Bias Correction of ML and QML Estimators in the EGARCH(1,1) Model

Antonis Demos and Dimitra Kyriakopoulou

No 1108, DEOS Working Papers from Athens University of Economics and Business

Abstract: n this paper we derive the bias approximations of the Maximum Likelihood (ML) and Quasi-Maximum Likelihood (QML) Estimators of the EGARCH(1,1) parameters and we check our theoretical results through simulations. With the approximate bias expressions up to O(1/T), we are then able to correct the bias of all estimators. To this end, a Monte Carlo exercise is conducted and the results are presented and discussed. We conclude that, for given sets of parameters values, the bias correction works satisfactory for all parameters. The results for the bias expressions can be used in order to formulate the approximate Edgeworth distribution of the estimators.

Date: 2011-06-10
New Economics Papers: this item is included in nep-ecm and nep-ets
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