Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/260389 
Year of Publication: 
2022
Series/Report no.: 
cemmap working paper No. CWP08/22
Publisher: 
Centre for Microdata Methods and Practice (cemmap), London
Abstract: 
We develop a practical way of addressing the Errors-In-Variables (EIV) problem in the Generalized Method of Moments (GMM) framework. We focus on the settings in which the variance of the measurement errors is a fraction of that of the mismeasured variables, which is typical for empirical applications. For any initial set of moment conditions our approach provides a 'corrected' set of moment conditions that do not suffer from the EIV bias. The EIV-robust estimator is then computed as a standard GMM estimator with these corrected moment conditions. We show that our estimator is Ín-consistent, and that the standard tests and confidence intervals provide valid inference. This is true even when the EIV are so large that the naive estimator (that ignores the EIV problem) may have a large bias with confidence intervals having 0% coverage. Our approach requires no nonparametric estimation, which can be particularly useful when the measurement errors are multivariate, serially correlated, or non-classical.
Subjects: 
Errors-In-Variables
measurement error robust GMM
moment conditions
nonstandard asymptotic approximation
Persistent Identifier of the first edition: 
Document Type: 
Working Paper

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