This paper presents the likelihood ratio (LR) test for the number of cointegrating and multi-cointegrating relations in the I(2) vector autoregressive model. It is shown that the asymptotic distribution of the LR test for the (multi-) cointegration ranks is identical to the asymptotic...

This paper performs a system cointegration analysis of UK money demand based on real money, real income, the opportunity cost of holding money, and inflation for the period 1873 - 2001. As a novelty we account for the effect of the world wars by estimating additive data corrections, allowing...

Relationships between the Federal funds rate, unemployment, inflation, and the long-term government-bond rate are investigated with cointegration techniques. We find a stable long-term relationship between the Federal funds rate, unemployment, and the bond rate. This relationship is...

We characterize the restrictions imposed by the minimal I(2)-to-I(1) transformation that underlies much applied work, e.g. on money demand relationships or open-economy pricing relationships. The relationship between the parameters of the original I(2) vector autoregression, including the...

A representation for I(2) processes is derived which allows for trend-stationary components and restricts the deterministic part of the process to be at most linear. A two-step statistical analysis of the model is derived. The joint test of I(1) and I(2) cointegrating ranks is shown to be...

In this paper, we consider a general class of vector error correction models which allow for asymmetric and non-linear error correction. We provide asymptotic results for (quasi-)maximum likelihood (QML) based estimators and tests. General hypothesis testing is considered, where testing for...