Abstract

This paper provides an objective Bayesian inference method with partial information based on generalized Type-II progressive hybrid censored data. We first derive a reference prior with partial information on the unknown parameters and then show that this leads to suitable posterior distributions. In addition, we provide a prediction method based on the derived reference prior with partial information for the remaining service life when a unit has survived until a certain time point. The validity of the proposed approach is assessed through Monte Carlo simulations and a real data analysis.

中文翻译：

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广义II型渐进混合删失方案下带有部分信息的Weibull分布的客观贝叶斯分析

摘要

本文提供了一种基于广义II型渐进混合删失数据的具有部分信息的客观贝叶斯推理方法。我们首先用未知参数的部分信息推导出一个参考先验，然后证明这会导致合适的后验分布。此外，我们提供了一种基于派生参考先验的预测方法，其中包含当一个单元存活到某个时间点时的剩余使用寿命的部分信息。所提出方法的有效性通过蒙特卡罗模拟和真实数据分析进行评估。