Xu, Mengshan and Otsu, Taisuke (2020) Score estimation of monotone partially linear index model. Journal of Nonparametric Statistics, 32 (4). pp. 838-863. ISSN 1048-5252
Text (Score estimation of monotone partially linear index model)
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Abstract
This paper studies semiparametric estimation of a partially linear single index model with a monotone link function. Our estimator is an extension of the score-type estimator developed by Balabdaoui et al. (2019) for the monotone single index model, which profiles out the unknown link function by isotonic regression. An attractive feature of the proposed estimator is that it is free from tuning parameters for nonparametric smoothing. We show that our estimator for the finite-dimensional components is √n- consistent and asymptotically normal. By introducing an additional smoothing to obtain the efficient score, we propose an asymptotically efficient estimator for the finite-dimensional components. Furthermore, we establish the asymptotic validity of a bootstrap inference method based the score-type estimator, which is also free from tuning parameters. A simulation study illustrates the usefulness of the proposed method.
Item Type: | Article |
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Official URL: | https://www.tandfonline.com/toc/gnst20/current |
Additional Information: | © 2020 American Statistical Association and Taylor & Francis |
Divisions: | Economics |
Subjects: | H Social Sciences > HA Statistics |
Date Deposited: | 05 Oct 2020 09:06 |
Last Modified: | 14 Sep 2024 08:24 |
URI: | http://eprints.lse.ac.uk/id/eprint/106698 |
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