Open Access
VOL. 1 | 2018 Chapter 8. Adaptive kernel density estimation of income distribution and poverty index
Zakaria BARADINE, Youssou CISS, Aboubakary DIAKHABY

Editor(s) Hamet SEYDI, Gane Samb LO, Aboubakary DIAKHABY


In this paper we propose an estimator of Foster, Greer and Thorbecke class of measures indexed by $\alpha>0$ and depending on a poverty line $z>0$ nonparameric methods. The estimator is constructed with adaptive kernel. Uniform almost sure consistency and uniform mean square consistency are established.


Published: 1 January 2018
First available in Project Euclid: 26 September 2019

Digital Object Identifier: 10.16929/sbs/2018.100-02-04

Primary: 60F05 , 62G05 , 91B15

Keywords: adaptive kernel , poverty line , rate of convergence , uniform almost sure consistency , uniform mean square consistency

Rights: Copyright © 2018 The Statistics and Probability African Society

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