COWLES FOUNDATION FOR RESEARCH IN
ECONOMICS Box 208281
COWLES FOUNDATION DISCUSSION PAPER NO. 1329 A CUSUM Test for Cointegration Using Regression Residuals Zhijie Xiao and Peter C. B. Phillips September 2001 We show that the conventional CUSUM test for structural change can be applied to cointegrating regression residuals leading to a consistent residual based test for the null hypothesis of cointegration. The proposed tests are semiparametric and utilize fully modified residuals to correct for endogeneity and serial correlation and to scale out nuisance parameters. The limit distribution of the test is derived under both the null and the alternative hypothesis. The tests are easy to use and are found to perform quite well in a Monte Carlo experiment. JEL Classification: C22 Key Words: Bandwidth, CUSUM test, Fully modified regression, Null of cointegration, Residual based test, Semiparametric method |
