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Semiparametric efficient adaptive estimation of the GJR-GARCH model

Ciccarelli Nicola ()
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Ciccarelli Nicola: Center and Department of Econometrics and Operations Research, Tilburg University, P.O. Box 90153, 5000 LETilburg, Netherlands

Statistics & Risk Modeling, 2018, vol. 35, issue 3-4, 141-160

Abstract: In this paper we derive a semiparametric efficient adaptive estimator for the GJR-GARCH(1,1){(1,1)} model. We first show that the quasi-maximum likelihood estimator is consistent and asymptotically normal for the model used in analysis, and we secondly derive a semiparametric estimator that is more efficient than the quasi-maximum likelihood estimator. Through Monte Carlo simulations, we show that the semiparametric estimator is adaptive for the parameters included in the conditional variance of the GJR-GARCH(1,1){(1,1)} model with respect to the unknown distribution of the innovation.

Keywords: Semiparametric estimation; nonparametric inference; asymmetric volatility; GJR-GARCH (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1515/strm-2017-0015

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