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Measuring segregation on small units : a partial identification analysis
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D’Haultfœuille, Xavier and Rathelot, Roland (2017) Measuring segregation on small units : a partial identification analysis. Quantitative Economics, 8 (1). pp. 39-73. doi:10.3982/QE501 ISSN 1759-7323.
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Official URL: http://doi.org/10.3982/QE501
Abstract
We consider the issue of measuring segregation in a population of small units, considering establishments in our application. Each establishment may have a different probability to hire an individual from the minority group. We define segregation indices as inequality indices on these unobserved, random probabilities. Because these probabilities are measured with error by proportions, standard estimators are inconsistent. We model this problem as a nonparametric binomial mixture. Under this testable assumption and conditions satisfied by standard segregation indices, such indices are partially identified and sharp bounds can be easily obtained by an optimization over a low dimensional space. We also develop bootstrap confidence intervals and a test of the binomial mixture model. Finally, we apply our method to measure the segregation of foreigners in small French firms.
| Item Type: | Journal Article | ||||||
|---|---|---|---|---|---|---|---|
| Subjects: | H Social Sciences > HD Industries. Land use. Labor | ||||||
| Divisions: | Faculty of Social Sciences > Economics | ||||||
| Library of Congress Subject Headings (LCSH): | Minorities -- Employment -- Mathematical models | ||||||
| Journal or Publication Title: | Quantitative Economics | ||||||
| Publisher: | Econometric Society | ||||||
| ISSN: | 1759-7323 | ||||||
| Official Date: | 29 March 2017 | ||||||
| Dates: |
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| Volume: | 8 | ||||||
| Number: | 1 | ||||||
| Page Range: | pp. 39-73 | ||||||
| DOI: | 10.3982/QE501 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Access rights to Published version: | Open Access (Creative Commons) | ||||||
| Date of first compliant deposit: | 12 August 2016 | ||||||
| Date of first compliant Open Access: | 17 May 2017 | ||||||
| Funder: | France. Agence nationale de la recherche (ANR) | ||||||
| Grant number: | Grant ANR-10-EQPX-17 | ||||||
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