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Published online by Cambridge University Press:  14 March 2017

Jinyong Hahn*
University of California, Los Angeles
Zhipeng Liao
University of California, Los Angeles
*Address correspondence to Jinyong Hahn, Department of Economics, UCLA, Box 951477, Los Angeles, CA 90095-1477, USA; e-mail:


This paper investigates whether there can exist regular estimators in models characterized by nonparametric instrumental variable (NPIV). We show by a number of examples that regular estimation is impossible in general for nonlinear functionals.

Copyright © Cambridge University Press 2017 

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We acknowledge helpful comments by anonymous referees. We are particularly grateful to the Editor and a Co-Editor for their considerable input.



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