Articles

TESTING THE ADEQUACY OF GARCH-TYPE MODELS IN TIME SERIES

  • TUN Jian-Hong ,
  • SHU Li-Hang
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  • College of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou 310018, China

Received date: 2006-08-30

  Revised date: 2007-09-07

  Online published: 2009-03-20

Supported by

This work was partially supported by a grant from the Research Grants Council of Hong Kong. Jianhong Wu was also supported by a grant from Humanities & Social Sciences in Chinese University (07JJD790154) and the Youth Talent Foundation of Zhejiang GongShang University (Q09-12)

Abstract

In this article a new approach for checking the adequacy of GARCH-type models in time series was proposed. The resulted tests involve weight functions, which provide them with the flexibility in choosing scores to enhance power performance. The choice of weight functions and the power properties of the tests are studied. For a large
number of alternatives, asymptotically distribution-free maximin test is constructed. The tests are asymptotically chi-squared under the null hypothesis and easy to implement. Simulation results indicate that the tests perform well.

Cite this article

TUN Jian-Hong , SHU Li-Hang . TESTING THE ADEQUACY OF GARCH-TYPE MODELS IN TIME SERIES[J]. Acta mathematica scientia, Series B, 2009 , 29(2) : 327 -340 . DOI: 10.1016/S0252-9602(09)60033-3

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