Partial linear quantile regression model with incompletely observed functional covariates

Nengxiang Ling, Yujie Yang and Qianqian Peng

Journal of Nonparametric Statistics, 2025, vol. 37, issue 3, 713-739

Abstract: In this paper, we investigate the partial linear quantile regression model with incomplete observation for functional covariates. Concretely, we first construct the estimators of the unknown slope function and the unknown parameters of the model. Then, the asymptotic properties of the estimators are established under some mild conditions. Thirdly, some simulation studies are carried out to show the effectiveness of the model. Finally, we give an application to analyse the real Air Quality Index (AQI) dataset with functional feature which was incompletely observed from the Beijing Environmental Monitoring Center.

Date: 2025
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DOI: 10.1080/10485252.2025.2459707

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