Whittle estimation of ARCH models

Giraitis, L. & Robinson, P. M. (2000). Whittle estimation of ARCH models. (Econometrics; EM/2000/406 EM/00/406). Suntory and Toyota International Centres for Economics and Related Disciplines.
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For a class of parametric ARCH models, Whittle estimation based on squared observations is shown to be inconsistent and asymptotically normal. Our conditions require the squares to have short memory autocorrelation, by comparison with the work of Zaffaroni (1999), who established the same properties on the basis of an alternative class of models with martingale difference levels and long memory autocorrelated squares.

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