Dynamic Measurement of Poverty: Modeling and Estimation
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This study presents a model of income evolution from which dynamic versions of commonly used static poverty measures are derived. The dynamic indexes are calculated both for finite- and infinite-size economic systems. Probabilistic convergence results prove that the infinite-size system can be conveniently used to approximate the finite-size system in an effective way. Secondly, poverty indexes estimation based on micro-data are discussed under different sampling schemes and it is proved that they are strongly consistent. A hypothetical example is used to show the dynamic evolution of the poverty and the estimation methodologies.
Keywords and phrases.Markov process Population dynamic Nonparametric estimation Micro-data
AMS (2000) subject classification.Primary 60J25 Secondary 91B82
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