Uniform Convergence of the Non-Weighted Poverty Measures

DOI10.1080/03610920802645387zbMath1186.62135OpenAlexW2149251828MaRDI QIDQ3652784

Gane Samb Lo, Cheikh Tidiane Seck

Publication date: 16 December 2009

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610920802645387

zbMATH Keywords

entropy numberspoverty measuresweak convergence of empirical processesDonsker and Glivenko-Cantelli's classesweak convergence in metric spaces

Mathematics Subject Classification ID

Applications of statistics to economics (62P20) Central limit and other weak theorems (60F05) Non-Markovian processes: estimation (62M09) Order statistics; empirical distribution functions (62G30) Statistical methods; economic indices and measures (91B82)

Related Items (6)

Modification of the adaptive kernel density estimation of income distribution and poverty index using the arithmetic mean ⋮ Non-parametric estimation of income distribution and poverty index in the unidimensional context with \(\alpha \in 0,1[\)] ⋮ Asymptotic normality of non-parametric estimator for the FGT poverty index via adaptive kernel ⋮ A note on a modification of the adaptive kernel density estimation of income distribution and poverty index via the range ⋮ Unnamed Item ⋮ A Glivenko-Cantelli Bootstrap Theorem for the Foster-Greer-Thorbecke Poverty Index

Cites Work

• Weak convergence and empirical processes. With applications to statistics
• A Class of Decomposable Poverty Measures
• Poverty: An Ordinal Approach to Measurement

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