WHITTLE ESTIMATION OF ARCH MODELS

Liudas Giraitis and Peter M. Robinson

Econometric Theory, 2001, vol. 17, issue 03, pages 608-631

Abstract: For a class of parametric ARCH models, Whittle estimation based on squared observations is shown to be [square root of n]-consistent and asymptotically normal. Our conditions require the squares to have short memory autocorrelation, by comparison with the work of Zaffaroni (1999, Gaussian Inference on Certain Long-Range Dependent Volatility Models, Preprint), who established the same properties on the basis of an alternative class of models with martingale difference levels and long memory autocorrelated squares.

Date: 2001
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