INFERENCE IN INSTRUMENTAL VARIABLE MODELS WITH HETEROSKEDASTICITY AND MANY INSTRUMENTS

B-Tier
Journal: Econometric Theory
Year: 2021
Volume: 37
Issue: 2
Pages: 281-310

Authors (3)

Crudu, Federico (not in RePEc) Mellace, Giovanni (Syddansk Universitet) Sándor, Zsolt (not in RePEc)

Score contribution per author:

0.670 = (α=2.01 / 3 authors) × 1.0x B-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

This paper proposes novel inference procedures for instrumental variable models in the presence of many, potentially weak instruments that are robust to the presence of heteroskedasticity. First, we provide an Anderson–Rubin-type test for the entire parameter vector that is valid under assumptions weaker than previously proposed Anderson–Rubin-type tests. Second, we consider the case of testing a subset of parameters under the assumption that a consistent estimator for the parameters not under test exists. We show that under the null, the proposed statistics have Gaussian limiting distributions and derive alternative chi-square approximations. An extensive simulation study shows the competitive finite sample properties in terms of size and power of our procedures. Finally, we provide an empirical application using college proximity instruments to estimate the returns to education.

Technical Details

RePEc Handle
repec:cup:etheor:v:37:y:2021:i:2:p:281-310_3
Journal Field
Econometrics
Author Count
3
Added to Database
2026-01-25