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
