The choice of the pseudo-metric plays a crucial role in functional nonparametric regression as it has a direct impact on the type of models one considers. In this work, the idea of weighted pseudo-metric is introduced and discussed. The effects and the performances of the choices of pseudo-metric used are evalulated by means of a Monte Carlo study.

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Improving Finite Samples Performances in Nonparametric Functional Regression by Using Weighted Pseudo-Metrics

  • Lax Chan,
  • Laurent Delsol,
  • Aldo Goia

摘要

The choice of the pseudo-metric plays a crucial role in functional nonparametric regression as it has a direct impact on the type of models one considers. In this work, the idea of weighted pseudo-metric is introduced and discussed. The effects and the performances of the choices of pseudo-metric used are evalulated by means of a Monte Carlo study.