Expectile Regression With Errors-in-Variables

This paper studies the expectile regression with error-in-variables to reduce the data error and describe the overall data distribution. Specifically, the asymptotic normality of the proposed estimator is thoroughly investigated, and an IRWLS algorithm based on orthogonal distance expectile regressi...

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Main Authors: Xiaoxia He, Xiaodan Zhou, Chunli Li
Format: Article
Language:English
Published: IEEE 2023-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/10155447/
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author Xiaoxia He
Xiaodan Zhou
Chunli Li
author_facet Xiaoxia He
Xiaodan Zhou
Chunli Li
author_sort Xiaoxia He
collection DOAJ
description This paper studies the expectile regression with error-in-variables to reduce the data error and describe the overall data distribution. Specifically, the asymptotic normality of the proposed estimator is thoroughly investigated, and an IRWLS algorithm based on orthogonal distance expectile regression (ODER) is proposed to estimate the parameters. Extensive simulation studies and real data applications evaluate our method’s capabilities in reducing the measurement error bias, demonstrating our model’s parameter estimation effectiveness, and its capability in reducing the simulation error compared with linear and quantile regression schemes.
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spelling doaj.art-81770dd6572b473a9f0e89aec1b867092023-06-29T23:00:23ZengIEEEIEEE Access2169-35362023-01-0111631166312510.1109/ACCESS.2023.328757110155447Expectile Regression With Errors-in-VariablesXiaoxia He0https://orcid.org/0000-0002-0275-5891Xiaodan Zhou1Chunli Li2College of Science, Wuhan University of Science and Technology, Wuhan, ChinaCollege of Science, Wuhan University of Science and Technology, Wuhan, ChinaCollege of Science, Wuhan University of Science and Technology, Wuhan, ChinaThis paper studies the expectile regression with error-in-variables to reduce the data error and describe the overall data distribution. Specifically, the asymptotic normality of the proposed estimator is thoroughly investigated, and an IRWLS algorithm based on orthogonal distance expectile regression (ODER) is proposed to estimate the parameters. Extensive simulation studies and real data applications evaluate our method’s capabilities in reducing the measurement error bias, demonstrating our model’s parameter estimation effectiveness, and its capability in reducing the simulation error compared with linear and quantile regression schemes.https://ieeexplore.ieee.org/document/10155447/Errors-in-variablesexpectile regressionIRWLS algorithmorthogonal distance regression
spellingShingle Xiaoxia He
Xiaodan Zhou
Chunli Li
Expectile Regression With Errors-in-Variables
IEEE Access
Errors-in-variables
expectile regression
IRWLS algorithm
orthogonal distance regression
title Expectile Regression With Errors-in-Variables
title_full Expectile Regression With Errors-in-Variables
title_fullStr Expectile Regression With Errors-in-Variables
title_full_unstemmed Expectile Regression With Errors-in-Variables
title_short Expectile Regression With Errors-in-Variables
title_sort expectile regression with errors in variables
topic Errors-in-variables
expectile regression
IRWLS algorithm
orthogonal distance regression
url https://ieeexplore.ieee.org/document/10155447/
work_keys_str_mv AT xiaoxiahe expectileregressionwitherrorsinvariables
AT xiaodanzhou expectileregressionwitherrorsinvariables
AT chunlili expectileregressionwitherrorsinvariables