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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

## Abstract

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.

## Information

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

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

Subjects:
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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