The cointegrated vector autoregressive model with general deterministic terms

Publikation: Bidrag til tidsskriftTidsskriftartikelfagfællebedømt

In the cointegrated vector autoregression (CVAR) literature, deterministic terms have until now been analyzed on a case-by-case, or as-needed basis. We give a comprehensive unified treatment of deterministic terms in the additive model X(t)=Z(t) Y(t), where Z(t) belongs to a large class of deterministic regressors and Y(t) is a zero-mean CVAR. We suggest an extended model that can be estimated by reduced rank regression and give a condition for when the additive and extended models are asymptotically equivalent, as well as an algorithm for deriving the additive model parameters from the extended model parameters. We derive asymptotic properties of the maximum likelihood estimators and discuss tests for rank and tests on the deterministic terms. In particular, we give conditions under which the estimators are asymptotically (mixed) Gaussian, such that associated tests are X 2 -distributed.
OriginalsprogEngelsk
TidsskriftJournal of Econometrics
Vol/bind202
Udgave nummer2
Sider (fra-til)214-229
ISSN0304-4076
DOI
StatusUdgivet - feb. 2018

ID: 222753068