Uniform consistency of NN regressors for functional variables

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• 作者：Nadia L. Kudraszow^a ; ^{nkudraszow@mate.unlp.ar} ; ^{n_kudraszow@yahoo.com} ; Philippe Vieu^b ; ^{philippe.vieu@math.univ-toulouse.fr}
• 关键词：Functional data analysis ; kkNN regression ; Nonparametric statistics ; Uniform consistency
• 刊名：Statistics and Probability Letters
• 出版年：2013
• 出版时间：August, 2013
• 年：2013
• 卷：83
• 期：8
• 页码：1863-1870
• 全文大小：410 K

文摘

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