English

Nonparametric Identification and Estimation with Non-Classical Errors-in-Variables

Econometrics 2024-03-19 v1

Abstract

This paper considers nonparametric identification and estimation of the regression function when a covariate is mismeasured. The measurement error need not be classical. Employing the small measurement error approximation, we establish nonparametric identification under weak and easy-to-interpret conditions on the instrumental variable. The paper also provides nonparametric estimators of the regression function and derives their rates of convergence.

Keywords

Cite

@article{arxiv.2403.11309,
  title  = {Nonparametric Identification and Estimation with Non-Classical Errors-in-Variables},
  author = {Kirill S. Evdokimov and Andrei Zeleneev},
  journal= {arXiv preprint arXiv:2403.11309},
  year   = {2024}
}
R2 v1 2026-06-28T15:23:25.763Z