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Efficient Estimation with Many Weak Instruments Using Regularization Techniques

Tchuente, Guy, Carrasco, Marine (2015) Efficient Estimation with Many Weak Instruments Using Regularization Techniques. Econometric Reviews, 35 (8-10). pp. 1609-1637. ISSN 0747-4938. E-ISSN 1532-4168. (doi:10.1080/07474938.2015.1092806) (KAR id:53783)

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http://dx.doi.org/10.1080/07474938.2015.1092806

Abstract

The problem of weak instruments is due to a very small concentration parameter. To boost the concentration parameter, we propose to increase the number of instruments to

a large number or even up to a continuum. However, in finite samples, the inclusion of an excessive number of moments may be harmful. To address this issue, we use regularization techniques as in Carrasco (2012) and Carrasco and Tchuente (2014). We show that normalized regularized two-stage least squares (2SLS) and limited maximum likelihood (LIML) are consistent and asymptotically normally distributed. Moreover, our estimators are asymptotically more efficient than most competing estimators. Our simulations show that the leading regularized estimators (LF and T of LIML) work very well (are nearly median unbiased) even in the case of relatively weak instruments. An application to the effect of

institutions on output growth completes the article.

Item Type: Article
DOI/Identification number: 10.1080/07474938.2015.1092806
Uncontrolled keywords: 2SLS; LIML; Many weak instruments; Regularization methods; Semiparametric efficiency bound; C13
Subjects: H Social Sciences > HA Statistics
Divisions: Divisions > Division of Human and Social Sciences > School of Economics
Depositing User: Guy Tchuente Nguembu
Date Deposited: 20 Jan 2016 13:14 UTC
Last Modified: 15 Sep 2021 15:24 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/53783 (The current URI for this page, for reference purposes)
Tchuente, Guy: https://orcid.org/0000-0001-8507-3337
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