Tolerance Intervals for Variance Component Models Using Bayesian Simulation

摘要

This article presents a simulation-based approach for determining Bayesian tolerance intervals in variance component models.The approach handles different kinds of tolerance intervals in a straightforward fashinon and is easily tailored to particular applications.In utilizes a computer-generated sample from the joint posterior distribution of the mean and variance parameters to construct a sample from other relevant posterior distribution of the mean and variance parameters to construct a sample from other relevant posterior distributions.An aircraft manufacturing example illustrates important feature of the method,including the use of informative and noninformative priors and relationships with frequentist methodologies.