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The Effect of (Mis-Specified) GARCH Filters on the Finite Sample Distribution of the BDS Test

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  • Brooks, Chris
  • Heravi, Saeed M

Abstract

This paper considers the effect of using a GARCH filter on the properties of the BDS test statistic as well as a number of other issues relating to the application of the test. It is found that, for certain values of the user-adjustable parameters, the finite sample distribution of the test is far-removed from asymptotic normality. In particular, when data generated from some completely different model class are filtered through a GARCH model, the frequency of rejection of iid falls, often substantially. The implication of this result is that it might be inappropriate to use non-rejection of iid of the standardised residuals of a GARCH model as evidence that the GARCH model 'fits' the data. Citation Copyright 1999 by Kluwer Academic Publishers.

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Bibliographic Info

Article provided by Society for Computational Economics in its journal Computational Economics.

Volume (Year): 13 (1999)
Issue (Month): 2 (April)
Pages: 147-62

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Handle: RePEc:kap:compec:v:13:y:1999:i:2:p:147-62

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Web page: http://www.springerlink.com/link.asp?id=100248
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Cited by:
  1. Brooks, C. & Henry, O.T., 1999. "Linear and Non-Linear Transmission of Equity Return Volatility: Evidence From the US, Japan, and Australia," Department of Economics - Working Papers Series 676, The University of Melbourne.
  2. Guglielmo Maria Caporale & Christos Ntantamis & Theologos Pantelidis & Nikitas Pittis, 2004. "The Bds Test As A Test For The Adequacy Of A Garch(1,1) Specification: A Monte Carlo Study," Economics and Finance Discussion Papers 04-14, Economics and Finance Section, School of Social Sciences, Brunel University.
  3. Dungey, Mardi & Milunovich, George & Thorp, Susan, 2010. "Unobservable shocks as carriers of contagion," Journal of Banking & Finance, Elsevier, vol. 34(5), pages 1008-1021, May.
  4. Theodore Panagiotidis, 2002. "Testing the assumption of Linearity," Economics Bulletin, AccessEcon, vol. 3(29), pages 1-9.
  5. Paul Alagidede & Theodore Panagiotidis, 2009. "Modelling stock returns in Africa’s emerging equity markets," Discussion Paper Series 2009_01, Department of Economics, University of Macedonia, revised Jan 2009.
  6. Geoff Willcocks, 2009. "UK Housing Market: Time Series Processes with Independent and Identically Distributed Residuals," The Journal of Real Estate Finance and Economics, Springer, vol. 39(4), pages 403-414, November.
  7. Yi-Ting Chen & Chung-Ming Kuan, 2002. "Time irreversibility and EGARCH effects in US stock index returns," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 17(5), pages 565-578.
  8. K.P. Lim & M.J. Hinich & K.S. Liew, 2003. "GARCH Diagnosis with Portmanteau Bicorrelation Test: An Application on the Malaysia's Stock Market," Finance 0307013, EconWPA.
  9. Theodore Panagiotidis, 2005. "Market capitalization and efficiency. Does it matter? Evidence from the Athens Stock Exchange," Applied Financial Economics, Taylor and Francis Journals, vol. 15(10), pages 707-713.
  10. Evzen Kocenda & Lubos Briatka, 2004. "Advancing the iid Test Based on Integration across the Correlation Integral: Ranges, Competition, and Power," CERGE-EI Working Papers wp235, The Center for Economic Research and Graduate Education - Economic Institute, Prague.
  11. Brooks, C. & Henry, O.T., 1999. "Can Portemanteau Nonlinearity Tests Serve as General Mis-Specification Tests? Evidence from Symmetric and Asymmetric GARCH Models," Department of Economics - Working Papers Series 723, The University of Melbourne.

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