The alpha-stable family of distributions constitutes a generalization of the Gaussian distribution, allowing for asymmetry and thicker tails. Its many useful properties, including a central limit theorem, are especially appreciated in the financial field. However, estimation difficulties have up to now hindered its widespread use among practitioners. The authors introduce an indirect estimation approach to stochastic volatility models with alpha-stable innovations that exploits, as auxiliary model, a GARCH(1,1) with t-distributed innovations. The approach is illustrated by means of a detailed simulation study and an application to currency crises.

Indirect estimation of alpha-stable stochastic volatility models / M.J.Lombardi; G.Calzolari. - In: COMPUTATIONAL STATISTICS & DATA ANALYSIS. - ISSN 0167-9473. - STAMPA. - 53:(2009), pp. 2298-2308.

Indirect estimation of alpha-stable stochastic volatility models

CALZOLARI, GIORGIO
2009

Abstract

The alpha-stable family of distributions constitutes a generalization of the Gaussian distribution, allowing for asymmetry and thicker tails. Its many useful properties, including a central limit theorem, are especially appreciated in the financial field. However, estimation difficulties have up to now hindered its widespread use among practitioners. The authors introduce an indirect estimation approach to stochastic volatility models with alpha-stable innovations that exploits, as auxiliary model, a GARCH(1,1) with t-distributed innovations. The approach is illustrated by means of a detailed simulation study and an application to currency crises.
2009
53
2298
2308
M.J.Lombardi; G.Calzolari
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/328070
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