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Does the constraint matter? A note on the asymptotic properties of nonparametric instrumental variable estimation under monotonicity shape constraint

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ABSTRACT I show that constrained monotone instrumental variable estimators are asymptotically equivalent to their unconstrained counterparts whenever the true regression function is in the interior of the constrained set. In… Click to show full abstract

ABSTRACT I show that constrained monotone instrumental variable estimators are asymptotically equivalent to their unconstrained counterparts whenever the true regression function is in the interior of the constrained set. In a simulation study, a sieve-based constrained estimator is shown to outperform the unconstrained one even in cases where both are asymptotically equivalent.

Keywords: note asymptotic; instrumental variable; asymptotic properties; constraint matter; constraint; matter note

Journal Title: Applied Economics Letters
Year Published: 2018

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