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Nonparametric model check based on local polynomial fitting

Author

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  • Liu, Zhenjun
  • Stengos, Thanasis
  • Li, Qi

Abstract

In this paper we propose a consistent model specification test based on local polynomial fitting. The Monte Carlo simulations show that the new test performs favorably with the existing local constant kernel tests.

Suggested Citation

  • Liu, Zhenjun & Stengos, Thanasis & Li, Qi, 2000. "Nonparametric model check based on local polynomial fitting," Statistics & Probability Letters, Elsevier, vol. 48(4), pages 327-334, July.
    • Handle: RePEc:eee:stapro:v:48:y:2000:i:4:p:327-334
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    References listed on IDEAS

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    1. Wooldridge, Jeffrey M., 1992. "A Test for Functional Form Against Nonparametric Alternatives," Econometric Theory, Cambridge University Press, vol. 8(4), pages 452-475, December.
    2. Herman J. Bierens & Werner Ploberger, 1997. "Asymptotic Theory of Integrated Conditional Moment Tests," Econometrica, Econometric Society, vol. 65(5), pages 1129-1152, September.
    3. 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.
    4. P. M. Robinson, 1989. "Hypothesis Testing in Semiparametric and Nonparametric Models for Econometric Time Series," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(4), pages 511-534.
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    6. Hall, Peter, 1984. "Central limit theorem for integrated square error of multivariate nonparametric density estimators," Journal of Multivariate Analysis, Elsevier, vol. 14(1), pages 1-16, February.
    7. 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.
    8. Elias Masry, 1996. "Multivariate Local Polynomial Regression For Time Series:Uniform Strong Consistency And Rates," Journal of Time Series Analysis, Wiley Blackwell, vol. 17(6), pages 571-599, November.
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    Cited by:

    1. Wenceslao González-Manteiga & Rosa Crujeiras, 2013. "An updated review of Goodness-of-Fit tests for regression models," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(3), pages 361-411, September.
    2. Mohamad A. Khaled & Paul Makdissi & Rami V. Tabri & Myra Yazbeck, 2018. "A framework for testing the equality between the health concentration curve and the 45‐degree line," Health Economics, John Wiley & Sons, Ltd., vol. 27(5), pages 887-896, May.
    3. Gijbels, Irène & Omelka, Marek & Veraverbeke, Noël, 2021. "Omnibus test for covariate effects in conditional copula models," Journal of Multivariate Analysis, Elsevier, vol. 186(C).
    4. Zhongwen Liang & Zhongjian Lin & Cheng Hsiao, 2015. "Local Linear Estimation of a Nonparametric Cointegration Model," Econometric Reviews, Taylor & Francis Journals, vol. 34(6-10), pages 882-906, December.
    5. Jingping Gu & Qi Li & Jui-Chung Yang, 2015. "Multivariate Local Polynomial Kernel Estimators: Leading Bias and Asymptotic Distribution," Econometric Reviews, Taylor & Francis Journals, vol. 34(6-10), pages 979-1010, December.
    6. Qi Li & Jeffrey Scott Racine, 2006. "Nonparametric Econometrics: Theory and Practice," Economics Books, Princeton University Press, edition 1, volume 1, number 8355.

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