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Author:

Yu, Ping (Yu, Ping.) | Song, Xinyuan (Song, Xinyuan.) | Du, Jiang (Du, Jiang.)

Indexed by:

Scopus SCIE

Abstract:

Recent research and substantive studies have shown growing interest in expectile regression (ER) procedures. Similar to quantile regression, ER with respect to different expectile levels can provide a comprehensive picture of the conditional distribution of a response variable given predictors. This study proposes three composite -type ER estimators to improve estimation accuracy. The proposed ER estimators include the composite estimator, which minimizes the composite expectile objective function across expectiles; the weighted expectile average estimator, which takes the weighted average of expectile-specific estimators; and the weighted composite estimator, which minimizes the weighted composite expectile objective function across expectiles. Under certain regularity conditions, we derive the convergence rate of the slope function, obtain the mean squared prediction error, and establish the asymptotic normality of the slope vector. Simulations are conducted to assess the empirical performances of various estimators. An application to the analysis of capital bike share data is presented. The numerical evidence endorses our theoretical results and confirm the superiority of the composite -type ER estimators to the conventional least squares and single ER estimators.

Keyword:

Composite ER Optimal weights Weighted composite ER Weighted expectile average estimator Functional principal component analysis

Author Community:

  • [ 1 ] [Yu, Ping]Shanxi Normal Univ, Sch Math & Comp Sci, Taiyuan 030031, Peoples R China
  • [ 2 ] [Song, Xinyuan]Chinese Univ Hong Kong, Dept Stat, Hong Kong 999077, Peoples R China
  • [ 3 ] [Du, Jiang]Beijing Univ Technol, Sch Math Stat & Mech, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Song, Xinyuan]Chinese Univ Hong Kong, Dept Stat, Hong Kong 999077, Peoples R China;;

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Source :

JOURNAL OF MULTIVARIATE ANALYSIS

ISSN: 0047-259X

Year: 2024

Volume: 203

1 . 6 0 0

JCR@2022

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: 1

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