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Author:

Li, Xiang-Jie (Li, Xiang-Jie.) | Ma, Xue-Jun (Ma, Xue-Jun.) | Zhang, Jing-Xiao (Zhang, Jing-Xiao.)

Indexed by:

Scopus SCIE

Abstract:

This article is concerned with feature screening for varying coefficient models with ultrahigh-dimensional predictors. We propose a new sure independence screening method based on quantile partial correlation (QPC-SIS), which is quite robust against outliers and heavy-tailed distributions. Then we establish the sure screening property for the QPC-SIS, and conduct simulations to examine its finite sample performance. The results of simulation study indicate that the QPC-SIS performs better than other methods like sure independent screening (SIS), sure independent ranking and screening, distance correlation-sure independent screening, conditional correlation sure independence screening and nonparametric independent screening, which shows the validity and rationality of QPC-SIS.

Keyword:

Feature screening Ultrahigh-dimensional data Quantile partial correlation Varying coefficient model

Author Community:

  • [ 1 ] [Li, Xiang-Jie]Renmin Univ China, Sch Stat, Ctr Appl Stat, Beijing 100872, Peoples R China
  • [ 2 ] [Zhang, Jing-Xiao]Renmin Univ China, Sch Stat, Ctr Appl Stat, Beijing 100872, Peoples R China
  • [ 3 ] [Ma, Xue-Jun]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Zhang, Jing-Xiao]Renmin Univ China, Sch Stat, Ctr Appl Stat, Beijing 100872, Peoples R China

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Source :

METRIKA

ISSN: 0026-1335

Year: 2017

Issue: 1

Volume: 80

Page: 17-49

0 . 7 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:66

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 2

SCOPUS Cited Count: 3

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 6

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