Inference for Misspecified Models With Fixed Regressors

B-Tier
Journal: Journal of the American Statistical Association
Year: 2014
Volume: 109
Issue: 508
Pages: 1601-1614

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

Following the work by Eicker, Huber, and White it is common in empirical work to report standard errors that are robust against general misspecification. In a regression setting, these standard errors are valid for the parameter that minimizes the squared difference between the conditional expectation and a linear approximation, averaged over the population distribution of the covariates. Here, we discuss an alternative parameter that corresponds to the approximation to the conditional expectation based on minimization of the squared difference averaged over the sample, rather than the population, distribution of the covariates. We argue that in some cases this may be a more interesting parameter. We derive the asymptotic variance for this parameter, which is generally smaller than the Eicker-Huber-White robust variance, and propose a consistent estimator for this asymptotic variance. Supplementary materials for this article are available online.

Technical Details

RePEc Handle
repec:taf:jnlasa:v:109:y:2014:i:508:p:1601-1614
Journal Field
Econometrics
Author Count
3
Added to Database
2026-01-24