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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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Bibliographic Info

Article provided by Elsevier in its journal Computational Statistics & Data Analysis.

Volume (Year): 76 (2014)
Issue (Month): C ()
Pages: 577-587

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Handle: RePEc:eee:csdana:v:76:y:2014:i:c:p:577-587

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Web page: http://www.elsevier.com/locate/csda

Related research

Keywords: Structural breaks; Unit roots; Nonlinear dynamics;

References

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