The Type-I and Type-II censoring schemes are the most prominent and commonly used censoring schemes in practice. In this work, a mixture of Type-I and Type- II censoring schemes, named the Type I-Type II mixture censoring scheme, has been introduced. Different censoring schemes have been discussed, along with their benefits and drawbacks. For the proposed censoring scheme, we analyze the data under the assumption that failure times of experimental units follow the Weibull distribution. The computational formulas for the expected number of failures and the expected failure time are provided. Maximum likelihood estimation and Bayesian estimation are used to estimate the model parameters. On the basis of thorough Monte Carlo simulations, the investigated inferential approaches are evaluated. Finally, a numerical example is provided to demonstrate the method of inference discussed here.
翻译:I型和II型删失方案是实践中最为突出且常用的删失方案。本文引入了一种I型和II型删失方案的混合形式,称为I型-II型混合删失方案。讨论了不同删失方案及其优缺点。针对所提出的删失方案,我们在假设实验单元的失效时间服从威布尔分布的框架下分析数据。给出了预期失效次数和预期失效时间的计算公式。采用极大似然估计和贝叶斯估计对模型参数进行估计。基于充分的蒙特卡洛模拟,对所研究的推断方法进行了评估。最后,通过数值算例展示了本文讨论的推断方法。