Authors: Carsten Trenkler
Publish Date: 2007/07/18
Volume: 23, Issue: 1, Pages: 19-39
Abstract
Following Doornik J Econ Surv 12573–593 1998 I present a procedure to approximate the asymptotic distributions of systems cointegration tests with a prior adjustment for deterministic terms suggested by Lütkepohl Econometrica 72647–662 2004 Saikkonen and Lütkepohl Econometric Theory 16373–406 2000a J Business Econ Stat 18451–464 2000b Time Series Anal 21435–456 2000c and Saikkonen and Luukkonen J Econ 8193–126 1997 These tests rely upon different assumptions as to the inclusion of deterministic components such as a constant a linear trend or a level shift The asymptotic distributions which are functions of Brownian motions are approximated by Gamma distributions Only estimates of the mean and variance of the asymptotic test distributions are needed to fit the Gamma distributions Such estimates are obtained from response surfaces The required coefficients to compute the asymptotic moments are presented in this paper Via the fitted Gamma distributions one can then easily derive pvalues or arbitrary percentiles
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