Elsevier

Journal of Econometrics

Volume 54, Issues 1–3, October–December 1992, Pages 159-178
Journal of Econometrics

Testing the null hypothesis of stationarity against the alternative of a unit root: How sure are we that economic time series have a unit root?

https://doi.org/10.1016/0304-4076(92)90104-YGet rights and content

Abstract

We propose a test of the null hypothesis that an observable series is stationary around a deterministic trend. The series is expressed as the sum of deterministic trend, random walk, and stationary error, and the test is the LM test of the hypothesis that the random walk has zero variance. The asymptotic distribution of the statistic is derived under the null and under the alternative that the series is difference-stationary. Finite sample size and power are considered in a Monte Carlo experiment. The test is applied to the Nelson-Plosser data, and for many of these series the hypothesis of trend stationarity cannot be rejected.

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    The second and third authors gratefully acknowledge the support of the National Science Foundation.

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