@techreport{NBERt0215, title = "Evaluating Density Forecasts", author = "Francis X. Diebold and Todd A. Gunther and Anthony S. Tay", institution = "National Bureau of Economic Research", type = "Working Paper", series = "Technical Working Paper Series", number = "215", year = "1997", month = "October", URL = "http://www.nber.org/papers/t0215", abstract = {We propose methods for evaluating density forecasts. We focus primarily on methods" that are applicable regardless of the particular user's loss function. We illustrate the methods" with a detailed simulation example, and then we present an application to density forecasting of" daily stock market returns. We discuss extensions for improving suboptimal density forecasts multi-step-ahead density forecast evaluation, multivariate density forecast evaluation for structural change and its relationship to density forecasting, and density forecast evaluation" with known loss function.}, }