This review discusses methods of testing for a cointegration in a time series in thepresence of structural breaks. The review covers a large number of recently developedtesting methods based on both one equation and multiple equation frameworks. In addition,various methods for estimating the...

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...

In this paper, we consider the role of “leads” of the first difference of integrated variables in the dynamic OLS estimation of cointegrating regression models. Specifically, we investigate Stock and Watson’s [J.H. Stock, M.W. Watson’s, A simple estimator of cointegrating vectors in...

In this paper, Mallows'(1973) Cp criterion, Akaike's (1973) AIC, Hurvich and Tsai's (1989) corrected AIC and the BIC of Akaike (1978) and Schwarz (1978) are derived for the leads-and-lags cointegrating regression. Deriving model selection criteria for the leads-and-lags regression is a...

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...

In this paper, we propose a new approach to test the hypothesis of long-run Granger non-causality in cointegrated systems. We circumvent the problem of singularity of the variance-covariance matrix associated with the usual Wald type test by proposing a generalized inverse procedure, and an...