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Performance of control charts for autoregressive conditional heteroscedastic processes

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  • Yue Fang
  • John Zhang
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    Abstract

    This paper examines the robustness of control schemes to data conditional heteroscedasticity. Overall, the results show that the control schemes which do not account for heteroscedasticity fail in providing reliable information on the status of the process. Consequently, incorrect conclusions will be drawn by applying these procedures in the presence of data conditional heteroscedasticity. Control charts with time-varying control limits are shown to be useful in that context.

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    File URL: http://www.tandfonline.com/doi/abs/10.1080/02664769922142
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    Bibliographic Info

    Article provided by Taylor and Francis Journals in its journal Journal of Applied Statistics.

    Volume (Year): 26 (1999)
    Issue (Month): 6 ()
    Pages: 701-714

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    Handle: RePEc:taf:japsta:v:26:y:1999:i:6:p:701-714

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    1. E.K. Berndt & B.H. Hall & R.E. Hall, 1974. "Estimation and Inference in Nonlinear Structural Models," NBER Chapters, in: Annals of Economic and Social Measurement, Volume 3, number 4, pages 103-116 National Bureau of Economic Research, Inc.
    2. De Gooijer, Jan G. & Kumar, Kuldeep, 1992. "Some recent developments in non-linear time series modelling, testing, and forecasting," International Journal of Forecasting, Elsevier, vol. 8(2), pages 135-156, October.
    3. Alwan, Layth C & Roberts, Harry V, 1988. "Time-Series Modeling for Statistical Process Control," Journal of Business & Economic Statistics, American Statistical Association, vol. 6(1), pages 87-95, January.
    4. Cuthbertson, Keith & Gasparro, David, 1993. "The Determinants of Manufacturing Inventories in the UK," Economic Journal, Royal Economic Society, vol. 103(421), pages 1479-92, November.
    5. Bollerslev, Tim & Engle, Robert F. & Nelson, Daniel B., 1986. "Arch models," Handbook of Econometrics, in: R. F. Engle & D. McFadden (ed.), Handbook of Econometrics, edition 1, volume 4, chapter 49, pages 2959-3038 Elsevier.
    6. 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.
    7. Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April.
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