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Comptes Rendus Mathématique
Volume 346, n° 15-16
pages 907-912 (août 2008)
Doi : 10.1016/j.crma.2008.07.004
Received : 23 June 2007 ;  accepted : 3 July 2008
Estimation nonparamétrique de la distribution des revenus et de lʼindice de pauvreté
Nonparametric estimation of income distribution and poverty index
 

Galaye Dia
LERSTAD, UFR de sciences appliquées et de technologie, B.P. 234, Université Gaston-Berger-de-Saint-Louis, Saint-Louis, Sénégal 

Résumé

Dans cette Note nous proposons un estimateur de lʼindice de pauvreté de Foster, Greer et Thorbecke. Lʼestimateur est construit à lʼaide du noyau de Parzen Rosenblatt. La convergence de lʼestimateur est étudiée et des simulations proposées. Pour citer cet article : G. Dia, C. R. Acad. Sci. Paris, Ser. I 346 (2008).

The full text of this article is available in PDF format.
Abstract

In this Note we propose an estimator of Foster, Greer and Thorbecke class of measures   where z is the poverty line,   the density of the income distribution and the so-called poverty aversion. The estimator is constructed with Parzen–Rosenblatt kernel. Uniform almost sure consistency and uniform mean square consistency are established. A simulation study indicates that this new estimator performs well in finite samples. To cite this article: G. Dia, C. R. Acad. Sci. Paris, Ser. I 346 (2008).

The full text of this article is available in PDF format.


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