Testing for ARCH in the Presence of Nonlinearity of Unknown Form in the Conditional Mean
AbstractTests of ARCH are a routine diagnostic in empirical econometric and financial analysis. However, it is well known that misspecification of the conditional mean may lead to spurious rejections of the null hypothesis of no ARCH. Nonlinearity is a prime example of this phenomenon. There is little work on the extent of the effect of neglected nonlinearity on the properties of ARCH tests. This paper provides some such evidence and also new ARCH testing procedures that are robust to the presence of neglected nonlinearity. Monte Carlo evidence shows that the problem is serious and that the new methods alleviate this problem to a very large extent.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Queen Mary, University of London, School of Economics and Finance in its series Working Papers with number 496.
Date of creation: Jul 2003
Date of revision:
Nonlinearity; ARCH; Neural networks;
Other versions of this item:
- Blake, Andrew P. & Kapetanios, George, 2007. "Testing for ARCH in the presence of nonlinearity of unknown form in the conditional mean," Journal of Econometrics, Elsevier, vol. 137(2), pages 472-488, April.
- C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
- C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models &bull Diffusion Processes
- C45 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Neural Networks and Related Topics
This paper has been announced in the following NEP Reports:
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Bera, Anil K & Higgins, Matthew L & Lee, Sangkyu, 1992. "Interaction between Autocorrelation and Conditional Heteroscedasticity: A Random-Coefficient Approach," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(2), pages 133-42, April.
- Bera, Anil K & Higgins, Matthew L, 1997. "ARCH and Bilinearity as Competing Models for Nonlinear Dependence," Journal of Business & Economic Statistics, American Statistical Association, vol. 15(1), pages 43-50, January.
- n/a, 2001.
"A Timeless Perspective on Optimality in Forward-Looking Rational Expectations Models,"
NIESR Discussion Papers
154, National Institute of Economic and Social Research.
- Blake, Andrew P., 2002. "A 'Timeless Perspective' on Optimality in Forward-Looking Rational Expectations Models," Royal Economic Society Annual Conference 2002 30, Royal Economic Society.
- Peguin-Feissolle, A., 1999.
"A Comparison of the Power of Some Tests for Conditional Heteroscedasticity,"
99a22, Universite Aix-Marseille III.
- Peguin-Feissolle, Anne, 1999. "A comparison of the power of some tests for conditional heteroscedasticity," Economics Letters, Elsevier, vol. 63(1), pages 5-17, April.
- repec:lan:wpaper:2373 is not listed on IDEAS
- repec:lan:wpaper:2375 is not listed on IDEAS
- Pavlidis Efthymios G & Paya Ivan & Peel David A, 2010.
"Specifying Smooth Transition Regression Models in the Presence of Conditional Heteroskedasticity of Unknown Form,"
Studies in Nonlinear Dynamics & Econometrics,
De Gruyter, vol. 14(3), pages 1-40, May.
- E Pavlidis & I Paya & D Peel, 2009. "Specifying Smooth Transition Regression Models in the Presence of Conditional Heteroskedasticity of Unknown Form," Working Papers 599040, Lancaster University Management School, Economics Department.
- Sadeck Melhem & Mahmoud Melhem, 2012. "Comments on “Re-examining the source of Heteroskedasticity: The paradigm of noisy chaotic models”," Working Papers 12-13, LAMETA, Universtiy of Montpellier, revised Apr 2012.
- Arouri, Mohamed El Hedi & Hammoudeh, Shawkat & Lahiani, Amine & Nguyen, Duc Khuong, 2013.
"On the short- and long-run efficiency of energy and precious metal markets,"
Elsevier, vol. 40(C), pages 832-844.
- Mohamed El Hedi Arouri & Shawkat Hammoudeh & Duc Khuong Nguyen & Amine Lahiani, 2013. "On the short- and long-run efficiency of energy and precious metal markets," Working Papers hal-00798036, HAL.
- repec:lan:wpaper:2454 is not listed on IDEAS
- Kyrtsou, Catherine, 2008. "Re-examining the sources of heteroskedasticity: The paradigm of noisy chaotic models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(27), pages 6785-6789.
- Carlos Escanciano, J., 2008. "Joint and marginal specification tests for conditional mean and variance models," Journal of Econometrics, Elsevier, vol. 143(1), pages 74-87, March.
- Rico Belda, Paz, 2013. "No linealidad y asimetría en el proceso generador del Índice Ibex35/Nonlinearity and Asymmetry in the Generator Process of Ibex35 Index," Estudios de Economía Aplicada, Estudios de Economía Aplicada, vol. 31, pages 555-576, Septiembr.
- repec:lan:wpaper:2596 is not listed on IDEAS
- Sitzia, Bruno & Iovino, Doriana, 2008. "Nonlinearities in Exchange rates: Double EGARCH Threshold Models for Forecasting Volatility," MPRA Paper 8661, University Library of Munich, Germany.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Nick Vriend).
If references are entirely missing, you can add them using this form.