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Testing for co-nonlinearity

Author

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  • Hungnes Håvard

    (Research Department, Statistics Norway, P.O.B. 8131 Dep, N-0033 Oslo, Norway)

Abstract

This article introduces the concept of co-nonlinearity. Co-nonlinearity is an example of a common feature in time series [Engle, Robert F., and Sharon Kozicki. 1993. “Testing for Common Features.” Journal of Business & Economic Statistics 11 (4): 369–380] and an extension of the concept of common nonlinear components [Anderson, Heather M., and Farshid Vahid. 1998. “Testing Multiple Equation Systems for Common Nonlinear Components.” Journal of Econometrics 84 (1): 1–36]. If some time series follow a nonlinear process but where a linear relationship between the levels of these series removes the nonlinearity, such a relationship is defined as co-nonlinear. In this article I show how to determine the number of such co-nonlinear relationships. Furthermore, I show how to formulate hypothesis tests on the co-nonlinear relationships in a full maximum likelihood framework. The framework for identifying co-nonlinear relationships is illustrated in a system of Norwegian interest rates.

Suggested Citation

  • Hungnes Håvard, 2015. "Testing for co-nonlinearity," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 19(3), pages 339-353, June.
    • Handle: RePEc:bpj:sndecm:v:19:y:2015:i:3:p:339-353:n:2
    DOI: 10.1515/snde-2013-0092
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    1. González Andrés & Teräsvirta Timo, 2008. "Modelling Autoregressive Processes with a Shifting Mean," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 12(1), pages 1-28, March.
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    1. Boug, Pål & Brasch, Thomas von & Cappelen, Ådne & Hammersland, Roger & Hungnes, Håvard & Kolsrud, Dag & Skretting, Julia & Strøm, Birger & Vigtel, Trond C., 2023. "Fiscal policy, macroeconomic performance and industry structure in a small open economy," Journal of Macroeconomics, Elsevier, vol. 76(C).
    2. Kirstin Hubrich & Timo Teräsvirta, 2013. "Thresholds and Smooth Transitions in Vector Autoregressive Models," CREATES Research Papers 2013-18, Department of Economics and Business Economics, Aarhus University.

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    More about this item

    Keywords

    common features; nonlinearity; reduced-rank regression;
    All these keywords.

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects

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