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Non-crossing convex quantile regression

Sheng Dai, Timo Kuosmanen and Xun Zhou

Economics Letters, 2023, vol. 233, issue C

Abstract: Quantile crossing is a common phenomenon in shape constrained nonparametric quantile regression. A direct approach to address this problem is to impose 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 maintaining the quantile property. A Monte Carlo study demonstrates the superiority of the proposed penalized approach in addressing the quantile crossing problem.

Keywords: Quantile function; Quantile crossing; Convex quantile regression; Simultaneous estimation; Regularization (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ecolet:v:233:y:2023:i:c:s0165176523004226

DOI: 10.1016/j.econlet.2023.111396

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