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ARCH and Bilinearity as Competing Models for Nonlinear Dependence

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Author Info
Bera, Anil K
Higgins, Matthew L

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Abstract

This paper consider whether the wide acceptance of ARCH models may be at the expense of other nonlinear processes, such as bilinear models. The authors first pose a joint test for ARCH and bilinearity. A nonnested test is then suggested. The tests are then applied to three series. When GARCH models are taken as the null hypothesis, the authors fail to reject it. However, when bilinearity is taken as the null, it is rejected in two cases. Also, an out-of-sample forecasting exercise shows that the GARCH model is superior. The results, therefore, indicate a strong preference for the GARCH model.

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Publisher Info
Article provided by American Statistical Association in its journal Journal of Business and Economic Statistics.

Volume (Year): 15 (1997)
Issue (Month): 1 (January)
Pages: 43-50
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Handle: RePEc:bes:jnlbes:v:15:y:1997:i:1:p:43-50

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  1. Carlos Velasco & Ignacio N. Lobato, 2004. "A simple and general test for white noise," Econometric Society 2004 Latin American Meetings 112, Econometric Society. [Downloadable!]
  2. Ravikumar, B. & Ray, Surajit & Savin, N.E., 1999. "CAPM Reconsidered: A Robust Finite Sample Evaluation," Working Papers 99-04, University of Iowa, Department of Economics. [Downloadable!]
  3. Charemza W.W. & M. Lifshits & S. Makarova, 2002. "Conditional testing for unit-root bilinearity in financial time series: some theoretical and empirical results," Computing in Economics and Finance 2002 251, Society for Computational Economics. [Downloadable!]
    Other versions:
  4. Manuel A. Dominguez & Ignacio N. Lobato, 2001. "A Consistent Test for the Martingale Difference Hypothesis," Working Papers 0101, Centro de Investigacion Economica, ITAM. [Downloadable!]
  5. Juan Carlos Escanciano, 2006. "Joint Diagnostic Tests for Conditional Mean and Variance Specifications," Faculty Working Papers 02/06, School of Economics and Business Administration, University of Navarra. [Downloadable!]
  6. Chris Brooks & Simon Burke, 2003. "Information criteria for GARCH model selection," European Journal of Finance, Taylor and Francis Journals, vol. 9(6), pages 557-580, December. [Downloadable!] (restricted)
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This page was last updated on 2009-10-27.


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