Group Identification and Variable Selection in Quantile Regression

Using the Pairwise Absolute Clustering and Sparsity (PACS) penalty, we proposed the regularized quantile regression QR method (QR-PACS). The PACS penalty achieves the elimination of insignificant predictors and the combination of predictors with indistinguishable coefficients (IC), which are the two...

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Main Authors: Ali Alkenani, Basim Shlaibah Msallam
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Journal of Probability and Statistics
Online Access:http://dx.doi.org/10.1155/2019/8504174
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author Ali Alkenani
Basim Shlaibah Msallam
author_facet Ali Alkenani
Basim Shlaibah Msallam
author_sort Ali Alkenani
collection DOAJ
description Using the Pairwise Absolute Clustering and Sparsity (PACS) penalty, we proposed the regularized quantile regression QR method (QR-PACS). The PACS penalty achieves the elimination of insignificant predictors and the combination of predictors with indistinguishable coefficients (IC), which are the two issues raised in the searching for the true model. QR-PACS extends PACS from mean regression settings to QR settings. The paper shows that QR-PACS can yield promising predictive precision as well as identifying related groups in both simulation and real data.
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institution Kabale University
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publishDate 2019-01-01
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spelling doaj-art-60a11ace0ef84f418bb84d15c96042b42025-02-03T00:59:35ZengWileyJournal of Probability and Statistics1687-952X1687-95382019-01-01201910.1155/2019/85041748504174Group Identification and Variable Selection in Quantile RegressionAli Alkenani0Basim Shlaibah Msallam1Department of Statistics, College of Administration and Economics, University of Al-Qadisiyah, IraqSupervision & Scientific Evaluation Office, Ministry of Higher Education and Scientific Research, IraqUsing the Pairwise Absolute Clustering and Sparsity (PACS) penalty, we proposed the regularized quantile regression QR method (QR-PACS). The PACS penalty achieves the elimination of insignificant predictors and the combination of predictors with indistinguishable coefficients (IC), which are the two issues raised in the searching for the true model. QR-PACS extends PACS from mean regression settings to QR settings. The paper shows that QR-PACS can yield promising predictive precision as well as identifying related groups in both simulation and real data.http://dx.doi.org/10.1155/2019/8504174
spellingShingle Ali Alkenani
Basim Shlaibah Msallam
Group Identification and Variable Selection in Quantile Regression
Journal of Probability and Statistics
title Group Identification and Variable Selection in Quantile Regression
title_full Group Identification and Variable Selection in Quantile Regression
title_fullStr Group Identification and Variable Selection in Quantile Regression
title_full_unstemmed Group Identification and Variable Selection in Quantile Regression
title_short Group Identification and Variable Selection in Quantile Regression
title_sort group identification and variable selection in quantile regression
url http://dx.doi.org/10.1155/2019/8504174
work_keys_str_mv AT alialkenani groupidentificationandvariableselectioninquantileregression
AT basimshlaibahmsallam groupidentificationandvariableselectioninquantileregression