In this paper we propose a new Mixed-Effects Quantile Regression Forest by generalizing the Quantile Regression Forest approach to longitudinal data. The inferential procedure is based on the Nonparametric Maximum Likelihood exploiting the Asymmetric Laplace distribution tool. The performance of the ME-QRF is tested in a simulation study and compared with the results of standard quantile regression models. Finally, the ME-QRF is applied to a data set for analysing the effect of the tratment on lead-exposed children.

New advances in Regression Forests

Andreani, Mila
;
2023

Abstract

In this paper we propose a new Mixed-Effects Quantile Regression Forest by generalizing the Quantile Regression Forest approach to longitudinal data. The inferential procedure is based on the Nonparametric Maximum Likelihood exploiting the Asymmetric Laplace distribution tool. The performance of the ME-QRF is tested in a simulation study and compared with the results of standard quantile regression models. Finally, the ME-QRF is applied to a data set for analysing the effect of the tratment on lead-exposed children.
2023
Settore SECS-S/01 - Statistica
Statistical Learning, Sustainability and Impact Evaluation
Quantile Regression, Random Forests, mixed-effects, longitudinal data
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/138923
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