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Uniform convergence rates and automatic variable selection in nonparametric regression with functional and categorical covariates

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In Selk and Gertheiss (2022) a nonparametric prediction method for models with multiple functional and categorical covariates is introduced. The dependent variable can be categorical (binary or multi-class) or continuous,… Click to show full abstract

In Selk and Gertheiss (2022) a nonparametric prediction method for models with multiple functional and categorical covariates is introduced. The dependent variable can be categorical (binary or multi-class) or continuous, thus both classification and regression problems are considered. In the paper at hand the asymptotic properties of this method are developed. A uniform rate of convergence for the regression / classification estimator is given. Further it is shown that, asymptotically, a data-driven least squares cross-validation method can automatically remove irrelevant, noise variables.

Keywords: regression; convergence rates; uniform convergence; categorical covariates; functional categorical

Journal Title: Journal of Nonparametric Statistics
Year Published: 2022

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