This paper develops a limiting theory for Wald tests of weak exogeneity in error correction models (ECMs). It is well known that Wald statistics on cointegrated systems may involve nonstandard distribution and nuisance parameters, if $I(1)$ variables are not negligible in the statistics. To...

We propose a novel statistic to test the rank of a matrix. The rank statistic overcomes deficiencies of existing rank statistics, like: necessity of a Kronecker covariance matrix for the canonical correlation rank statistic of Anderson (1951), sensitivity to the ordering of the variables for the...

Macroeconomic or financial data are often modelled with cointegration and GARCH. Noticeable examples include those studies of price discovery, in which stock prices of the same underlying asset are cointegrated and they exhibit multivariate GARCH. Modifying the asymptotic theories developed in...

Economic policy decisions are often informed by empirical economic analysis. While the decision-maker is usually only interested in good estimates of outcomes, the analyst is interested in estimating the model. Accurate inference on the structural features of a model, such as cointegration, can...

Macroeconomic or financial data are often modelled with cointegration and GARCH. Noticeable examples include those studies of price discovery, in which stock prices of the same underlying asset are cointegrated and they exhibit multivariate GARCH. Modifying the asymptotic theories developed in...

We consider the issue of cross sectional aggregation in nonstationary, heterogeneous panels where each unit cointegrates. We first derive the asymptotic properties of the aggregate estimate, and a necessary and sufficient condition for cointegration to hold in the aggregate relationship. We also...

The strong consumption growth in a period of falling stock market and a moderate recession in the U.S. has sparked off a debate about the role of housing wealth as one of the determinants of consumption. The literature is divided over the issue whether the effect of change in the financial...

Financial Market is a Complex System.Quantitative analysis of Complex system is difficult. There is little mensurable method in this field. But we often need describe the running pattern in complex system. How can we describe and find the running pattern (structure) change in complex system. The...

This paper provides a necessary and sufficient condition for weak exogeneity in vector error correction models. An interesting property is that the statistics involved in the sequential procedure for testing this condition are distributed as ?ariables and can therefore easily be calculated with...

In examining the likely consequences of nonsense relationship, Granger and Newbold (1974) made it clear that the differencing is not the universal sure solution to the problem of spurious regression models. This has prompted the discovery of the cointegration regression estimation by Engle and...