Abstract
The Laeken indicators are a set of indicators for measuring poverty and social cohesion in Europe. However, some of these indicators are highly influenced by outliers in the upper tail of the income distribution. This paper investigates the use of robust Pareto tail modeling to reduce the influence of outlying observations. In a simulation study, different methods are evaluated with respect to their effect on the quintile share ratio and the Gini coefficient.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Alfons, A.: simFrame: Simulation Framework. R package version 0.1.2 (2009), http://CRAN.R-project.org/package=simFrame
Alfons, A., Holzer, J., Templ, M.: laeken: Laeken indicators for measuring social cohesion. R package version 0.1 (2010), http://CRAN.R-project.org/package=laeken
Alfons, A., Kraft, S., Templ, M., Filzmoser, P.: Simulation of synthetic population data for household surveys with application to EU-SILC. Research Report CS-2010-1, Department of Statistics and Probability Theory, Vienna University of Technology (2010), http://www.statistik.tuwien.ac.at/forschung/CS/CS-2010-1complete.pdf
Alfons, A., Templ, M., Filzmoser, P.: simFrame: An object-oriented framework for statistical simulation. Research Report CS-2009-1, Department of Statistics and Probability Theory, Vienna University of Technology (2009), http://www.statistik.tuwien.ac.at/forschung/CS/CS-2009-1complete.pdf
Beirlant, J., Vynckier, P., Teugels, J.L.: Tail index estimation, Pareto quantile plots, and regression diagnostics. J. Amer. Statist. Assoc. 31(436), 1659–1667 (1996)
Beirlant, J., Vynckier, P., Teugels, J.L.: Excess functions and estimation of the extreme-value index. Bernoulli 2(4), 293–318 (1996)
Dupuis, D.J., Morgenthaler, S.: Robust weighted likelihood estimators with an application to bivariate extreme value problems. Canad. J. Statist. 30(1), 17–36 (2002)
Dupuis, D.J., Victoria-Feser, M.-P.: A robust prediction error criterion for Pareto modelling of upper tails. Canad. J. Statist. 34(4), 639–658 (2006)
EU-SILC: Common cross-sectional EU indicators based on EU-SILC; the gender pay gap. EU-SILC 131-rev/04, Eurostat, Luxembourg (2004)
Hill, B.M.: A simple general approach to inference about the tail of a distribution. Ann. Statist. 3(5), 1163–1174 (1975)
Holzer, J.: Robust methods for the estimation of selected Laeken indicators. Master’s Thesis, Vienna University of Technology (2009)
Kleiber, C., Kotz, S.: Statistical Size Distributions in Economics and Actuarial Sciences. Wiley, Hoboken (2003)
Kraft, S., Alfons, A.: simPopulation: Simulation of synthetic populations for surveys based on sample data. R package version 0.1.1 (2010), http://CRAN.R-project.org/package=simPopulation
R Development Core Team: R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna (2010) ISBN 3-900051-07-0, http://www.R-project.org
Terrel, G.: Linear density estimates. In: Proceedings of the Statistical Computing Section of the American Statistical Association, pp. 297–302 (1990)
Vandewalle, B., Beirlant, J., Christmann, A., Hubert, M.: A robust estimator for the tail index of Pareto-type distributions. Comput. Statist. Data Anal. 51(12), 6252–6268 (2007)
Van Kerm, P.: Extreme incomes and the estimation of poverty and inequality indicators from EU-SILC. IRISS Working Paper Series 2007-01, CEPS/INSTEAD (2007)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Alfons, A., Templ, M., Filzmoser, P., Holzer, J. (2010). A Comparison of Robust Methods for Pareto Tail Modeling in the Case of Laeken Indicators. In: Borgelt, C., et al. Combining Soft Computing and Statistical Methods in Data Analysis. Advances in Intelligent and Soft Computing, vol 77. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14746-3_3
Download citation
DOI: https://doi.org/10.1007/978-3-642-14746-3_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-14745-6
Online ISBN: 978-3-642-14746-3
eBook Packages: EngineeringEngineering (R0)