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Contribution Details

Type Working Paper
Scope Discipline-based scholarship
Title A note on regressions with interval data on a regressor
Organization Unit
Authors
  • Daniel Cerquera
  • Francois Laisney
  • Hannes Ullrich
Language
  • English
Institution University of Zurich
Series Name SSRN
Number 1419
ISSN 1556-5068
Date 2014
Abstract Text Motivated by Manski and Tamer (2002) and especially their partial identification analysis of the regression model where one covariate is only interval-measured, we present two extensions. Manski and Tamer (2002) propose two estimation approaches in this context, focussing on general results. The modified minimum distance (MMD) estimates the true identified set and the modified method of moments (MMM) a superset. Our first contribution is to characterize the true identified set and the superset. Second, we complete and extend the Monte Carlo study of Manski and Tamer (2002). We present benchmark results using the exact functional form for the expectation of the dependent variable conditional on observables to compare with results using its nonparametric estimate, and illustrate the superiority of MMD over MMM.
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