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Indirect Estimation of α-Stable Distributions and Processes

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  • Marco J. Lombardi
  • Giorgio Calzolari

Abstract

The α-stable family of distributions constitutes a generalization of the Gaussian distribution, allowing for asymmetry and thicker tails. Its practical usefulness is coupled with a marked theoretical appeal, as it stems from a generalized version of the central limit theorem in which the assumption of the finiteness of the variance is replaced by a less restrictive assumption concerning a somehow regular behaviour of the tails. Estimation difficulties have however hindered its diffusion among practitioners. Since stably distributed random numbers can be produced thoroughly, we propose an indirect estimation approach which uses a skew-t distribution as auxiliary model. The properties of this approach are assessed in a detailed simulation study. Copyright Royal Economic Society 2008

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Bibliographic Info

Article provided by Royal Economic Society in its journal Econometrics Journal.

Volume (Year): 11 (2008)
Issue (Month): 1 (03)
Pages: 193-208

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Handle: RePEc:ect:emjrnl:v:11:y:2008:i:1:p:193-208

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Cited by:
  1. Marco Lombardi & Giorgio Calzolari, 2006. "Indirect estimation of alpha-stable stochastic volatility models," Econometrics Working Papers Archive wp2006_07, Universita' degli Studi di Firenze, Dipartimento di Statistica, Informatica, Applicazioni "G. Parenti".
  2. Giorgio Calzolari & Roxana Halbleib & Alessandro Parrini, 2012. "Indirect Estimation of α-Stable Garch Models," Working Paper Series of the Department of Economics, University of Konstanz 2012-31, Department of Economics, University of Konstanz.

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