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Doksum, K. and Samarov, A. (1995) Nonparametric Estimation of Global Functionals and a Measure of the Explanatory Power of Covariates in Regression. The Annals of Statistics, 23, 1443-1473.
https://doi.org/10.1214/aos/1176324307

has been cited by the following article:

• TITLE: Nonparametric Feature Screening via the Variance of the Regression Function

  AUTHORS: Won Chul Song, Michael G. Akritas

  KEYWORDS: Sure Independence Screening, Nonparametric Regression, Ultrahigh-Dimensional Data, Variable Selection

  JOURNAL NAME: Open Journal of Statistics, Vol.14 No.4, August 26, 2024

  ABSTRACT: This article develops a procedure for screening variables, in ultra high-di- mensional settings, based on their predictive significance. This is achieved by ranking the variables according to the variance of their respective marginal regression functions (RV-SIS). We show that, under some mild technical conditions, the RV-SIS possesses a sure screening property, which is defined by Fan and Lv (2008). Numerical comparisons suggest that RV-SIS has competitive performance compared to other screening procedures, and outperforms them in many different model settings.