Econometrica

Journal Of The Econometric Society

An International Society for the Advancement of Economic
Theory in its Relation to Statistics and Mathematics

Edited by: Guido W. Imbens • Print ISSN: 0012-9682 • Online ISSN: 1468-0262

Econometrica: Mar, 2013, Volume 81, Issue 2

Inference Based on Conditional Moment Inequalities

https://doi.org/10.3982/ECTA9370
p. 609-666

Donald W. K. Andrews, Xiaoxia Shi

In this paper, we propose an instrumental variable approach to constructing confidence sets (CS's) for the true parameter in models defined by conditional moment inequalities/equalities. We show that by properly choosing instrument functions, one can transform conditional moment inequalities/equalities into unconditional ones without losing identification power. Based on the unconditional moment inequalities/equalities, we construct CS's by inverting Cramér–von Mises‐type or Kolmogorov–Smirnov‐type tests. Critical values are obtained using generalized moment selection (GMS) procedures.


Log In To View Full Content

Supplemental Material

Supplement to "Inference Based on Conditional Moment Inequalities"

This supplement provides proofs for the manuscript.

Supplement to "Inference Based on Conditional Moment Inequalities"

This supplement contains replication files for the manuscript.