arXiv 25 Oct 2021 · Econometrics · publishedEconometric Theory (2024) · 2 citations (OpenAlex)
arXiv:2110.12722 · PDF · DOI · OpenAlex · Extracted main text
Functional linear regression gets its popularity as a statistical tool to study the relationship between function-valued response and exogenous explanatory variables. However, in practice, it is hard to expect that the explanatory variables of interest are perfectly exogenous, due to, for example, the presence of omitted variables and measurement error. Despite its empirical relevance, it was not until recently that this issue of endogeneity was studied in the literature on functional regression, and the development in this direction does not seem to sufficiently meet practitioners' needs; for example, this issue has been discussed with paying particular attention on consistent estimation and thus distributional properties of the proposed estimators still remain to be further explored. To fill this gap, this paper proposes new consistent FPCA-based instrumental variable estimators and develops their asymptotic properties in detail. Simulation experiments under a wide range of settings show that the proposed estimators perform considerably well. We apply our methodology to estimate the impact of immigration on native wages.
appendix boundary found by appendix_titled_section at “Appendix to Section \ref{sec:estimators} on ``Functional IV estimator" \label{sec:pf}” · 44% of the source is main text. Read the extracted text to check this.
The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.
| Reference | Intensity | Mentions | Sections | Main text | |
|---|---|---|---|---|---|
| 1 | Chen, C., S. Guo, and X. Qiao (2022) Functional linear regression: Dependence and error contamination | 1.000 | 9 | 3 | 100% |
| 2 | Hall, P. and J. L. Horowitz (2007) Methodology and convergence rates for functional linear regression | 1.000 | 8 | 3 | 100% |
| 3 | Benatia, D., M. Carrasco, and J.-P. Florens (2017) Functional linear regression with functional response | 0.967 | 21 | 6 | 90% |
| 4 | Park, J. Y. and J. Qian (2012) Functional regression of continuous state distributions | 0.965 | 10 | 5 | 90% |
| 5 | Florens, J.-P. and S. Van Bellegem (2015) Instrumental variable estimation in functional linear models | 0.928 | 4 | 3 | 100% |
| 6 | Mas, A (2007) Weak convergence in the functional autoregressive model | 0.874 | 9 | 2 | 100% |
| 7 | Imaizumi, M. and K. Kato (2018) PCA-based estimation for functional linear regression with functional responses | 0.855 | 8 | 3 | 62% |
| 8 | Horváth, L. and P. Kokoszka (2012) Inference for Functional Data with Applications | 0.737 | 3 | 3 | 67% |
| 9 | Ramsay, J. O. and B. W. Silverman (2005) Functional Data Analysis | 0.737 | 3 | 3 | 67% |
| 10 | Card, D (2009) Immigration and inequality | 0.737 | 3 | 2 | 100% |
Showing the top 10 of 53 scored citations.
arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.