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A Test For Conditional Heteroskedasticity In Time Series Models

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  • A. K. Bera
  • M. L. Higgins

Abstract

. When testing for conditional heteroskedasticity and nonlinearity, the power of the test in general depends on the functional forms of conditional heteroskedasticity and nonlinearity that are allowed under the alternative hypothesis. We suggest a test for conditional heteroskedasticity and nonlinearity with the nonlinear autoregressive conditional heteroskedasticity model of Higgins and Bera as the alternative. Standard testing procedures are not applicable since our nonlinear autoregressive conditional heteroskedasticity (ARCH) parameter is not identified under the null hypothesis. To resolve this problem, we apply the procedure recently proposed by Davies. Power and size of the suggested test are investigated through simulation, and an empirical application of testing for ARCH in exchange rates is also discussed.

Suggested Citation

  • A. K. Bera & M. L. Higgins, 1992. "A Test For Conditional Heteroskedasticity In Time Series Models," Journal of Time Series Analysis, Wiley Blackwell, vol. 13(6), pages 501-519, November.
    • Handle: RePEc:bla:jtsera:v:13:y:1992:i:6:p:501-519
    DOI: 10.1111/j.1467-9892.1992.tb00123.x
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    Cited by:

    1. Lu, Zudi, 1996. "A note on geometric ergodicity of autoregressive conditional heteroscedasticity (ARCH) model," Statistics & Probability Letters, Elsevier, vol. 30(4), pages 305-311, November.
    2. Farruggio, Christian & Michalak, Tobias C. & Uhde, Andre, 2013. "The light and dark side of TARP," Journal of Banking & Finance, Elsevier, vol. 37(7), pages 2586-2604.
    3. Siani, Carole & de Peretti, Christian, 2007. "Analysing the performance of bootstrap neural tests for conditional heteroskedasticity in ARCH-M models," Computational Statistics & Data Analysis, Elsevier, vol. 51(5), pages 2442-2460, February.
    4. Duchesne, Pierre, 2006. "Testing for multivariate autoregressive conditional heteroskedasticity using wavelets," Computational Statistics & Data Analysis, Elsevier, vol. 51(4), pages 2142-2163, December.
    5. Alizadeh, Amir H. & Gabrielsen, Alexandros, 2013. "Dynamics of credit spread moments of European corporate bond indexes," Journal of Banking & Finance, Elsevier, vol. 37(8), pages 3125-3144.
    6. Anil K. Bera & Philip Garcia & Jae-Sun Roh, 1997. "Estimation of Time-Varying Hedge Ratios for Corn and Soybeans: BGARCH and Random Coefficient Approaches," Finance 9712007, University Library of Munich, Germany.
    7. Li, Haiqi & Kim, Hyung-Gun & Park, Sung Y., 2015. "The role of financial speculation in the energy future markets: A new time-varying coefficient approach," Economic Modelling, Elsevier, vol. 51(C), pages 112-122.
    8. Jin Lee, 2000. "One-Sided Testing for ARCH Effect Using Wavelets," Econometric Society World Congress 2000 Contributed Papers 1214, Econometric Society.

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