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On double-index dimension reduction for partially functional data

Guangren Yang, Hongmei Lin and Heng Lian

Journal of Nonparametric Statistics, 2019, vol. 31, issue 3, 761-768

Abstract: In this note, we consider the situation where we have a functional predictor as well as some more traditional scalar predictors, which we call the partially functional problem. We propose a semiparametric model based on sufficient dimension reduction, and thus our main interest is in dimension reduction although prediction can be carried out at a second stage. We establish root-n consistency of the linear part of the estimator. Some Monte Carlo studies are carried out as proof of concept.

Date: 2019
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DOI: 10.1080/10485252.2019.1632308

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