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Variance ratio screening for ultrahigh dimensional discriminant analysis

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  • Fengli Song
  • Peng Lai
  • Baohua Shen
  • Guosheng Cheng

Abstract

This article is concerned with feature screening for the ultrahigh dimensional discriminant analysis. A variance ratio screening method is proposed and the sure screening property of this screening procedure is proved. The proposed method has some additional desirable features. First, it is model-free which does not require specific discriminant model and can be directly applied to the multi-categories situation. Second, it can effectively screen main effects and interaction effects simultaneously. Third, it is relatively inexpensive in computational cost because of the simple structure. The finite sample properties are performed through the Monte Carlo simulation studies and two real-data analyses.

Suggested Citation

  • Fengli Song & Peng Lai & Baohua Shen & Guosheng Cheng, 2018. "Variance ratio screening for ultrahigh dimensional discriminant analysis," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 47(24), pages 6034-6051, December.
  • Handle: RePEc:taf:lstaxx:v:47:y:2018:i:24:p:6034-6051
    DOI: 10.1080/03610926.2017.1406113
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    Cited by:

    1. Fengli Song & Peng Lai & Baohua Shen, 2020. "Robust composite weighted quantile screening for ultrahigh dimensional discriminant analysis," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 83(7), pages 799-820, October.

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