We contribute to the rather sparse literature on multivariate density forecasting by introducing a new framework for the out-of-sample evaluation of multivariate density forecast models which builds on the concept of “autocontours” proposed by González-Rivera, Senyuz, and Yoldas (2011)....

Histogram time series (HTS) and interval time series (ITS) are examples of symbolic data sets. Though there have been methodological developments in a cross-sectional environment, they have been scarce in a time series setting. Arroyo, González-Rivera, and Maté (2011) analyze various...