Jackknife Instrumental Variable Inference

Fuente: arXiv
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Main Authors: Crudu, Federico, Mellace, Giovanni, Sándor, Zsolt
Format: Preprint
Published: 2026
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author Crudu, Federico
Mellace, Giovanni
Sándor, Zsolt
author_facet Crudu, Federico
Mellace, Giovanni
Sándor, Zsolt
contents This paper introduces a class of jackknife-based test statistics for linear regression models with endogeneity and heteroskedasticity in the presence of many potentially weak instrumental variables. The tests may be used when considering hypotheses on the full parameter vector or hypotheses defined as linear restrictions. We show that in the limit and under the null the proposed statistics are distributed as a combination of chi squares but by modifying the objective function we derive more familiar chi square limits. An extensive simulation study shows the competitive finite sample properties of the proposed tests in particular against Anderson-Rubin-type of statistics. Finally, we provide an empirical illustration that applies the proposed tests to study the effect of alcohol consumption on body mass index using genetic variants as instrumental variables using the UK Biobank.
format Preprint
id arxiv_https___arxiv_org_abs_2604_15437
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Jackknife Instrumental Variable Inference
Crudu, Federico
Mellace, Giovanni
Sándor, Zsolt
Econometrics
This paper introduces a class of jackknife-based test statistics for linear regression models with endogeneity and heteroskedasticity in the presence of many potentially weak instrumental variables. The tests may be used when considering hypotheses on the full parameter vector or hypotheses defined as linear restrictions. We show that in the limit and under the null the proposed statistics are distributed as a combination of chi squares but by modifying the objective function we derive more familiar chi square limits. An extensive simulation study shows the competitive finite sample properties of the proposed tests in particular against Anderson-Rubin-type of statistics. Finally, we provide an empirical illustration that applies the proposed tests to study the effect of alcohol consumption on body mass index using genetic variants as instrumental variables using the UK Biobank.
title Jackknife Instrumental Variable Inference
topic Econometrics
url https://arxiv.org/abs/2604.15437