Estimation and Inference for Normative Inequality Indices

Ian Rongve and Charles Beach

No 913, Working Paper from Economics Department, Queen's University

Abstract: This paper addresses the sampling distribution of two general classes of normative income inequality indices. Specifically, for approximations to the Atkinson-Kolm-Sen index of relative inequality and the Kolm-Blackorby-Donaldson index of absolute inequality, the paper provides consistent estimators based on a random sample of income microdata and establishes their asymptotic normality. Asymptotic variance-covariance expressions are obtained that provide for distribution-free statistical inference on these measures in a straightforward fashion. The paper thus extends the principles of statistical inference to current classes of normative inequality measures and to Atkinson's equally distributed income measure, using a general approximation approach. An example using Canadian family income microdata illustrates the technique.

Pages: 24 pages
Date: 1994-11
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http://qed.econ.queensu.ca/working_papers/papers/qed_wp_913.pdf First version 1994 (application/pdf)

Related works:
Journal Article: Estimation and Inference for Normative Inequality Indices (1997)
Working Paper: Estimation and Inference for Normative Inquelity Indices (1994)
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Persistent link: https://EconPapers.repec.org/RePEc:qed:wpaper:913

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