A Simple Specification Procedure for the Transition Function in Persistent Nonlinear Time Series Models

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

Authors

  • Hendrik Kaufmann
  • Robinson Kruse
  • Philipp Sibbertsen

Research Organisations

External Research Organisations

  • Aarhus University
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Details

Original languageEnglish
Title of host publicationRecent Advances in Estimating Nonlinear Models
Subtitle of host publicationWith Applications in Economics and Finance
PublisherSpringer New York
Pages169-191
Number of pages23
Volume9781461480600
ISBN (electronic)9781461480600
ISBN (print)1461480590, 9781461480594
Publication statusPublished - 27 Aug 2013

Abstract

A simple procedure for the specification of the transition function describing the regime switch in nonlinear autoregressive models is proposed. This procedure is based on auxiliary regressions of unit root tests and is applicable to a variety of transition functions. In contrast to other procedures, complicated and computer-intense estimation of the candidate models is not necessary. Our approach entirely relies on OLS estimation of auxiliary regressions instead. We use standard information criteria for the selection of the unknown transition function. Our Monte Carlo simulations reveal that the approach works well in practice. Empirical applications to the S&P500 price-earnings ratio and the US interest spread highlight the merits of our suggested procedure.

Keywords

    Model selection, Nonlinearity, Smooth transition, Threshold model, Unit root

ASJC Scopus subject areas

Cite this

A Simple Specification Procedure for the Transition Function in Persistent Nonlinear Time Series Models. / Kaufmann, Hendrik; Kruse, Robinson; Sibbertsen, Philipp.
Recent Advances in Estimating Nonlinear Models: With Applications in Economics and Finance. Vol. 9781461480600 Springer New York, 2013. p. 169-191.

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

Kaufmann, H, Kruse, R & Sibbertsen, P 2013, A Simple Specification Procedure for the Transition Function in Persistent Nonlinear Time Series Models. in Recent Advances in Estimating Nonlinear Models: With Applications in Economics and Finance. vol. 9781461480600, Springer New York, pp. 169-191. https://doi.org/10.1007/978-1-4614-8060-0_9
Kaufmann, H., Kruse, R., & Sibbertsen, P. (2013). A Simple Specification Procedure for the Transition Function in Persistent Nonlinear Time Series Models. In Recent Advances in Estimating Nonlinear Models: With Applications in Economics and Finance (Vol. 9781461480600, pp. 169-191). Springer New York. https://doi.org/10.1007/978-1-4614-8060-0_9
Kaufmann H, Kruse R, Sibbertsen P. A Simple Specification Procedure for the Transition Function in Persistent Nonlinear Time Series Models. In Recent Advances in Estimating Nonlinear Models: With Applications in Economics and Finance. Vol. 9781461480600. Springer New York. 2013. p. 169-191 Epub 2013 Jan 1. doi: 10.1007/978-1-4614-8060-0_9
Kaufmann, Hendrik ; Kruse, Robinson ; Sibbertsen, Philipp. / A Simple Specification Procedure for the Transition Function in Persistent Nonlinear Time Series Models. Recent Advances in Estimating Nonlinear Models: With Applications in Economics and Finance. Vol. 9781461480600 Springer New York, 2013. pp. 169-191
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