TY - GEN UR - https://archiv.ub.uni-heidelberg.de/volltextserver/20376/ EP - 41 A1 - Dovern, Jonas A1 - Manner, Hans N2 - We derive new tests for proper calibration of multivariate density forecasts based on Rosenblatt probability integral transforms. These tests have the advantage that they i) do not depend on the ordering of variables in the forecasting model, ii) are applicable to densities of arbitrary dimensions, and iii) have superior power relative to existing approaches. We furthermore develop adjusted tests that allow for estimated parameters and, consequently, can be used as in-sample specification tests. We demonstrate the problems of existing tests and how our new approaches can overcome those using Monte Carlo Simulation as well as two applications based on multivariate GARCH-based models for stock market returns and on a macroeconomic Bayesian vectorautoregressive model. T3 - Discussion Paper Series, University of Heidelberg, Department of Economics Y1 - 2016/03// TI - Order Invariant Evaluation of Multivariate Density Forecasts CY - Heidelberg AV - public KW - density calibration KW - goodness-of-fit test KW - predictive density KW - Rosenblatt transformation ID - heidok20376 ER -