In this paper we propose residual-based tests for the null hypothesis of cointegration with a structural break against the alternative of no cointegration. The Lagrange Multiplier (LM) test is proposed and its limiting distribution is obtained for the case in which the timing of a structural...

This paper examines a point optimal invariant (POI) test for the null hypothesis of cointegration. Our test is different from Jansson's (2005) test in that we consider location invariance in wider directions and that we assume an unknown variance-covariance matrix for the error term, while it is...

This paper considers a single equation cointegrating model and proposes the locally best invariant and unbiased (LBIU) test for the null hypothesis of cointegration. We derive the asymptotic local power functions and compare them with the standard residualbased test, and we show that the LBIU...