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Goodness-Of-Fit Test For Nonlinear Time Series Models

Author

Listed:
  • NGAI SZE HAN

    (Hong Kong Examinations and Assessment Authority, Hong Kong)

  • SHIQING LING

    (#x2020;Hong Kong University of Science and Technology, Department of Mathematics, Clear Water Bay, Hong Kong)

Abstract

Many time series models have been used extensively in modeling economic and financial data. However, it is difficult to determine the functional forms of the conditional mean and conditional variance in these models. In this paper, a test statistic based on the squared conditional residuals is proposed for testing these functional forms, and the asymptotic distribution of the test statistic is obtained. The test statistic is applicable not only to the family of GARCH models but also to other nonlinear time series models. Simulation results show that the proposed tests are powerful and have reasonable sizes. Two real examples are also given to illustrate our theory.

Suggested Citation

  • Ngai Sze Han & Shiqing Ling, 2017. "Goodness-Of-Fit Test For Nonlinear Time Series Models," Annals of Financial Economics (AFE), World Scientific Publishing Co. Pte. Ltd., vol. 12(02), pages 1-21, June.
    • Handle: RePEc:wsi:afexxx:v:12:y:2017:i:02:n:s2010495217500063
    DOI: 10.1142/S2010495217500063
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    References listed on IDEAS

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