GMM redundancy results for general missing data problems. / Prokhorov, Artem; Schmidt, Peter.
In: Journal of Econometrics, Vol. 151, No. 1, 01.07.2009, p. 47-55.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - GMM redundancy results for general missing data problems
AU - Prokhorov, Artem
AU - Schmidt, Peter
PY - 2009/7/1
Y1 - 2009/7/1
N2 - We consider questions of efficiency and redundancy in the GMM estimation problem in which we have two sets of moment conditions, where two sets of parameters enter into one set of moment conditions, while only one set of parameters enters into the other. We then apply these results to a selectivity problem in which the first set of moment conditions is for the model of interest, and the second set of moment conditions is for the selection process. We use these results to explain the counterintuitive result in the literature that, under an ignorability assumption that justifies GMM with weighted moment conditions, weighting using estimated probabilities of selection is better than weighting using the true probabilities. We also consider estimation under an exogeneity of selection assumption such that both the unweighted and the weighted moment conditions are valid, and we show that when weighting is not needed for consistency, it is also not useful for efficiency.
AB - We consider questions of efficiency and redundancy in the GMM estimation problem in which we have two sets of moment conditions, where two sets of parameters enter into one set of moment conditions, while only one set of parameters enters into the other. We then apply these results to a selectivity problem in which the first set of moment conditions is for the model of interest, and the second set of moment conditions is for the selection process. We use these results to explain the counterintuitive result in the literature that, under an ignorability assumption that justifies GMM with weighted moment conditions, weighting using estimated probabilities of selection is better than weighting using the true probabilities. We also consider estimation under an exogeneity of selection assumption such that both the unweighted and the weighted moment conditions are valid, and we show that when weighting is not needed for consistency, it is also not useful for efficiency.
KW - Generalized method of moments
KW - Inverse probability weighting
KW - Missing at random
KW - Selectivity
UR - http://www.scopus.com/inward/record.url?scp=67349177775&partnerID=8YFLogxK
U2 - 10.1016/j.jeconom.2009.03.010
DO - 10.1016/j.jeconom.2009.03.010
M3 - Article
AN - SCOPUS:67349177775
VL - 151
SP - 47
EP - 55
JO - Journal of Econometrics
JF - Journal of Econometrics
SN - 0304-4076
IS - 1
ER -
ID: 36345428