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Title:Considerations on partially identified regression models PDF Logo
Authors:Cerquera, Daniel
Laisney, François
Ullrich, Hannes
Issue Date:2012
Series/Report no.:ZEW Discussion Papers 12-024
Abstract:Motivated by Manski and Tamer (2002) and especially their partial identification analysis of the regression model where one covariate is only interval-measured, we offer several contributions. 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 estimates, and illustrate the superiority of MMD over MMM. For MMD, we propose a simple shortcut for estimation.
Subjects:partial identification
true identified set
Persistent Identifier of the first edition:urn:nbn:de:bsz:180-madoc-322108
Document Type:Working Paper
Appears in Collections:ZEW Discussion Papers, Zentrum für Europäische Wirtschaftsforschung (ZEW)
Publikationen von Forscherinnen und Forschern des Zentrums für Europäische Wirtschaftsforschung (ZEW)

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