Order-Invariant Tests for Proper Calibration of Multivariate Density Forecasts

Dovern J, Manner H (2020)


Publication Language: English

Publication Type: Journal article, Original article

Publication year: 2020

Journal

Book Volume: 35

Pages Range: 440-456

Article Number: 4

DOI: 10.1002/jae.2755

Open Access Link: https://onlinelibrary.wiley.com/doi/full/10.1002/jae.2755

Abstract

Established tests for proper calibration of multivariate density forecasts based on Rosenblatt probability integral transforms can be manipulated by changing the order of variables in the forecasting model. We derive order invariant tests. The new tests are applicable to densities of arbitrary dimensions and can deal with parameter estimation uncertainty and dynamic misspecification. Monte Carlo simulations show that they often have superior power relative to established approaches. We use the tests to evaluate GARCH-based multivariate density forecasts for a vector of stock market returns and macroeconomic forecasts from a BVAR with time-varying parameters.

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APA:

Dovern, J., & Manner, H. (2020). Order-Invariant Tests for Proper Calibration of Multivariate Density Forecasts. Journal of Applied Econometrics, 35, 440-456. https://dx.doi.org/10.1002/jae.2755

MLA:

Dovern, Jonas, and Hans Manner. "Order-Invariant Tests for Proper Calibration of Multivariate Density Forecasts." Journal of Applied Econometrics 35 (2020): 440-456.

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