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Neural Network Test and Nonparametric Kernel Test for Neglected Nonlinearity in Regression Models

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Author Info
Tae-Hwy Lee (University of California, Riverside)
Abstract

This article considers two conditional moment tests for neglected nonlinearity in regression models and examines their finite sample performance. The two tests are the nonparametric kernel test by Li and Wang (1998) and Zheng (1996) and the neural network test of White (1989). The article examines an asymptotic test, a naive bootstrap test, and a wild bootstrap test for weakly dependent time series and independent data.

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Publisher Info
Article provided by Berkeley Electronic Press in its journal Studies in Nonlinear Dynamics & Econometrics.

Volume (Year): 4 (2001)
Issue (Month): 4 ()
Pages: 1063-1063
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Handle: RePEc:bep:sndecm:4:2001:4:1063-1063

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Related research
Keywords: asymptotic test conditional bootstrap naive bootstrap recursive bootstrap wild bootstrap

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Weiss, Andrew A, 1986. "ARCH and Bilinear Time Series Models: Comparison and Combination," Journal of Business & Economic Statistics, American Statistical Association, vol. 4(1), pages 59-70, January.
  2. Stengos, T. & Sun, Y., 1997. "Consistent Model Specification test for Regression Function Based on Nonparametric Wavelet Estimation," Working Papers 1997-3, University of Guelph, Department of Economics.
  3. Teräsvirta, Timo, 1996. "Power Properties of Linearity Tests for Time Series," Working Paper Series in Economics and Finance 94, Stockholm School of Economics.
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  4. Tauchen, George, 1985. "Diagnostic testing and evaluation of maximum likelihood models," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 415-443. [Downloadable!] (restricted)
  5. Davidson, Russell & MacKinnon, James G., 1999. "The Size Distortion Of Bootstrap Tests," Econometric Theory, Cambridge University Press, vol. 15(03), pages 361-376, June. [Downloadable!]
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  6. John Xu Zheng, 1996. "A consistent test of functional form via nonparametric estimation techniques," Journal of Econometrics, Elsevier, vol. 75(2), pages 263-289, December. [Downloadable!] (restricted)
  7. Herman J. Bierens & Werner Ploberger, 1997. "Asymptotic Theory of Integrated Conditional Moment Tests," Econometrica, Econometric Society, vol. 65(5), pages 1129-1152, September.
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  8. Bera, Anil K & Higgins, Matthew L, 1997. "ARCH and Bilinearity as Competing Models for Nonlinear Dependence," Journal of Business & Economic Statistics, American Statistical Association, vol. 15(1), pages 43-50, January.
  9. Hong, Yongmiao & White, Halbert, 1995. "Consistent Specification Testing via Nonparametric Series Regression," Econometrica, Econometric Society, vol. 63(5), pages 1133-59, September. [Downloadable!] (restricted)
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  10. Whang, Yoon-Jae, 2000. "Consistent bootstrap tests of parametric regression functions," Journal of Econometrics, Elsevier, vol. 98(1), pages 27-46, September. [Downloadable!] (restricted)
  11. Ralph Bradley & Robert McClelland, 1996. "A Kernel Test for Neglected Nonlinearity," Studies in Nonlinear Dynamics & Econometrics, Berkeley Electronic Press, vol. 1(2), pages 119-130. [Downloadable!] (restricted)
  12. Blake, Andrew P. & Kapetanios, George, 2000. "A radial basis function artificial neural network test for ARCH," Economics Letters, Elsevier, vol. 69(1), pages 15-23, October. [Downloadable!] (restricted)
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  13. Li, Qi, 1999. "Consistent model specification tests for time series econometric models," Journal of Econometrics, Elsevier, vol. 92(1), pages 101-147, September. [Downloadable!] (restricted)
  14. White, Halbert, 1980. "A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity," Econometrica, Econometric Society, vol. 48(4), pages 817-38, May. [Downloadable!] (restricted)
  15. Hamilton, James D, 2001. "A Parametric Approach to Flexible Nonlinear Inference," Econometrica, Econometric Society, vol. 69(3), pages 537-73, May.
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  16. Newey, Whitney K, 1985. "Maximum Likelihood Specification Testing and Conditional Moment Tests," Econometrica, Econometric Society, vol. 53(5), pages 1047-70, September. [Downloadable!] (restricted)
  17. Fan, Yanqin & Li, Qi, 1996. "Consistent Model Specification Tests: Omitted Variables and Semiparametric Functional Forms," Econometrica, Econometric Society, vol. 64(4), pages 865-90, July. [Downloadable!] (restricted)
  18. Li, Q. & Wang, Suojin, 1998. "A simple consistent bootstrap test for a parametric regression function," Journal of Econometrics, Elsevier, vol. 87(1), pages 145-165, August. [Downloadable!] (restricted)
  19. Christian M. Dahl, . "An Investigation of Tests for Linearity and the Accuracy of Flexible Nonlinear Inference," Economics Working Papers 1999-8, School of Economics and Management, University of Aarhus. [Downloadable!]
  20. Stinchcombe, Maxwell B. & White, Halbert, 1998. "Consistent Specification Testing With Nuisance Parameters Present Only Under The Alternative," Econometric Theory, Cambridge University Press, vol. 14(03), pages 295-325, June. [Downloadable!]
  21. Bierens, Herman J, 1990. "A Consistent Conditional Moment Test of Functional Form," Econometrica, Econometric Society, vol. 58(6), pages 1443-58, November. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Mototsugu Shintani, 2003. "Nonlinear Forecasting Analysis Using Diffusion Indexes: An Application to Japan," Working Papers 0322, Department of Economics, Vanderbilt University, revised Apr 2004. [Downloadable!]
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