Instrumental variable estimation with heteroskedasticity and many instruments
Name
Hausman_et_al-2012-Quantitative_Economics.pdf
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428.15 KB
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Author(s)
Woutersen, Tiemen
Chao, John C.
Swanson, Norman R.
Hausman, Jerry A
Newey, Whitney K
Date Issued
July 2012
Journal
Quantitative Economics
Publisher
The Econometric Society
Citation
Hausman, Jerry A. et al. “Instrumental Variable Estimation with Heteroskedasticity and Many Instruments.” Quantitative Economics 3, 2 (July 2012): 211–255 © 2012 The Author(s)
Version
Final published version
Abstract
This paper gives a relatively simple, well behaved solution to the problem of many instruments in heteroskedastic data. Such settings are common in microeconometric applications where many instruments are used to improve efficiency and allowance for heteroskedasticity is generally important. The solution is a Fuller (1977) like estimator and standard errors that are robust to heteroskedasticity and many instruments. We show that the estimator has finite moments and high asymptotic efficiency in a range of cases. The standard errors are easy to compute, being like White's (1982), with additional terms that account for many instruments. They are consistent under standard, many instrument, and many weak instrument asymptotics. We find that the estimator is asymptotically as efficient as the limited‐information maximum likelihood (LIML) estimator under many weak instruments. In Monte Carlo experiments, we find that the estimator performs as well as LIML or Fuller (1977) under homoskedasticity, and has much lower bias and dispersion under heteroskedasticity, in nearly all cases considered. Keywords: Instrumental variables; heteroskedasticity; many instruments; jack-knife
MIT Department
Massachusetts Institute of Technology. Department of Economics
Terms of Use
Creative Commons Attribution-NonCommercial 3.0 Unported
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DOI of Published Version
https://doi.org/10.3982/QE89
