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Constrained Conditional Moment Restriction Models

delete2023-01-01
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OA
AI
V
Victor Chernozhukov *
W
Whitney K. Newey
DOI:10.3982/ECTA13830delete
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Abstract

Abstract

En 中文
Shape restrictions have played a central role in economics as both testable implications of theory and sufficient conditions for obtaining informative counterfactual predictions. In this paper, we provide a general procedure for inference under shape restrictions in identified and partially identified models defined by conditional moment restrictions. Our test statistics and proposed inference methods are based on the minimum of the generalized method of moments (GMM) objective function with and without shape restrictions. Uniformly valid critical values are obtained through a bootstrap procedure that approximates a subset of the true local parameter space. In an empirical analysis of the effect of childbearing on female labor supply, we show that employing shape restrictions in linear instrumental variables (IV) models can lead to shorter confidence regions for both local and average treatment effects. Other applications we discuss include inference for the variability of quantile IV treatment effects and for bounds on average equivalent variation in a demand model with general heterogeneity.
Keywords:
Shape restrictions
inference on functionals
conditional moment (in)equality restrictions
instrumental variables
nonparametric and semiparametric models
Banach space
Banach lattice
Koltchinskii coupling

Journal

Econometrica cover
Econometrica
IF:
7.1
Papers:
3.0K
Citations:
4.3W

Organization

University of California System cover
University of California System
Scholars:
37.7W
Papers: 33.8W
Citations: 6.6K
Cited Papers

Cited Papers

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INDIVIDUAL HETEROGENEITY AND AVERAGE WELFARE
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errHausman, Jerry A.; Newey, Whitney K.
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Estudo de fidedignidade do instrumento neuropsicológico Iowa Gambling Task
err2010-01-01
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errCaroline de Oliveira Cardoso; Janaína Castro Núñez Carvalho; Charles Cotrena; Daniela di Giorgio Schneider Bakos; Christian Haag Kristensen; Rochele Paz Fonseca
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Confidence Intervals for Projections of Partially Identified Parameters
err2019-01-01
err45
errOAAI
errKaido, Hiroaki; Molinari, Francesca; Stoye, Jorg
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