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Uniform consistency of kNN regressors for functional variables

Nadia L. Kudraszow and Philippe Vieu

Statistics & Probability Letters, 2013, vol. 83, issue 8, 1863-1870

Abstract: 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).

Keywords: Functional data analysis; kNN regression; Nonparametric statistics; Uniform consistency (search for similar items in EconPapers)
Date: 2013
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Handle: RePEc:eee:stapro:v:83:y:2013:i:8:p:1863-1870