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Consistent Moment Selection Procedures for Generalized Method of Moments Estimation
Abstract
This paper considers a generalized method of moments GMM estimation problem in which one has a vector of moment conditions, some of which are correct and some incorrect. The paper introduces several procedures for consistently selecting the correct moment conditions. The procedures also can consistently determine whether there is a sufficient number of correct moment conditions to identify the unknown parameters of interest. The paper specifies moment selection criteria that are GMM analogues of the widely Ž.used BIC and AIC model selection criteria. The latter is not consistent. The paper also considers downward and upward testing procedures. All of the moment selection procedures discussed in this paper are based on the minimized values of the GMM criterion function for different vectors of moment conditions. The procedures are applicable in time-series and cross-sectional contexts. Application of the results of the paper to instrumental variables estimation problems yields consistent procedures for selecting instrumental variables.
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Cited by
Covariate Balancing Propensity Score
Imai, K., & Ratkovic, M. (2014) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/rssb.12027 · Cited by 1,315
Kang, H., Zhang, A., Cai, T. T., & Small, D. S. (2016) · Journal of the American Statistical Association · doi:10.1080/01621459.2014.994705 · Cited by 265
On the Use of the Lasso for Instrumental Variables Estimation with Some Invalid Instruments
Windmeijer, F., Farbmacher, H., Davies, N., & Davey Smith, G. (2019) · Journal of the American Statistical Association · doi:10.1080/01621459.2018.1498346 · Cited by 144
“The Andrews (1999) setup is more general than the Kang et al. (2016) setup and requires a large number of model evaluations, which has a negative impact on the performance of the selection procedure.”
Influential
Metadata
- Authors
- Andrews, D. W. K.
- Venue
- Econometrica
- Publisher
- The Econometric Society
- Published
- 1999-05
- Volume
- 67
- Issue
- 3
- Pages
- 543-563
- ISSN
- 0012-9682 (ISSN-L)
- 1468-0262
- OpenAlex
- W2111678864
- Cited by
- 328
- References
- 0
- FWCI
- 4.49
- Type
- journal article
- Language
- en
- Open access
- closed
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- Andrews, D. W. K. (1999). Consistent Moment Selection Procedures for Generalized Method of Moments Estimation. Econometrica. https://doi.org/10.1111/1468-0262.00036
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