This paper provides some test cases, called circuits, for the evaluation of Gaussian likelihood maximization algorithms of the cointegrated vector autoregressive model. Both I(1) and I(2) models are considered. The performance of algorithms is compared first in terms of effectiveness, defined as...

This paper provides some test cases, called circuits, for the evaluation of Gaussian likelihood maximization algorithms of the cointegrated vector autoregressive model. Both I(1) and I(2) models are considered. The performance of algorithms is compared first in terms of effectiveness, defined as...

Likelihood ratio tests of over-identifying restrictions on the common trends loading matrices in I(2) VAR systems are discussed. It is shown how hypotheses on the common trends loading matrices can be translated into hypotheses on the cointegration parameters. Algorithms for (constrained)...

This article was prepared for the Special Issue "Celebrated Econometricians: Katarina Juselius and Søren Johansen" of Econometrics. It is based on material recorded on 30 October 2018 in Copenhagen. It explores Søren Johansen’s research, and discusses inter alia the following issues:...

This article was prepared for the Special Issue "Celebrated Econometricians: Katarina Juselius and Søren Johansen" of Econometrics. It is based on material recorded on 30-31 October 2018 in Copenhagen. It explores Katarina Juselius’ research, and discusses inter alia the following issues:...

This paper discusses identification of systems of simultaneous cointegrating equations with integrated variables of order two. Rank and order conditions for identification are provided for general linear restrictions, as well as for equation-by-equation constraints. As expected, the application...

This paper discusses identification within a new parametrization for I(2) systems, where the integral and proportional control cointegrating relations are not necessarily orthogonal. The new parametrization, while equivalent to previously proposed ones, gives more flexibility in choosing the...