In this article, based on progressively type-II censored schemes, the maximum likelihood, Bayes, and two parametric bootstrap methods are used for estimating the unknown parameters of the Weibull Fréchet distribution and some lifetime indices as reliability and hazard rate functions. Moreover, approximate confidence intervals and asymptotic variance-covariance matrix have been obtained. Markov chain Monte Carlo technique based on Gibbs sampler within Metropolis–Hasting algorithm is used to generate samples from the posterior density functions. Furthermore, Bayesian estimate is computed under both balanced square error loss and balanced linear exponential loss functions. Simulation results have been implemented to obtain the accuracy of the estimators. Finally, application on the survival times in years of a group of patients given chemotherapy and radiation treatment is presented for illustrating all the inferential procedures developed here.

中文翻译：

---

使用贝叶斯和非贝叶斯方法推断 Weibull Fréchet 分布对胃癌存活时间

在本文中，基于渐进式 II 删失方案，最大似然、贝叶斯和两个参数自举方法用于估计 Weibull Fréchet 分布的未知参数和一些寿命指数作为可靠性和风险率函数。此外，还得到了近似的置信区间和渐近方差-协方差矩阵。使用基于 Metropolis-Hasting 算法中的 Gibbs 采样器的马尔可夫链蒙特卡罗技术从后验密度函数生成样本。此外，贝叶斯估计是在平衡平方误差损失和平衡线性指数损失函数下计算的。已实施仿真结果以获得估计器的准确性。最后，