Robust variable selection for mixture linear regression models

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Hacettepe Journal of Mathematics and Statistics
Volume:45 Issue:2
Robust variable selection for mixture linear regression models

Robust variable selection for mixture linear regression models

Authors : Yunlu JİANG

Pages : 549-559

View : 55 | Download : 15

Publication Date : 2016-04-01

Article Type : Research Paper

Abstract :In this paper, we propose a robust variable selection to estimate and select relevant covariates for the finite mixture of linear regression models by assuming that the error terms follow a Laplace distribution to the data after trimming the high leverage points. We introduce a revised Expectation-maximization insert ignore into journalissuearticles values(EM); algorithm for numerical computation. Simulation studies indicate that the proposed method is robust to both the high leverage points and outliers in the y-direction, and can obtain a consistent variable selection in the case of outliers or heavy-tail error distribution. Finally, we apply the proposed methodology to analyze a real data.
Keywords : Finite mixture of linear regression models, Robustness, EM algorithm

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