What does the error correction term represent?

What does the error correction term represent?

The cointegration term is known as the error correction term since the deviation from long-run equilibrium is corrected gradually through a series of partial short-run adjustments. The error correction term represents the long-run relationship.

What is ARDL ECM?

ARDL-ECM Model. First introduced by Charemza and Deadman (1992) and then improved by Pesaran et al. (2001), autoregressive distributed lag (ARDL) is one of the cointegration approaches to test whether long-run equilibrium exists within an economic system.

Why we use cointegration and autoregressive distributed lag ARDL models in our data analysis?

Unlike the Johansen and Juselius(1990) cointegration procedure, Autoregressive Distributed Lag (ARDL) approach to cointegration helps in identifying the cointegrating vector(s). The reparameterized result gives short-run dynamics (i.e. traditional ARDL) and long run relationship of the variables of a single model.

What is the purpose of ARDL model?

The ARDL / EC model is useful for forecasting and to disentangle long-run relationships from short-run dynamics. Long-run relationship: Some time series are bound together due to equilibrium forces even though the individual time series might move considerably.

Why do we need error correction?

Many communication channels are subject to channel noise, and thus errors may be introduced during transmission from the source to a receiver. Error detection techniques allow detecting such errors, while error correction enables reconstruction of the original data in many cases.

How are ARDL models related to independent variables?

ARDL models are linear time series models in which both the dependent and independent variables are related not only contemporaneously, but across historical (lagged) values as well.

When does autoregressive distributed lag ( ARDL ) estimation work?

The test is in fact a parameter significance test on the long-run variables in the ECM of the underlying vector autoregression (VAR) model, and works when all or some variables are I(0) , or even mutually cointegrated.

When to use short run and long run in ARDL?

If there exists a long-run equilibrium between X and Y, then in the equilibrium time subscripts do not matter. You should essentially interpret these long-run level terms without time subscripts. In the long-run, a change of X by 1 unit has an effect on Y by ‘theta’ units (given by the long-run coefficient).

What does the coefficient of error correction term indicate?

In a single equation ecm the coefficient on the error correction mechanism must be between -1 and 0. Otherwise the error correction term is explosive. In a single equation (Engle-Granger or ARDL estimates or ) a coefficient outside the accepted range is an indication of model misspecification.