login

The Power Function of the Likelihood Ratio Test for Cointegration

Lecture notes in economics and mathematical systemsPublished 1 January 1991
Søren Johansen
Citations38

Abstract

The distribution of the likelihood ratio test for cointegration under local alternatives is found to be given by a suitable functional of a p—r dimensional Ornstein—Uhlenbeck process. The results are related to those of Phillips (1988), who considered near—integrated processes and derived the power function of a test for unit roots based on a regression estimate. The power function is investigated numerically for a one—dimensional alternative.

Keywords

Economics, Econometrics and Finance