Evaluating Density Forecasts: A Comment

Abstract

This is a comment on Mitchell and Wallis (2011) which in turn is a critical reaction to Gneiting et al. (2007). The comment discusses the notion of forecast calibration, the advantage of using scoring rules, the “sharpness” principle and a general approach to testing calibration. The aim is to show how a more general and explicitly stated framework can provide further insights into the theory and practice of of probabilistic forecasting.