论文标题
贝叶斯公差区域具有线性混合模型的应用
Bayesian tolerance regions with an application to linear mixed models
论文作者
论文摘要
我们审查和对比的经常主义者和贝叶斯对公差区域的定义。我们提供的条件下，对于大样品，贝叶斯地区也具有频繁的有效性，并在模拟研究中研究了后者的较小样品。我们讨论了用于计算高斯未来变量的贝叶斯双面公差间隔的计算策略，并将其应用于可能是不平衡的线性混合模型的情况下。我们说明了制药行业质量控制实验的方法。
We review and contrast frequentist and Bayesian definitions of tolerance regions. We give conditions under which for large samples a Bayesian region also has frequentist validity, and study the latter for smaller samples in a simulation study. We discuss a computational strategy for computing a Bayesian two-sided tolerance interval for a Gaussian future variable, and apply this to the case of possibly unbalanced linear mixed models. We illustrate the method on a quality control experiment from the pharmaceutical industry.
