On a family of achievement and shortfall inequality indices

Satya Chakravarty, Nachiketa Chattopadhyay () and Conchita D’Ambrosio ()
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Nachiketa Chattopadhyay: Indian Statistical Institute, Kolkata , India
Conchita D’Ambrosio: Université du Luxembourg
Authors registered in the RePEc Author Service: Conchita D'Ambrosio

No 300, Working Papers from ECINEQ, Society for the Study of Economic Inequality

Abstract: This paper identifies a family of absolute consistent inequality indices using a weakly decomposable postulate suggested by Ebert (2010). Since one member employs an Atkinson (1970) type aggregation we refer to it as the Atkinson index of consistent inequality. A second member of this family parallels the Kolm (1976) index of inequality while a third member of the family can be regarded as the normalized Theil (1972) consistent mean logarithmic deviation index. Two innovative features of these indices are that no specific structure is imposed on the form of the index at the outset and no transformation of any existing index is considered to ensure consistency. Each of them regards an achievement distribution as equally unequal as the corresponding shortfall distribution. We apply these indices to study inequality in mental health in Britain between 1991 and 2008.

Keywords: Achievement inequality; shortfall inequality; consistency; BHPS. (search for similar items in EconPapers)
JEL-codes: D63 I31 (search for similar items in EconPapers)
Pages: 21 pages
Date: 2013-08
New Economics Papers: this item is included in nep-ltv
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http://www.ecineq.org/milano/WP/ECINEQ2013-300.pdf (application/pdf)

Related works:
Journal Article: On a Family of Achievement and Shortfall Inequality Indices (2016)
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