Real-Time Multivariate Density Forecast Evaluation and Calibration: Monitoring the Risk of High-Frequency Returns on Foreign Exchange
Francis X. Diebold, Jinyong Hahn, Anthony S. Tay
We provide a framework for evaluating and improving multivariate density forecasts. Among other things, the multivariate framework lets us evaluate the adequacy of density forecasts involving cross-variable interactions, such as time-varying conditional correlations. We also provide conditions under which a technique of density forecast forecasts. Finally by recent advances in financial risk management, we provide a detailed application to multivariate high-frequency exchange rate density forecasts.
Published: (Published as "Multivariate Density Forecast Evaluation and Calibration in Financial Risk Management: High Frequency Returns on Foreign Exchange") Review of Economics and Statistics, Vol. 81 (1999): 661-673.