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On Jarque–Bera normality and cusum parameter change tests for BCTT-GARCH models

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  • Lee, Taewook

Abstract

In this paper, we study the Jarque–Bera (JB) and cusum tests for the normality of innovations and parameter change in BCTT-GARCH models. In order to demonstrate the validity of JB normality and cusum parameter change tests, we derive their limiting null distributions under mild conditions.

Suggested Citation

  • Lee, Taewook, 2013. "On Jarque–Bera normality and cusum parameter change tests for BCTT-GARCH models," Economics Letters, Elsevier, vol. 119(1), pages 50-54.
    • Handle: RePEc:eee:ecolet:v:119:y:2013:i:1:p:50-54
    DOI: 10.1016/j.econlet.2013.01.013
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    References listed on IDEAS

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    1. Sangyeol Lee & Taewook Lee, 2012. "Inference for Box–Cox Transformed Threshold GARCH Models with Nuisance Parameters," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 39(3), pages 568-589, September.
    2. Sangyeol Lee & Jeongcheol Ha & Okyoung Na & Seongryong Na, 2003. "The Cusum Test for Parameter Change in Time Series Models," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 30(4), pages 781-796, December.
    3. Pan, Jiazhu & Wang, Hui & Tong, Howell, 2008. "Estimation and tests for power-transformed and threshold GARCH models," Journal of Econometrics, Elsevier, vol. 142(1), pages 352-378, January.
    4. Li, C W & Li, W K, 1996. "On a Double-Threshold Autoregressive Heteroscedastic Time Series Model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(3), pages 253-274, May-June.
    5. Zakoian, Jean-Michel, 1994. "Threshold heteroskedastic models," Journal of Economic Dynamics and Control, Elsevier, vol. 18(5), pages 931-955, September.
    6. Hwang, S. Y. & Basawa, I. V., 2004. "Stationarity and moment structure for Box-Cox transformed threshold GARCH(1,1) processes," Statistics & Probability Letters, Elsevier, vol. 68(3), pages 209-220, July.
    7. Jarque, Carlos M. & Bera, Anil K., 1980. "Efficient tests for normality, homoscedasticity and serial independence of regression residuals," Economics Letters, Elsevier, vol. 6(3), pages 255-259.
    8. Bera, Anil K. & Jarque, Carlos M., 1981. "Efficient tests for normality, homoscedasticity and serial independence of regression residuals : Monte Carlo Evidence," Economics Letters, Elsevier, vol. 7(4), pages 313-318.
    9. Yi-Ting Chen & Chung-Ming Kuan, 2003. "A Generalized Jarque-Bera Test of Conditional Normality," IEAS Working Paper : academic research 03-A003, Institute of Economics, Academia Sinica, Taipei, Taiwan.
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    More about this item

    Keywords

    Parameter change; Cusum test; Jarque–Bera test; Normality test; Threshold GARCH model;
    All these keywords.

    JEL classification:

    • C2 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables
    • C4 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics
    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General

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