2014
DOI: 10.2139/ssrn.2427137
|View full text |Cite
|
Sign up to set email alerts
|

Additive Nonparametric Regression in the Presence of Endogenous Regressors

Abstract: In this paper we consider nonparametric estimation of a structural equation model under full additivity constraint. We propose estimators for both the conditional mean and gradient which are consistent, asymptotically normal, oracle efficient and free from curse of dimensionality. Monte Carlo simulations support the asymptotic developments. We employ a partially linear extension of our model to study the relationship between child care and cognitive outcomes. Some of our (average) results are consistent with t… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1
1

Citation Types

0
5
0

Year Published

2016
2016
2019
2019

Publication Types

Select...
4
1

Relationship

1
4

Authors

Journals

citations
Cited by 5 publications
(5 citation statements)
references
References 38 publications
0
5
0
Order By: Relevance
“…This estimator is applicable to the economic studies, where the endogenous variable has a potential interaction effect with the other regressors on the response variable. For example, child care use may have a potential indirect effect on students' test scores that can be modeled as in the functional coefficient form that varies with respect to mother's education, age, and experience, among other regressors (see Bernal and Keane (2011) for a parametric estimation and full description of the regressors and Ozabaci et al (2014) for an additive nonparametric regression estimation).…”
mentioning
confidence: 99%
“…This estimator is applicable to the economic studies, where the endogenous variable has a potential interaction effect with the other regressors on the response variable. For example, child care use may have a potential indirect effect on students' test scores that can be modeled as in the functional coefficient form that varies with respect to mother's education, age, and experience, among other regressors (see Bernal and Keane (2011) for a parametric estimation and full description of the regressors and Ozabaci et al (2014) for an additive nonparametric regression estimation).…”
mentioning
confidence: 99%
“…Specifically, we successfully replicate Nunn and Qian () and further consider semiparametric models developed by Ozabaci et al. () (hereafter OHS) to test their claims regarding heterogeneous estimates. Although we find some evidence of nonlinearities, we are unable to statistically show that our estimates differ from those in the aforementioned paper.…”
Section: Introductionmentioning
confidence: 64%
“…Assumption 2 (i)-(ii) ensures the existence ofθ (γ), which is standard in the literature; see, e.g., Newey (1997) and Ozabaci, Henderson, and Su (2014). As the eigenvalues of a squared matrix are a continuous function of the matrix, the uniform boundness holds over a compact set γ, γ as long as the eigenvalues are bounded pointwise.…”
Section: Limiting Resultsmentioning
confidence: 99%