Journal
JOURNAL OF ECONOMETRICS
Volume 190, Issue 2, Pages 349-359Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.jeconom.2015.06.010
Keywords
Endogeneity in frontier models; Instrumental variable quantile; Non linear integral equation; Landweber iteration; Tail index estimation
Categories
Funding
- Group La Poste, Paris, France
- IAP Research Network of the Belgian State (Belgian Science Policy) [P7/06]
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The paper investigates endogeneity issues in nonparametric frontier models. It considers a nonseparable model for a cost function C = phi(Y, U) where C and Y are the cost and the output, U is uniform in [0, 1] and phi is increasing with respect to U. The cost frontier corresponds to U = 0 and U can be interpreted as a normalized level of inefficiency. The endogeneity issue arises when Y is dependent of U. For identification and estimation, we use a nonparametric instrumental variables estimator of the model for fixed value U = alpha, and obtain an estimate of the alpha-quantile cost frontier phi(Y, alpha). This involves the solution of a non linear integral equation. If the true frontier phi(Y, 0) is wanted, it is then estimated by estimating the bias correction phi(Y, 0) - phi(Y, alpha) under additional regularity conditions. The procedure is illustrated through a simulated sample and with an empirical application to the efficiency of post offices. (C) 2015 Elsevier B.V. All rights reserved.
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