Unit Root Tests: The Role of the Univariate Models Implied by Multivariate Time Series
Year:
2016
Type of item:
Articolo in Rivista
Tipologia ANVUR:
Articolo su rivista
Language:
Inglese
Format:
Elettronico
Referee:
Sì
Name of journal:
ECONOMETRICS
ISSN of journal:
2225-1146
N° Volume:
4
Number or Folder:
21
Page numbers:
1-11
Keyword:
unit root tests; multivariate time series; cointegration
Short description of contents:
In cointegration analysis, it is customary to test the hypothesis of unit roots separately for each single time series. In this note, we point out that this procedure may imply large size distortion of the unit root tests if the DGP is a VAR. It is well-known that univariate models implied by a VAR data generating process necessarily have a finite order MA component. This feature may explain why an MA component has often been found in univariate ARIMA models for economic time series. Thereby, it has important implications for unit root tests in univariate settings given the well-known size distortion of popular unit root test in the presence of a large negative coefficient in the MA component. In a small simulation experiment, considering several popular unit root tests and the ADF sieve bootstrap unit tests, we find that, besides the well known size distortion effect, there can be substantial differences in size distortion according to which univariate time series is tested for the presence of a unit root.
Cappuccio, Nunzio; Lubian, Diego,
Unit Root Tests: The Role of the Univariate Models Implied by Multivariate Time Series«ECONOMETRICS»
, vol. 4
, n. 21
, 2016
, pp. 1-11