2014
DOI: 10.1017/s0266466614000851
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Averaging of an Increasing Number of Moment Condition Estimators

Abstract: We establish the consistency and asymptotic normality for a class of estimators that are linear combinations of a set of √ n-consistent nonlinear estimators whose cardinality increases with sample size. The method can be compared with the usual approaches of combining the moment conditions (GMM) and combining the instruments (IV), and achieves similar objectives of aggregating the available information. One advantage of aggregating the estimators rather than the moment conditions is that it yields robustness t… Show more

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Cited by 20 publications
(12 citation statements)
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“…Recent contributions to the literature on estimation with many moments and on the combination of many estimators include Han and Phillips (2006) and Chen, Jacho-Chávez, and Linton (2016). The OMD procedure discussed in Chen et al (2016) is similar to the estimator introduced in section V, the implementation of which is described in the previous subsection.…”
Section: B Composite Likelihood Estimatormentioning
confidence: 99%
See 1 more Smart Citation
“…Recent contributions to the literature on estimation with many moments and on the combination of many estimators include Han and Phillips (2006) and Chen, Jacho-Chávez, and Linton (2016). The OMD procedure discussed in Chen et al (2016) is similar to the estimator introduced in section V, the implementation of which is described in the previous subsection.…”
Section: B Composite Likelihood Estimatormentioning
confidence: 99%
“…Recent contributions to the literature on estimation with many moments and on the combination of many estimators include Han and Phillips (2006) and Chen, Jacho-Chávez, and Linton (2016). The OMD procedure discussed in Chen et al (2016) is similar to the estimator introduced in section V, the implementation of which is described in the previous subsection. Chen et al (2016) discuss conditions on the rate of growth of the number of estimators with the sample size under which standard inference applies (see, e.g., their theorem 3).…”
Section: B Composite Likelihood Estimatormentioning
confidence: 99%
“…This can be established using for example the arguments of Chen et al (2016), henceforth CJL, who consider averaging of estimators in a different context. In their framework, there is no heterogeneity, i.e., θ 0i = θ 0 for all i.…”
Section: Asymptotic Theory For the Mean Group Estimatormentioning
confidence: 99%
“…θ i is consistent and asymptotically normal at rate √ N . This can be established using for example the arguments of Chen et al (2016), henceforth CJL, who consider averaging of estimators in a different context. In their framework, there is no heterogeneity, i.e., θ 0i = θ 0 for all i.…”
Section: Asymptotic Theory For the Mean Group Estimatormentioning
confidence: 99%