In this paper, we propose a framework for the modelling of multivariate dynamic processes which are driven by an unobservable common autoregressive component. Economically motivated by the mixture-of-distribution hypothesis, we model the multivariate intraday trading process of return...

This paper develops a procedure for testing hypotheses on the full set of cointegration parameters of the I(2) model. The proposed test is applied to the analysis of small-country import price determination extending the standard empirical framework to allow for variables integrated of order...

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...

Nominal-to-real data transformations are routinely used in empirical work. A common example is the transformation of nominal money and prices to real money and the rate of inflation. This paper establishes the necessary and sufficient condition for a transformation to reduce the order of...

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...

This paper discusses a number of likelihood ratio tests on long-run relations and common trends in the I(2) model and provide new results on the test of overidentifying restrictions on β’xt and the asymptotic variance for the stochastic trends parameters, α⊥1: How to specify deterministic...

In this paper we apply the encompassing principle to test whether a model that has been estimated with seasonally adjusted data (SA) can encompass a model that is based on non-seasonllay adjusted (NSA) data. Building upon and extending the work på Ericsson, Hendry and Tran (1994) who analyze...

We review recent asymptotic results on some robust methods for multiple regression. The regressors include stationary and non-stationary time series as well as polynomial terms. The methods include the Huber-skip M-estimator, 1-step Huber-skip M-estimators, in particular the Impulse Indicator...