Finite sample bias corrected IV estimation for weak and many instruments

Matthew C. Harding, Jerry Hausman and Christopher Palmer

No 41/15, CeMMAP working papers from Institute for Fiscal Studies

Abstract: This paper considers the finite sample distribution of the 2SLS estimator and derives bounds on its exact bias in the presence of weak and/or many instruments. We then contrast the behavior of the exact bias expressions and the asymptotic expansions currently popular in the literature, including a consideration of the no-moment problem exhibited by many Nagar-type estimators. After deriving a finite sample unbiased k-class estimator, we introduce a double k-class estimator based on Nagar (1962) that dominates k-class estimators (including 2SLS), especially in the cases of weak and/or many instruments. We demonstrate these properties in Monte Carlo simulations showing that our preferred estimators outperforms Fuller (1977) estimators in terms of mean bias and MSE.

Date: 2015-07-21
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Persistent link: https://EconPapers.repec.org/RePEc:azt:cemmap:41/15

DOI: 10.1920/wp.cem.2015.4115

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