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Asymptotic Theory for ARCH Models: Estimation and Testing

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  • Weiss, Andrew A.

Abstract

In the context of a linear dynamic model with moving average errors, we consider a heteroscedastic model which represents an extension of the ARCH model introduced by Engle [4]. We discuss the properties of maximum likelihood and least squares estimates of the parameters of both the regression and ARCH equations, and also the properties of various tests of the model that are available. We do not assume that the errors are normally distributed.

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  • Weiss, Andrew A., 1986. "Asymptotic Theory for ARCH Models: Estimation and Testing," Econometric Theory, Cambridge University Press, vol. 2(1), pages 107-131, April.
    • Handle: RePEc:cup:etheor:v:2:y:1986:i:01:p:107-131_01
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    1. A. R. Pagan & A. D. Hall & P. K. Trivedi, 1983. "Assessing the Variability of Inflation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(4), pages 585-596.
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    6. Dhrymes, Phoebus J & Taylor, John B, 1976. "On an Efficient Two-Step Estimator for Dynamic Simultaneous Equations Models with Autoregressive Errors," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 17(2), pages 362-376, June.
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