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Testing for a trend with persistent errors

Graham Elliott ()

Journal of Econometrics, 2020, vol. 219, issue 2, 314-328

Abstract: We develop new tests for the coefficient on a time trend in a regression of a variable on a constant and time trend where there is potentially strong serial correlation. This serial correlation can also include a unit root. We obtain tests under two different assumptions on the initial value for the stochastic component of the variable being examined, either this being zero asymptotically and also allowing the initial condition to be drawn from its unconditional distribution. We find that statistics perform better under the second of these assumptions, which is the more natural assumption to make.

Keywords: Composite hypothesis; Trend (search for similar items in EconPapers)
JEL-codes: C12 C21 C22 (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:econom:v:219:y:2020:i:2:p:314-328

DOI: 10.1016/j.jeconom.2020.03.006

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Journal of Econometrics is currently edited by T. Amemiya, A. R. Gallant, J. F. Geweke, C. Hsiao and P. M. Robinson

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