Uniform consistency of kNN regressors for functional variables

By Nadia L. Kudraszow, Philippe Vieu. 2013

108 citations recorded by the source corpus.

This paper is devoted to nonparametric analysis of functional data. We give asymptotic results for a kNN generalized regression estimator when the observed variables take values in any abstract space. The main novelty is our uniform consistency result (with rates).

Subfields: Artificial Intelligence, Control and Systems Engineering, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/b8edc98ccdf1b06031a7b0646117ec096b609b4c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

1. Nengxiang Ling
2. Łukasz Waszak
3. Philippe Vieu
4. Tomasz Górecki
5. W. Wołyński
6. Miroslaw Krzysko
7. Heng Lian

In Control and Systems Engineering

1. Łukasz Waszak
2. Tomasz Górecki
3. W. Wołyński
4. Miroslaw Krzysko
5. Philippe Vieu

In Statistics and Probability

1. Nengxiang Ling
2. Tomasz Górecki
3. Łukasz Waszak
4. W. Wołyński
5. Miroslaw Krzysko
6. Philippe Vieu
7. Heng Lian
8. Peter Hall

Citations in the corpus

• Nonparametric modelling for functional data: selected survey and tracks for future (2018, background): “Uniform asymptotic rates of type (5) was presented in [42,43] for independent data and extended to dependent ones (see [44]).”
• Selected statistical methods of data analysis for multivariate functional data (2018, background): “…and Sugar 2003; Peng and Müller 2008), classification (Chamroukhi et al. 2013; Delaigle and Hall 2012; Mosler and Mozharovskyi 2015; Rossi and Villa 2006) and regression (Ferraty et al. 2012; Goia and Vieu 2014; Kudraszow and Vieu 2013; Peng et al. 2015; Rachdi and Vieu 2006; Wang et al. 2015).”