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The Integrated Instrumental Variables Estimator: Exploiting Nonlinearities for Identification of Linear Models

25 Pages Posted: 11 Feb 2010  

Juan Carlos Escanciano

Indiana University Bloomington - Department of Economics

Date Written: February 2, 2010

Abstract

A new estimator for linear models with endogenous regressors and strictly exogenous instruments is proposed. The new estimator, called the Integrated Instrumental Variables (IIV) estimator, only requires minimal assumptions to identify the true parameters, thereby providing a potential robust alternative to classical Instrumental Variables (IV) methods when instruments and endogenous variables are partially uncorrelated (i.e. weak identi…cation holds) but are non-linearly dependent. The IIV estimator is simple to compute, as it can be written as a weighted least squares estimator and it does not require to solve an ill-posed problem and the subsequent regularization. Monte Carlo evidence suggests that the IIV estimator can be a valuable alternative to IV and optimal IV in …nite samples under weak identi…cation. An application to estimating the elasticity of intertemporal substitution highlights the merits of the proposed approach over classical IV methods.

Keywords: Identi…cation, Instrumental variables, Weak instruments, E¢cient IV, Intertemporal elasticity of substitution

JEL Classification: C13

Suggested Citation

Escanciano, Juan Carlos, The Integrated Instrumental Variables Estimator: Exploiting Nonlinearities for Identification of Linear Models (February 2, 2010). Available at SSRN: https://ssrn.com/abstract=1550332 or http://dx.doi.org/10.2139/ssrn.1550332

Juan Carlos Escanciano (Contact Author)

Indiana University Bloomington - Department of Economics ( email )

Wylie Hall
Bloomington, IN 47405-6620
United States
812-855-7925 (Phone)
812-855-3736 (Fax)

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