Unequal inequalities. I

Kolm, Serge-Christophe

doi:10.1016/0022-0531(76)90037-5

Cited by 641 publications

(254 citation statements)

References 3 publications

Supporting

Mentioning

245

Contrasting

Unclassified

Order By: Relevance

“…Letting c = 0, we obtain the variance and, letting c < 0, the family (2) is ordinally equivalent to the Kolm (1976) family of measures. As the parameter c decreases, the corresponding measures are more sensitive to transfers between incomes at the bottom of the income distribution.…”

Section: Discussionmentioning

confidence: 99%

The class of absolute decomposable inequality measures

Bosmans

Cowell

2010

Economics Letters

View full text Add to dashboard Cite

show abstract

Section: Discussionmentioning

confidence: 99%

The class of absolute decomposable inequality measures

Bosmans

Cowell

2010

Economics Letters

View full text Add to dashboard Cite

show abstract

“…These also range from simple extreme group measures, such as the absolute gap index, to more sophisticated measures assessing the entire distribution and allowing for different levels of absolute inequality aversion. An example of the latter is the Kolm index shown in the succeeding texts with α representing the level of constant absolute inequality aversion (Kolm, 1976).…”

Section: 24mentioning

confidence: 99%

Distributional Cost‐Effectiveness Analysis of Health Care Programmes – A Methodological Case Study of the UK Bowel Cancer Screening Programme

et al. 2014

View full text Add to dashboard Cite

This paper presents an application of a new methodological framework for undertaking distributional cost-effectiveness analysis to combine the objectives of maximising health and minimising unfair variation in health when evaluating population health interventions. The National Health Service bowel cancer screening programme introduced in 2006 is expected to improve population health on average and to worsen population health inequalities associated with deprivation and ethnicity -a classic case of 'intervention-generated inequality'. We demonstrate the distributional cost-effectiveness analysis framework by examining two redesign options for the bowel cancer screening programme: (i) the introduction of an enhanced targeted reminder aimed at increasing screening uptake in deprived and ethnically diverse neighbourhoods and (ii) the introduction of a basic universal reminder aimed at increasing screening uptake across the whole population. Our analysis indicates that the universal reminder is the strategy that maximises population health, while the targeted reminder is the screening strategy that minimises unfair variation in health. The framework is used to demonstrate how these two objectives can be traded off against each other, and how alternative social value judgements influence the assessment of which strategy is best, including judgements about which dimensions of health variation are considered unfair and judgements about societal levels of inequality aversion.

show abstract

“…The Bonferroni curve which, like the Lorenz curve, is bounded by the unit square is also strongly related to the shape of the underlying distribution curve F: when F is convex (strongly skewed to the left), the Bonferroni curve is concave, and when F is concave (strongly skewed to the right), the Bonferroni curve is convex. Aaberge (2007) proved also that the Bonferroni index satisfies the principle of diminishing transfers (see Kolm, 1976, andShorrocks andFoster, 1987) for all strictly log-concave distributional functions and the principle of positional transfer sensitivity (see Mehran, 1976) for all distributional functions. Finally the Bonferroni index may also be interpreted in terms of relative deprivation (see Chakravarty, 2007).…”

Section: Introductionmentioning

confidence: 95%

“…Despite the great relevance of Kolm's (1976) remarks in the citation above, it is clear that the degree of popularity of the different inequality indices that have been proposed in the literature is related to the ease which with they can be grasped by a non-specialist. The Gini index thus remains the most commonly used index because it has a simple graphical interpretation in terms of the Lorenz curve, a diagrammatic tool that any layman can understand.…”

Section: Introductionmentioning

confidence: 99%

On the generalization and decomposition of the Bonferroni index

Bárcena‐Martín

Silber

2012

Soc Choice Welf

View full text Add to dashboard Cite

A simple algorithm is proposed which defines the Bonferroni index as the product of a row vector of individual population shares, a linear mathematical operator called the Bonferroni matrix and a column vector of income shares. This algorithm greatly simplifies the decomposition of the Bonferroni index by income sources or classes and population subgroups. The proposed algorithm also links the Bonferroni index to the concepts of relative deprivation and social welfare and leads to a generalization where the traditional Bonferroni and Gini indices are special cases. The paper ends with an empirical illustration based on EU-SILC data for the year 2008.Keywords: Gini, inequality decomposition, population subgroups, relative deprivation, social welfare JEL classification: D31, D63 1 A preliminary version of this paper was presented by Jacques Silber at the forty eighth meeting of the Italian Society of Economics, Demography and Statistics, which took place in Rome on May 26-28 2011. Barcena-Martin and SilberGeneralization This publication is copyright, however it may be reproduced without fee for teaching or non-profit purposes, but not for resale. Formal permission is required for all such uses, and will normally be granted immediately. For copying in any other circumstances, or for re-use in other publications, or for translation or adaptation, prior written permission must be obtained from OPHI and may be subject to a fee.

show abstract

Unequal inequalities. I

Cited by 641 publications

References 3 publications

The class of absolute decomposable inequality measures

The class of absolute decomposable inequality measures

Distributional Cost‐Effectiveness Analysis of Health Care Programmes – A Methodological Case Study of the UK Bowel Cancer Screening Programme

On the generalization and decomposition of the Bonferroni index

Contact Info

Product

Resources

About