Measuring Segregation on Small Units: A Partial Identification Analysis

Xavier D'Haultfoeuille and Roland Rathelot

No 1611, RF Berlin - CReAM Discussion Paper Series from Rockwool Foundation Berlin (RF Berlin) - Centre for Research and Analysis of Migration (CReAM)

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.

Keywords: segregation; small units; partial identification (search for similar items in EconPapers)
JEL-codes: C13 C14 J71 (search for similar items in EconPapers)
Date: 2016-05
New Economics Papers: this item is included in nep-ecm and nep-lma
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Related works:
Journal Article: Measuring segregation on small units: A partial identification analysis (2017)
Working Paper: Measuring Segregation on Small Units: A Partial Identification Analysis (2016)
Working Paper: Measuring Segregation on Small Units: A Partial Identification Analysis (2011)
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Persistent link: https://EconPapers.repec.org/RePEc:crm:wpaper:1611

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