In this paper, Health-related quality of life has not been adequately measured in bladder cancer. A recently developed reliable and disease-specific quality of life instrument (Bladder Cancer Index, BCI) was used to measure. Progressive type II censoring schemes have potential usefulness in practice where budget constraints in place or there is a necessity for the speedy test. To test the process capability, the lifetime performance index CL is widely recommended for evaluating the performance of the product’s lifetime and evaluating the lifetime performance index CL for the three-parameter Weighted-Lomax distribution (WLx) under progressive type-II censoring sample for a lower specification limit (L). The statistical inference concerning CL is conducted via obtaining the maximum likelihood of CL on the base of progressive type-II censoring. The asymptotic normal distribution of the MLE of CL and the confidence interval is proposed. Moreover, the hypothesis testing of CL for evaluating the lifetime performance of WLx data is conducted. Also, assuming the conjugate prior distribution and squared error loss function, this study constructs a Bayes estimator of CL. The Bayes estimator of CL is then utilized to develop a credible interval in the condition of known L. Moreover, we propose a Bayesian test to assess the lifetime performance of products. We also propose a Bayesian test to assess the lifetime performance of products. Finally, two examples are given, one of them is considering a real life data of the remission times of bladder cancer patients in endurance lifetime test and the other is a simulated example to illustrate the usage of the proposed procedure.

中文翻译：

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基于渐进式 II 型截断方案评估加权 Lomax 分布的终生表现指数用于膀胱癌

在本文中，与健康相关的生活质量尚未在膀胱癌中得到充分测量。使用最近开发的可靠且特定疾病的生活质量工具（膀胱癌指数，BCI）进行测量。渐进式 II 审查方案在预算限制到位或有必要进行快速测试的实践中具有潜在的用处。测试工艺能力、寿命性能指标C大号被广泛推荐用于评估产品的寿命性能和评估寿命性能指标C大号对于规格下限 (大号）。关于统计推断C大号是通过获得的最大可能性进行C大号在渐进式 II 审查的基础上。MLE 的渐近正态分布C大号并提出置信区间。此外，假设检验C大号用于评估 WLx 数据的生命周期性能。此外，假设共轭先验分布和平方误差损失函数，本研究构建了一个贝叶斯估计量C大号. 贝叶斯估计量C大号然后用于在已知条件下开发一个可信区间大号. 此外，我们提出了贝叶斯测试来评估产品的寿命性能。我们还提出了贝叶斯测试来评估产品的生命周期性能。最后，给出了两个例子，一个是考虑膀胱癌患者在耐力寿命测试中缓解时间的真实生活数据，另一个是一个模拟例子来说明所提出的程序的用法。