Distribution Approximations for Cointegration Tests with Stationary Exogenous Regressors.

The distribution of a functional of two correlated vector-Brownian motions is approximated by a Gamma distribution. This functional represents the limiting distribution for cointegration tests with stationary exogenous regressors, but also for cointegration tests based on a non-Gaussian likelihood....

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Bibliographic Details
Main Authors: Boswijk, H, Doornik, J
Format: Journal article
Language:English
Published: John Wiley & Sons, Ltd. 2005
Description
Summary:The distribution of a functional of two correlated vector-Brownian motions is approximated by a Gamma distribution. This functional represents the limiting distribution for cointegration tests with stationary exogenous regressors, but also for cointegration tests based on a non-Gaussian likelihood. The approximation is accurate, fast and easy to use in comparison with both tabulated critical values and simulated p-values. The proposed procedure is applied to a UK model investigating purchasing power parity.