Location Properties of Point Estimators in Linear Instrumental Variables and Related Models

Keisuke Hirano, Jack R. Porter

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We examine statistical models, including the workhorse linear instrumental variables model, in which the mapping from the reduced form distribution to the structural parameters of interest is singular. The singularity of this mapping implies certain fundamental restrictions on the finite sample properties of point estimators: they cannot be unbiased, quantile-unbiased, or translation equivariant. The nonexistence of unbiased estimators does not rule out bias reduction of standard estimators, but implies that the bias-variance tradeoff cannot be avoided and needs to be considered carefully. The results can also be extended to weak instrument asymptotics by using the limits of experiments framework.

Original languageEnglish (US)
Pages (from-to)720-733
Number of pages14
JournalEconometric Reviews
Volume34
Issue number6-10
DOIs
StatePublished - May 22 2015

Fingerprint

Instrumental variables
Estimator
Statistical model
Singularity
Trade-offs
Experiment
Bias reduction
Reduced form
Weak instruments
Structural parameters
Quantile
Finite sample properties

All Science Journal Classification (ASJC) codes

  • Economics and Econometrics

Cite this

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Location Properties of Point Estimators in Linear Instrumental Variables and Related Models. / Hirano, Keisuke; Porter, Jack R.

In: Econometric Reviews, Vol. 34, No. 6-10, 22.05.2015, p. 720-733.

Research output: Contribution to journalArticle

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