On Some New Results of Poverty Orderings and Their Applications

Abstract

The paper proposes to derive some new poverty indices which depend on aging classes. We also give some properties of it and show the connection between economic measure and new poverty measures these based on the concept of reversed residual incomes. In addition, the characterization of Pareto distribution based on new poverty functions is obtained. Furthermore, the stochastic orderings of new poverty indices are studied and their properties. In addition, the weighted poverty gap indices and stochastic dominance which involve the concept of inactivity incomes and its features are studied.

Keywords

• Poverty gap; the severity of poverty; poverty ordering; weighed functions; lorenz curve; the reversed proportional failure rate.