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FOURTH MOMENT STRUCTURE OF THE GARCH(p,q) PROCESS

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Author Info
He, Changli
Ter svirta, Timo
Abstract

In this paper, a necessary and sufficient condition for the existence of the unconditional fourth moment of the GARCH(p,q) process is given and also an expression for the moment itself. Furthermore, the autocorrelation function of the centered and squared observations of this process is derived. The statistical theory is further illustrated by a few special cases such as the GARCH(2,2) process and the ARCH(q) process.

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File URL: http://journals.cambridge.org/abstract_S0266466699156032
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Publisher Info
Article provided by Cambridge University Press in its journal Econometric Theory.

Volume (Year): 15 (1999)
Issue (Month): 06 (December)
Pages: 824-846
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Handle: RePEc:cup:etheor:v:15:y:1999:i:06:p:824-846_15

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  1. HAFNER, Christian, 2001. "Fourth moments of multivariate GARCH processes," CORE Discussion Papers 2001046, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE). [Downloadable!]
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  2. Shiqing Ling & Michael McAleer, 2001. "Necessary and Sufficient Moment Conditions for the GARCH(r,s) and Asymmetric Power GARCH(r,s) Models," ISER Discussion Paper 0534, Institute of Social and Economic Research, Osaka University. [Downloadable!]
    Other versions:
  3. Shiqing Ling & Michael McAleer, 2001. "Stationarity and the Existence of Moments of a Family of GARCH Processes," ISER Discussion Paper 0535, Institute of Social and Economic Research, Osaka University. [Downloadable!]
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  4. W. K. Li & Shiqing Ling & Michael McAleer, 2001. "A Survey of Recent Theoretical Results for Time Series Models with GARCH Errors," ISER Discussion Paper 0545, Institute of Social and Economic Research, Osaka University. [Downloadable!]
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