Chrystalleni Aristidou
The impact of the initial condition on covariate augmented unit root tests
Aristidou, Chrystalleni; Harvey, David I.; Leybourne, Stephen J.
Authors
DAVID HARVEY dave.harvey@nottingham.ac.uk
Professor of Econometrics
STEVE LEYBOURNE steve.leybourne@nottingham.ac.uk
Professor of Econometrics
Abstract
We examine the behaviour of OLS-demeaned/detrended and GLS-demeaned/detrended unit root tests that employ stationary covariates, as proposed by Hansen (1995, “Rethinking the Univariate Approach to Unit Root Testing.” Econometric Theory 11:1148–71) and Elliott and Jansson (2003, “Testing for Unit Roots with Stationary Covariates.” Journal of Econometrics 115:75–89), respectively, in situations where the magnitude of the initial condition of the time series under consideration may be non-negligible. We show that the asymptotic power of such tests is very sensitive to the initial condition; OLS- and GLS-based tests achieve relatively high power for large and small magnitudes of the initial condition, respectively. Combining information from both types of test via a simple union of rejections strategy is shown to effectively capture the higher power available across all initial condition magnitudes.
Citation
Aristidou, C., Harvey, D. I., & Leybourne, S. J. (2016). The impact of the initial condition on covariate augmented unit root tests. Journal of Time Series Econometrics, 9(1), https://doi.org/10.1515/jtse-2015-0013
Journal Article Type | Article |
---|---|
Publication Date | Mar 25, 2016 |
Deposit Date | Apr 6, 2016 |
Publicly Available Date | Apr 6, 2016 |
Journal | Journal of Time Series Econometrics |
Print ISSN | 1941-1928 |
Electronic ISSN | 1941-1928 |
Publisher | De Gruyter |
Peer Reviewed | Peer Reviewed |
Volume | 9 |
Issue | 1 |
DOI | https://doi.org/10.1515/jtse-2015-0013 |
Keywords | Unit root tests; stationary covariates; initial condition uncertainty; asymptotic power |
Public URL | https://nottingham-repository.worktribe.com/output/779099 |
Publisher URL | https://www.degruyter.com/view/j/jtse.2017.9.issue-1/jtse-2015-0013/jtse-2015-0013.xml |
Files
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(546 Kb)
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