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Author:

Zhao, Xinyi (Zhao, Xinyi.) | Rong, Yaohua (Rong, Yaohua.) | Tian, Maozai (Tian, Maozai.)

Indexed by:

Scopus SCIE

Abstract:

Quantile regression has been attractive due to its interpretability and robustness, which is a useful tool in regression analysis. Moreover, the relationship between response and some covariates is complex nonlinearity in real data, and there probably exists high-order interaction effects between covariates. Furthermore, the irrelevant covariates included in the model lead to unsatisfactory prediction results. Inspired by this, we propose a novel estimation and variable selection method of the semiparametric quantile regression. The unknown function is estimated by the kernel machine technique, and the LASSO penalty is applied to achieve variable selection in the nonlinear part. Importantly, we introduce slack variables to solve the limitations of the quantile loss function in optimization problems, and solve the optimization problem of nonlinear functions through local linear approximation technology. The proposed estimator is easy-to-implement via an efficient cyclical coordinate descent algorithm. Both simulations and real applications demonstrate the convincing performance of the proposed estimator.

Keyword:

LASSO Kernel machine Semiparametric quantile regression Reproducing kernel Hilbert space Variable selection

Author Community:

  • [ 1 ] [Zhao, Xinyi]Renmin Univ China, Ctr Appl Stat, Sch Stat, 59 Zhongguancun St, Beijing 100872, Peoples R China
  • [ 2 ] [Tian, Maozai]Renmin Univ China, Ctr Appl Stat, Sch Stat, 59 Zhongguancun St, Beijing 100872, Peoples R China
  • [ 3 ] [Zhao, Xinyi]Beijing Univ Technol, Sch Math Stat & Mech, 100 Pingleyuan, Beijing 100124, Peoples R China
  • [ 4 ] [Rong, Yaohua]Beijing Univ Technol, Sch Math Stat & Mech, 100 Pingleyuan, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Tian, Maozai]Renmin Univ China, Ctr Appl Stat, Sch Stat, 59 Zhongguancun St, Beijing 100872, Peoples R China;;[Rong, Yaohua]Beijing Univ Technol, Sch Math Stat & Mech, 100 Pingleyuan, Beijing 100124, Peoples R China

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Source :

JOURNAL OF THE KOREAN STATISTICAL SOCIETY

ISSN: 1226-3192

Year: 2024

Issue: 1

Volume: 54

Page: 284-313

0 . 6 0 0

JCR@2022

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 6

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