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A joint test for structural stability and a unit root in autoregressions

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  • Pitarakis, Jean-Yves

Abstract

A test of the joint null hypothesis of parameter stability and a unit root within an ADF style autoregressive specification whose entire parameter structure is potentially subject to a structural break at an unknown time period is developed. The proposed test is a useful diagnostic tool for assessing the interactions of breaks and unit root type of nonstationarities in time series, in addition to offering a powerful device for detecting changes in persistence. As a byproduct the limiting behaviour of a related Wald statistic designed to test solely the null of parameter stability in an environment with a unit root is also obtained. These distributions are free of nuisance parameters and easily tabulated. The finite sample properties of the tests are assessed through a series of simulations, and an application to macroeconomic data illustrates their usefulness.

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  • Pitarakis, Jean-Yves, 2014. "A joint test for structural stability and a unit root in autoregressions," Computational Statistics & Data Analysis, Elsevier, vol. 76(C), pages 577-587.
    • Handle: RePEc:eee:csdana:v:76:y:2014:i:c:p:577-587
    DOI: 10.1016/j.csda.2012.07.027
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    1. Costantini, Mauro & Sen, Amit, 2016. "A simple testing procedure for unit root and model specification," Computational Statistics & Data Analysis, Elsevier, vol. 102(C), pages 37-54.
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    3. Christis Katsouris, 2023. "Break-Point Date Estimation for Nonstationary Autoregressive and Predictive Regression Models," Papers 2308.13915, arXiv.org.

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