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Cointegrating Polynomial Regressions

Author

Listed:
  • Hong, Seung Hyun

    (Korea Institute of Public Finance, Seoul, Korea)

  • Wagner, Martin

    (Department of Economics and Finance, Institute for Advanced Studies, Vienna, Austria)

Abstract

This paper develops a fully modified OLS estimator for cointegrating polynomial regressions, i.e. for regressions including deterministic variables, integrated processes and powers of integrated processes as explanatory variables and stationary errors. The errors are allowed to be serially correlated and the regressors are allowed to be endogenous. The paper thus extends the fully modified approach developed in Phillips and Hansen (1990). The FM-OLS estimator has a zero mean Gaussian mixture limiting distribution, which is the basis for standard asymptotic inference. In addition Wald and LM tests for specification as well as a KPSS-type test for cointegration are derived. The theoretical analysis is complemented by a simulation study which shows that the developed FM-OLS estimator and tests based upon it perform well in the sense that the performance advantages over OLS are by and large similar to the performance advantages of FM-OLS over OLS in cointegrating regressions.

Suggested Citation

  • Hong, Seung Hyun & Wagner, Martin, 2011. "Cointegrating Polynomial Regressions," Economics Series 264, Institute for Advanced Studies.
    • Handle: RePEc:ihs:ihsesp:264
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    File URL: https://irihs.ihs.ac.at/id/eprint/2047
    File Function: First version, 2011
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    References listed on IDEAS

    as
    1. Robert de Jong, 2004. "Nonlinear estimators with integrated regressors but without exogeneity," Econometric Society 2004 North American Winter Meetings 324, Econometric Society.
    2. Berenguer Rico, Vanessa, 2011. "Summability of stochastic processes: a generalization of integration and co-integration valid for non-linear processes," UC3M Working papers. Economics we1115, Universidad Carlos III de Madrid. Departamento de Economía.
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    Cited by:

    1. SANDRI, Serena & ALSHYAB, Nooh & GHAZO, Abdullah, 2016. "Trade In Goods And Services And Its Effect On Economic Growth –The Case Of Jordan," Applied Econometrics and International Development, Euro-American Association of Economic Development, vol. 16(2), pages 113-128.
    2. Shota Moriwaki, 2017. "Sustainable Development in Four East Asian Countries' Agricultural Sectors Post-World War II: Measuring Nutrient Balance and Estimating the Environmental Kuznets Curve," Asia and the Pacific Policy Studies, Wiley Blackwell, vol. 4(3), pages 467-483, September.
    3. Wagner, Martin, 2012. "The Phillips unit root tests for polynomials of integrated processes," Economics Letters, Elsevier, vol. 114(3), pages 299-303.
    4. Heru Wahyudi & Widia Anggi Palupi, 2023. "Natural Resources Curse in Indonesia," International Journal of Energy Economics and Policy, Econjournals, vol. 13(2), pages 349-356, March.

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    More about this item

    Keywords

    Cointegrating polynomial regression; fully modified OLS estimation; integrated process; testing;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • 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

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