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Extreme Value Index Estimators and Smoothing Alternatives: Review and Simulation Comparison

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Author Info
Tsourti, Zoi
Panaretos, John

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Abstract

Extreme-value theory and corresponding analysis is an issue extensively applied in many different fields. The central point of this theory is the estimation of a parameter γ, known as extreme-value index. In this paper we review several extreme-value index estimators, ranging from the oldest ones to the most recent developments. Moreover, some smoothing and robustifying procedures of these estimators are presented. A simulation study is conducted in order to compare the behaviour of the estimators and their smoothed alternatives. Maybe, the most prominent result of this study is that no uniformly best estimator exists and that the behaviour of estimators depends on the value of the parameter γ itself

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 6384.

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Date of creation: Jul 2001
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Handle: RePEc:pra:mprapa:6384

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Related research
Keywords: Extreme value index Semi-parametric estimation Smoothing modification

Find related papers by JEL classification:
C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. M. I. Barão & J. A. Tawn, 1999. "Extremal analysis of short series with outliers: sea-levels and athletics records," Journal Of The Royal Statistical Society Series C, Royal Statistical Society, vol. 48(4), pages 469-487. [Downloadable!] (restricted)
  2. Jon Danielsson & Casper G. de Vries, 1998. "Beyond the Sample: Extreme Quantile and Probability Estimation," FMG Discussion Papers dp298, Financial Markets Group. [Downloadable!] (restricted)
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  1. Tsourti, Zoi & Panaretos, John, 2004. "Extreme Value Analysis of Teletraffic Data," MPRA Paper 6391, University Library of Munich, Germany. [Downloadable!]
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This page was last updated on 2008-11-17.


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