Year: 2017
Type: preprint
Abstract: This paper introduces a general continuous form of poverty index that encompasses most of the existing formulas in the literature. We then propose a consistent estimator for this index in case the poverty line is a functional of the distribution. We also establish a uniform functional Central Limit Theorem for the proposed estimator over a suitable product class of real-valued functions. As a consequence, testing procedures based either on single or simultaneously several poverty indices can be developed. A simulation study showing the asymptotic normality of the estimator is given as well as an application to real data for estimating the effect of relative poverty lines on the variance of the poverty estimates.
Source: arXiv (Cornell University)
Authors: Seck, Cheikh Tidiane, Lo, Gane Samb
Language: English
Subfield: Sociology and Political Science
Field: Social Sciences
Domain: Social Sciences
SDG: No poverty
Open Access status: green
OpenAlex ID: W2769481649