Robust Three-Step Regression Based on Comedian and Its Performance in Cell-Wise and Case-Wise Outliers

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ID: 265889
2020
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Abstract
Both cell-wise and case-wise outliers may appear in a real data set at the same time. Few methods have been developed in order to deal with both types of outliers when formulating a regression model. In this work, a robust estimator is proposed based on a three-step method named 3S-regression, which uses the comedian as a highly robust scatter estimate. An intensive simulation study is conducted in order to evaluate the performance of the proposed comedian 3S-regression estimator in the presence of cell-wise and case-wise outliers. In addition, a comparison of this estimator with recently developed robust methods is carried out. The proposed method is also extended to the model with continuous and dummy covariates. Finally, a real data set is analyzed for illustration in order to show potential applications.
Reference Key
velasco2020mathematicsrobust Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Henry Velasco;Henry Laniado;Mauricio Toro;Víctor Leiva;Yuhlong Lio;Velasco, Henry;Laniado, Henry;Toro, Mauricio;Leiva, Víctor;Lio, Yuhlong;
Journal Mathematics
Year 2020
DOI
10.3390/math8081259
URL
https://doi.org/10.3390/math8081259
Keywords
monte carlo simulation robustness case-wise contamination comedian mad r software rocke s-estimator 3s-regression

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