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Estimation and Inference for Normative Inquelity Indices

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Author Info

  • Rongve, I.
  • Beach, C.

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.

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Bibliographic Info

Paper provided by Regina - Department of Economics in its series Papers with number 51.

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Length: 23 pages
Date of creation: 1994
Date of revision:
Handle: RePEc:fth:regina:51

Contact details of provider:
Postal: UNIVERSITY OF REGINA, DEPARTMENT OF ECONOMICS, REGINA SASKATCHEWAN S4S OA2 CANADA.
Phone: (306) 585-4485
Fax: (306) 585-4815
Email:
Web page: http://www.uregina.ca/arts/economics/
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Keywords: econometrics ; evaluation;

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Cited by:
  1. Stephen G. Donald & Yu‐Chin Hsu & Garry F. Barrett, 2012. "Incorporating covariates in the measurement of welfare and inequality: methods and applications," Econometrics Journal, Royal Economic Society, vol. 15(1), pages C1-C30, 02.

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