Testing for Cointegration in a Double-LSTR Framework

Research output: Chapter in book/report/conference proceedingContribution to book/anthologyResearchpeer review

Authors

  • Claudia Grote
  • Philipp Sibbertsen

Research Organisations

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Details

Original languageEnglish
Title of host publicationEmpirical Economic and Financial Research
Subtitle of host publicationTheory, Methods and Practice
Pages437-450
Number of pages14
Publication statusPublished - 2015

Publication series

NameAdvanced Studies in Theoretical and Applied Econometrics
Volume48
ISSN (Print)1570-5811
ISSN (electronic)2214-7977

Abstract

This paper investigates the finite-sample properties of the smooth transition-based cointegration test proposed by Kapetanios et al. (Econ Theory 22:279–303, 2006) when the data generating process under the alternative hypothesis is a globally stationary second order LSTR model. The provided procedure describes an application to long-run equilibrium relations involving real exchange rates with symmetric behaviour. We utilise the properties of the double LSTR transition function that features unit root behaviour within the inner regime and symmetric behaviour in the outer regimes. Hence, under the null hypothesis we imply no cointegration and globally stationary D-LSTR cointegration under the alternative. As a result of the identification problem the limiting distribution derived under the null hypothesis is non-standard. The Double LSTR is capable of producing three-regime TAR nonlinearity when the transition parameter tends to infinity as well as generating exponential-type nonlinearity that closely approximates ESTR nonlinearity. Therefore, we find that the Double LSTR error correction model has power against both of these alternatives.

Keywords

    Auxiliary Regression, Cointegration Relation, Cointegration Test, Error Correction Model, Error Correction Term

ASJC Scopus subject areas

Cite this

Testing for Cointegration in a Double-LSTR Framework. / Grote, Claudia; Sibbertsen, Philipp.
Empirical Economic and Financial Research: Theory, Methods and Practice. 2015. p. 437-450 (Advanced Studies in Theoretical and Applied Econometrics; Vol. 48).

Research output: Chapter in book/report/conference proceedingContribution to book/anthologyResearchpeer review

Grote, C & Sibbertsen, P 2015, Testing for Cointegration in a Double-LSTR Framework. in Empirical Economic and Financial Research: Theory, Methods and Practice. Advanced Studies in Theoretical and Applied Econometrics, vol. 48, pp. 437-450. https://doi.org/10.1007/978-3-319-03122-4_27
Grote, C., & Sibbertsen, P. (2015). Testing for Cointegration in a Double-LSTR Framework. In Empirical Economic and Financial Research: Theory, Methods and Practice (pp. 437-450). (Advanced Studies in Theoretical and Applied Econometrics; Vol. 48). https://doi.org/10.1007/978-3-319-03122-4_27
Grote C, Sibbertsen P. Testing for Cointegration in a Double-LSTR Framework. In Empirical Economic and Financial Research: Theory, Methods and Practice. 2015. p. 437-450. (Advanced Studies in Theoretical and Applied Econometrics). Epub 2014 Oct 14. doi: 10.1007/978-3-319-03122-4_27
Grote, Claudia ; Sibbertsen, Philipp. / Testing for Cointegration in a Double-LSTR Framework. Empirical Economic and Financial Research: Theory, Methods and Practice. 2015. pp. 437-450 (Advanced Studies in Theoretical and Applied Econometrics).
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