Working paper
On the generalization and decomposition of the Bonferroni Index
- Abstract:
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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.
- Publication status:
- Published
- Peer review status:
- Reviewed (other)
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(Preview, Version of record, pdf, 282.4KB, Terms of use)
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Authors
- Publisher:
- Oxford Poverty & Human Development Initiative (OPHI)
- Series:
- OPHI working paper
- Publication date:
- 2012-01-01
- Edition:
- Publisher's version
- ISSN:
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2040-8188
- Paper number:
- 51
- ISBN:
- 9781907194375
- Language:
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English
- Keywords:
- UUID:
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uuid:1998e8af-71ed-4649-a5d8-e4c23e5e474f
- Local pid:
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ora:9463
- Deposit date:
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2014-12-02
- ARK identifier:
Terms of use
- Copyright holder:
- Oxford Poverty & Human Development Initiative
- Copyright date:
- 2012
- Notes:
- Copyright © Oxford Poverty & Human Development Initiative 2012. 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.
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