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Robust Three-Step Regression Based on Comedian and Its Performance in Cell-Wise and Case-Wise Outliers
Mathematics ( IF 1.747 ) Pub Date : 2020-08-01 , DOI: 10.3390/math8081259
Henry Velasco; Henry Laniado; Mauricio Toro; Víctor Leiva; Yuhlong Lio

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.
更新日期:2020-08-01

 

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