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A Monte Carlo Study of Time Varying Coefficient (TVC) Estimation

Author

Listed:
  • Stephen G. Hall

    (University of Leicester
    Bank of Greece)

  • Heather D. Gibson

    (Bank of Greece)

  • G. S. Tavlas

    (University of Leicester
    Bank of Greece)

  • Mike G. Tsionas

    (Lancaster University
    Athens University of Economics and Business)

Abstract

A number of recent papers have proposed a time-varying-coefficient (TVC) procedure that, in theory, yields consistent parameter estimates in the presence of measurement errors, omitted variables, incorrect functional forms, and simultaneity. The key element of the procedure is the selection of a set of driver variables. With an ideal driver set the procedure is both consistent and efficient. However, in practice it is not possible to know if a perfect driver set exists. We construct a number of Monte Carlo experiments to examine the performance of the methodology under (i) clearly-defined conditions and (ii) a range of model misspecifications. We also propose a new Bayesian search technique for the set of driver variables underlying the TVC methodology. Experiments are performed to allow for incorrectly specified functional form, omitted variables, measurement errors, unknown nonlinearity and endogeneity. In all cases except the last, the technique works well in reasonably small samples.

Suggested Citation

  • Stephen G. Hall & Heather D. Gibson & G. S. Tavlas & Mike G. Tsionas, 2020. "A Monte Carlo Study of Time Varying Coefficient (TVC) Estimation," Computational Economics, Springer;Society for Computational Economics, vol. 56(1), pages 115-130, June.
    • Handle: RePEc:kap:compec:v:56:y:2020:i:1:d:10.1007_s10614-018-9878-6
    DOI: 10.1007/s10614-018-9878-6
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    References listed on IDEAS

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    1. Stephen Hall & P. Swamy & George Tavlas, 2012. "Generalized cointegration: a new concept with an application to health expenditure and health outcomes," Empirical Economics, Springer, vol. 42(2), pages 603-618, April.
    2. Swamy P. A. V. B. & Tavlas George S & Hall Stephen G. F. & Hondroyiannis George, 2010. "Estimation of Parameters in the Presence of Model Misspecification and Measurement Error," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 14(3), pages 1-35, May.
    3. Bai, Jushan & Ng, Serena, 2010. "Instrumental Variable Estimation In A Data Rich Environment," Econometric Theory, Cambridge University Press, vol. 26(6), pages 1577-1606, December.
    4. Hall, Stephen G. & Hondroyiannis, George & Kenjegaliev, Amangeldi & Swamy, P.A.V.B. & Tavlas, George S., 2013. "Is the relationship between prices and exchange rates homogeneous?," Journal of International Money and Finance, Elsevier, vol. 37(C), pages 411-438.
    5. Stephen G. Hall & George Hondroyiannis & P.A.V.B. Swamy & George S. Tavlas, 2009. "Where Has All the Money Gone? Wealth and the Demand for Money in South Africa †," Journal of African Economies, Centre for the Study of African Economies, vol. 18(1), pages 84-112, January.
    6. Hall, Stephen G. & Swamy, P.A.V.B. & Tavlas, George S., 2015. "A Note On Generalizing The Concept Of Cointegration," Macroeconomic Dynamics, Cambridge University Press, vol. 19(7), pages 1633-1646, October.
    7. P. Swamy & I-Lok Chang & Jatinder Mehta & George Tavlas, 2003. "Correcting for Omitted-Variable and Measurement-Error Bias in Autoregressive Model Estimation with Panel Data," Computational Economics, Springer;Society for Computational Economics, vol. 22(2), pages 225-253, October.
    8. Jochmann, Markus & Koop, Gary & Strachan, Rodney W., 2010. "Bayesian forecasting using stochastic search variable selection in a VAR subject to breaks," International Journal of Forecasting, Elsevier, vol. 26(2), pages 326-347, April.
    9. Hall, Stephen G. & Swamy, P. A. V. B. & Tavlas, George S., 2017. "Time-Varying Coefficient Models: A Proposal For Selecting The Coefficient Driver Sets," Macroeconomic Dynamics, Cambridge University Press, vol. 21(5), pages 1158-1174, July.
    10. Granger Clive W.J., 2008. "Non-Linear Models: Where Do We Go Next - Time Varying Parameter Models?," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 12(3), pages 1-11, September.
    11. Hall Stephen G. & Kenjegaliev Amangeldi & Swamy P. A. V. B. & Tavlas George S., 2013. "The forward rate premium puzzle: a case of misspecification?1)," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 17(3), pages 265-279, May.
    12. Mark Girolami & Ben Calderhead, 2011. "Riemann manifold Langevin and Hamiltonian Monte Carlo methods," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 73(2), pages 123-214, March.
    13. Stephen Hall & George Hondroyiannis & P. Swamy & George Tavlas, 2010. "The Fisher Effect Puzzle: A Case of Non-Linear Relationship?," Open Economies Review, Springer, vol. 21(1), pages 91-103, February.
    14. Hall, Stephen G. & Kenjegaliev, Amangeldi & Swamy, P.A.V.B. & Tavlas, George S., 2013. "Measuring currency pressures: The cases of the Japanese yen, the Chinese yuan, and the UK pound," Journal of the Japanese and International Economies, Elsevier, vol. 29(C), pages 1-20.
    15. George, Edward I. & Sun, Dongchu & Ni, Shawn, 2008. "Bayesian stochastic search for VAR model restrictions," Journal of Econometrics, Elsevier, vol. 142(1), pages 553-580, January.
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    More about this item

    Keywords

    Time-varying coefficients; Specification errors; Monte Carlo;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C19 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Other
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes

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