Non-crossing convex quantile regression

Fuente: arXiv
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Main Authors: Dai, Sheng, Kuosmanen, Timo, Zhou, Xun
Format: Preprint
Published: 2022
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author Dai, Sheng
Kuosmanen, Timo
Zhou, Xun
author_facet Dai, Sheng
Kuosmanen, Timo
Zhou, Xun
contents Quantile crossing is a common phenomenon in shape constrained nonparametric quantile regression. A recent study by Wang et al. (2014) has proposed to address this problem by imposing non-crossing constraints to convex quantile regression. However, the non-crossing constraints may violate an intrinsic quantile property. This paper proposes a penalized convex quantile regression approach that can circumvent quantile crossing while better maintaining the quantile property. A Monte Carlo study demonstrates the superiority of the proposed penalized approach in addressing the quantile crossing problem.
format Preprint
id arxiv_https___arxiv_org_abs_2204_01371
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Non-crossing convex quantile regression
Dai, Sheng
Kuosmanen, Timo
Zhou, Xun
Methodology
Applications
Quantile crossing is a common phenomenon in shape constrained nonparametric quantile regression. A recent study by Wang et al. (2014) has proposed to address this problem by imposing non-crossing constraints to convex quantile regression. However, the non-crossing constraints may violate an intrinsic quantile property. This paper proposes a penalized convex quantile regression approach that can circumvent quantile crossing while better maintaining the quantile property. A Monte Carlo study demonstrates the superiority of the proposed penalized approach in addressing the quantile crossing problem.
title Non-crossing convex quantile regression
topic Methodology
Applications
url https://arxiv.org/abs/2204.01371