Asymptotic Representation Theorems for Poverty Indices

TL;DR

This paper establishes general asymptotic representation theorems for a broad class of poverty indices, facilitating their analysis and application to longitudinal data in poverty measurement.

Contribution

It provides a unified asymptotic representation theorem for the general poverty index applicable to many indices and supports continuous poverty measurement over time.

Findings

Unified asymptotic representation for poverty indices

Applicable to a wide range of poverty measures

Enables longitudinal poverty analysis

Abstract

We set general conditions under which the general poverty index, which summarizes all the available indices, is asymptotically represented with some empirical processes. This representation theorem offers a general key, in most directions, for the asymptotics of the bulk of poverty indices and issues in poverty analysis. Our representation results uniformly hold on a large collection of poverty indices. They enable the continuous measure of poverty with longitudinal data.