Statistical Inference for Stochastic Dominance and for the Measurement of Poverty and Inequality
AbstractWe derive the asymptotic sampling distribution of various estimators frequently used to order distributions in terms of poverty, welfare and inequality. This includes estimators of most of the poverty indices currently in use, as well as estimators of the curves used to infer stochastic dominance of any order. These curves can be used to determine whether poverty, inequality or social welfare is greater in one distribution than in another for general classes of indices. We also derive the sampling distribution of the maximal poverty lines (or income censoring thresholds) up to which we may confidently assert that poverty or social welfare is greater in one distribution than in another. The sampling distribution of convenient estimators for dual approaches to the measurement of poverty is also established. The statistical results are established for deterministic or stochastic poverty lines as well as for paired or independent samples of incomes. Our results are briefly illustrated using data for 6 countries drawn from the Luxembourg Income Study data bases. On Ã©tudie les propriÃ©tÃ©s asymptotiques de plusieurs estimateurs frÃ©quemment utilisÃ©s pour ordonner les rÃ©partitions de revenus en termes de pauvretÃ©, bien-Ãªtre social, et inÃ©galitÃ©. Ces estimateurs incluent les estimateurs de la plupart des indices de pauvretÃ© couramment en usage ainsi que les estimateurs des courbes utiles pour l'infÃ©rence de la dominance stochastique de n'importe quel ordre. Ces courbes nous permettent de dÃ©terminer si la pauvretÃ©, l'inÃ©galitÃ© ou le bien-Ãªtre social sont plus Ã©levÃ©s dans une rÃ©partition que dans une autre pour des classes gÃ©nÃ©rales d'indices. On Ã©tudie aussi la distribution Ã©chantillonnale des seuils maximum de pauvretÃ© ou de censure des revenus jusqu'auxquels on peut affirmer sans ambiguÃ¯tÃ© que la pauvretÃ© ou le bien-Ãªtre social sont plus Ã©levÃ©s dans une rÃ©partition de revenus que dans une autre. La distribution Ã©chantillonnale d'estimateurs po
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Bibliographic InfoArticle provided by Econometric Society in its journal Econometrica.
Volume (Year): 68 (2000)
Issue (Month): 6 (November)
Other versions of this item:
- Davidson, R. & Duclos, J.-Y., 1998. "Statistical Inference for Stochastic Dominance and for the Measurement of Poverty and Inequality," G.R.E.Q.A.M. 98a14, Universite Aix-Marseille III.
- Davidson, Russell & Duclos, Jean-Yves, 1998. "Statistical Inference for Stochastic Dominance and for the Measurement of Poverty and Inequality," Cahiers de recherche 9805, Université Laval - Département d'économique.
- C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
- C40 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - General
- D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
- D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
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