Bayesian Prediction Intervals and Their Relationship to Tolerance Intervals
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We consider Bayesian prediction intervals that contain a proportion of a finite number of observations with a specified probability. Such intervals arise in numerous applied contexts and are closely related to tolerance intervals. Several examples are provided to illustrate this methodology, and simulation studies are used to demonstrate potential pitfalls of using tolerance intervals when prediction intervals are required.
author list (cited authors)
Hamada, M., Johnson, V., Moore, L. M., & Wendelberger, J.