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Arch model with Box-Cox transformed dependent variable

Listed author(s):
  • Sarkar, Nityananda
Registered author(s):

    Box-Cox power transformation has been used traditionally to linearise otherwise nonlinear models. In this paper, Engle's linear ARCH specification is considered for a regression model in which the dependent variable is Box-Cox transformed. The consequent issues arising in both testing and estimation of the model are investigated. A Lagrange multiplier test is also developed to test Engle's linear ARCH model against this wider class of models. The usefulness of this generalisation is examined by applying it to the daily closing prices on the Bombay Stock Exchange Sensitive Index, and the findings strongly favour the proposed model.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0167-7152(00)00117-6
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    Article provided by Elsevier in its journal Statistics & Probability Letters.

    Volume (Year): 50 (2000)
    Issue (Month): 4 (December)
    Pages: 365-374

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    Handle: RePEc:eee:stapro:v:50:y:2000:i:4:p:365-374
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    1. Scheinkman, Jose A & LeBaron, Blake, 1989. "Nonlinear Dynamics and Stock Returns," The Journal of Business, University of Chicago Press, vol. 62(3), pages 311-337, July.
    2. Lahiri, Kajal & Egy, Daniel, 1981. "Joint estimation and testing for functional form and heteroskedasticity," Journal of Econometrics, Elsevier, vol. 15(2), pages 299-307, February.
    3. Hentschel, Ludger, 1995. "All in the family Nesting symmetric and asymmetric GARCH models," Journal of Financial Economics, Elsevier, vol. 39(1), pages 71-104, September.
    4. Ernst R. Berndt & Bronwyn H. Hall & Robert E. Hall & Jerry A. Hausman, 1974. "Estimation and Inference in Nonlinear Structural Models," NBER Chapters,in: Annals of Economic and Social Measurement, Volume 3, number 4, pages 653-665 National Bureau of Economic Research, Inc.
    5. Russell Davidson & James G. MacKinnon, 1985. "Testing Linear and Loglinear Regressions against Box-Cox Alternatives," Canadian Journal of Economics, Canadian Economics Association, vol. 18(3), pages 499-517, August.
    6. Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April.
    7. Higgins, Matthew L & Bera, Anil K, 1992. "A Class of Nonlinear ARCH Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 33(1), pages 137-158, February.
    8. Nelson, Harold Jr. & Granger, C. W. J., 1979. "Experience with using the Box-Cox transformation when forecasting economic time series," Journal of Econometrics, Elsevier, vol. 10(1), pages 57-69, April.
    9. Granger, C. W. J. & Newbold, Paul, 1986. "Forecasting Economic Time Series," Elsevier Monographs, Elsevier, edition 2, number 9780122951831 edited by Shell, Karl.
    10. anonymous, 1986. "Extension of period for comment," Federal Reserve Bulletin, Board of Governors of the Federal Reserve System (U.S.), issue Mar, pages 194-194.
    11. Engle, Robert F, 1982. "Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation," Econometrica, Econometric Society, vol. 50(4), pages 987-1007, July.
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