eprintid: 20376 rev_number: 14 eprint_status: archive userid: 2744 dir: disk0/00/02/03/76 datestamp: 2016-03-08 09:03:10 lastmod: 2016-04-18 13:28:49 status_changed: 2016-03-08 09:03:10 type: workingPaper metadata_visibility: show creators_name: Dovern, Jonas creators_name: Manner, Hans title: Order Invariant Evaluation of Multivariate Density Forecasts subjects: 330 divisions: 181000 keywords: density calibration, goodness-of-fit test, predictive density, Rosenblatt transformation abstract: 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. date: 2016-03 id_scheme: DOI id_number: 10.11588/heidok.00020376 schriftenreihe_cluster_id: sr-3 schriftenreihe_order: 0608 ppn_swb: 857214128 own_urn: urn:nbn:de:bsz:16-heidok-203762 language: eng bibsort: DOVERNJONAORDERINVAR201603 full_text_status: public series: Discussion Paper Series, University of Heidelberg, Department of Economics volume: 0608 place_of_pub: Heidelberg pages: 41 citation: Dovern, Jonas ; Manner, Hans (2016) Order Invariant Evaluation of Multivariate Density Forecasts. [Working paper] document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/20376/1/dovern_manner_2016_dp608.pdf