次截尾的幂律风险函数分布参数估计和一些寿命指标，如可靠性函数、风险率函数和变差系数。从频率主义的角度，我们通过最大似然估计法得到了点估计。此外，还采用了差分法来构建可靠性特征的方差。提出了马尔可夫链蒙特卡罗技术来构建贝叶斯估计。为此，在均方误差和线性指数损失函数下得到了贝叶斯估计的结果。同时，构建了相应的可信区间。通过模拟研究来评估所提出方法的性能。最后，分析了 COVID-19 死亡率的真实数据集，以验证所提出的推断方法。
