Measuring segregation on small units: A partial identification analysis

• 成果类型: Article
• 署名作者: D'Haultfoeuille, Xavier; Rathelot, Roland
• 署名单位: Institut Polytechnique de Paris; ENSAE Paris; University of Warwick
• 刊物名称: QUANTITATIVE ECONOMICS
• ISSN/ISSBN: 1759-7323
• DOI: 10.3982/QE501
• 发表日期: 2017
• 页码: 39-73
• 关键词: segregation; small units; partial identification

摘要

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 of hiring 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.