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On infimum Dickey-Fuller unit root tests allowing for a trend break under the null

Harvey, DI and Leybourne, SJ and Taylor, AMR (2014) 'On infimum Dickey-Fuller unit root tests allowing for a trend break under the null.' Computational Statistics and Data Analysis, 78. 235 - 242. ISSN 0167-9473

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Abstract

Trend breaks appear to be prevalent in macroeconomic time series. Consequently, to avoid the catastrophic impact that unmodelled trend breaks have on power, it is standard empirical practice to employ unit root tests which allow for such effects. A popularly applied approach is the infimum ADF-type test. Its appeal has endured with practitioners despite results which show that the infimum ADF statistic diverges to -∞ as the sample size diverges, with the consequence that the test has an asymptotic size of unity when a break in trend is present under the unit root null hypothesis. The result for additive outlier-type breaks in trend (but not intercept) is refined and shows that divergence to -∞ occurs only when the true break fraction is smaller than 2/3. An alternative testing strategy based on the maximum of the original infimum statistic and the corresponding statistic constructed using the time-reversed sample data is considered. © 2012 Elsevier B.V. All rights reserved.

Item Type: Article
Subjects: H Social Sciences > HG Finance
Divisions: Faculty of Social Sciences > Essex Business School
Faculty of Social Sciences > Essex Business School > Essex Finance Centre
Depositing User: Users 161 not found.
Date Deposited: 28 Oct 2014 11:22
Last Modified: 05 Feb 2019 18:16
URI: http://repository.essex.ac.uk/id/eprint/11236

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