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A Locally Most Mean Powerful Based Score Test for ARCH and GARCH Regression Disturbances

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Author Info
Lee, John H H
King, Maxwell L
Abstract

This paper considers testing for autoregressive conditional heteroskedasticity and generalized autoregressive conditional heteroskedasticity disturbances in the linear regression model. These testing problems are one-sided in nature; a fact ignored by the Lagrange multiplier test. A test that exploits this one-sided aspect is constructed based on the sum of the scores. The size and power properties of two versions of this test under normal and leptokurtic disturbances are investigated via a Monte Carlo experiment. The results indicate that both version s of the new test typically have superior power to two versions of the Lagrange multiplier test and possibly also more accurate asymptotic critical values.

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

Volume (Year): 11 (1993)
Issue (Month): 1 (January)
Pages: 17-27
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Handle: RePEc:bes:jnlbes:v:11:y:1993:i:1:p:17-27

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  1. Francq, Christian & Zakoian, Jean-Michel, 2008. "Testing the nullity of GARCH coefficients : correction of the standard tests and relative efficiency comparisons," MPRA Paper 16672, University Library of Munich, Germany. [Downloadable!]
    Other versions:
  2. Christian Francq & Jean-Michel Zakoïan, 2006. "Inference in GARCH when some coefficients are equal to zero," Computing in Economics and Finance 2006 64, Society for Computational Economics. [Downloadable!]
  3. Jin Lee, 2000. "One-Sided Testing for ARCH Effect Using Wavelets," Econometric Society World Congress 2000 Contributed Papers 1214, Econometric Society. [Downloadable!]
  4. Oliver Linton & Douglas G. Steigerwald, 1995. "Adaptive Testing in ARCH Models," Cowles Foundation Discussion Papers 1105, Cowles Foundation, Yale University. [Downloadable!]
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  5. Dijk, Dick van & Franses, Philip Hans & Lucas, Andr•, 1996. "Testing for ARCH in the presence of additive outliers," Econometric Institute Report 59, Erasmus University Rotterdam, Econometric Institute. [Downloadable!]
    Other versions:
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