Abstract
This paper presents likelihood analysis of the I(2) cointegrated vector
autoregression with piecewise linear deterministic terms. Limiting behavior of the
maximum likelihood estimators are derived, which is used to further derive the limiting
distribution of the likelihood ratio statistic for the cointegration ranks, extending
the result for I(2) models with a linear trend in Nielsen and Rahbek (2007) and for
I(1) models with piecewise linear trends in Johansen, Mosconi, and Nielsen (2000).
The provided asymptotic theory extends also the results in Johansen, Juselius, Frydman,
and Goldberg (2009) where asymptotic inference is discussed in detail for one
of the cointegration parameters. To illustrate, an empirical analysis of US consumption,
income and wealth, 1965 - 2008, is performed, emphasizing the importance of
a change in nominal price trends after 1980.
autoregression with piecewise linear deterministic terms. Limiting behavior of the
maximum likelihood estimators are derived, which is used to further derive the limiting
distribution of the likelihood ratio statistic for the cointegration ranks, extending
the result for I(2) models with a linear trend in Nielsen and Rahbek (2007) and for
I(1) models with piecewise linear trends in Johansen, Mosconi, and Nielsen (2000).
The provided asymptotic theory extends also the results in Johansen, Juselius, Frydman,
and Goldberg (2009) where asymptotic inference is discussed in detail for one
of the cointegration parameters. To illustrate, an empirical analysis of US consumption,
income and wealth, 1965 - 2008, is performed, emphasizing the importance of
a change in nominal price trends after 1980.
| Originalsprog | Engelsk |
|---|---|
| Udgivelsessted | Aarhus |
| Udgiver | Institut for Økonomi, Aarhus Universitet |
| Antal sider | 26 |
| Status | Udgivet - 2009 |