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

A joint test for structural stability and a unit root in autoregressions
A joint test for structural stability and a unit root in autoregressions
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
structural breaks, unit roots, nonlinear dynamics
0167-9473
577-587
Pitarakis, Jean-Yves
ee5519ae-9c0f-4d79-8a3a-c25db105bd51
Pitarakis, Jean-Yves
ee5519ae-9c0f-4d79-8a3a-c25db105bd51

Pitarakis, Jean-Yves (2014) A joint test for structural stability and a unit root in autoregressions. Computational Statistics & Data Analysis, 76, 577-587. (doi:10.1016/j.csda.2012.07.027).

Record type: Article

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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More information

e-pub ahead of print date: 10 August 2012
Published date: August 2014
Keywords: structural breaks, unit roots, nonlinear dynamics
Organisations: Economics

Identifiers

Local EPrints ID: 342406
URI: http://eprints.soton.ac.uk/id/eprint/342406
ISSN: 0167-9473
PURE UUID: 933ff81b-f98b-421b-9121-e1382ad80602
ORCID for Jean-Yves Pitarakis: ORCID iD orcid.org/0000-0002-6305-7421

Catalogue record

Date deposited: 28 Aug 2012 16:23
Last modified: 15 Mar 2024 03:16

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