Pointwise and uniform moderate deviations for nonparametric regression function estimator on functional data

Qiaojing Liu and Shoujiang Zhao

Statistics & Probability Letters, 2013, vol. 83, issue 5, 1372-1381

Abstract: In this paper we establish moderate deviations of regression function estimator on functional data. The pointwise moderate deviation principles of Nadaraya–Watson type estimator is considered by exponential equivalence. Depending on the Vapnik–Chervonenkis size of the class, the uniform moderate deviations are also obtained.

Keywords: Uniform moderate deviations; Regression function estimator; Functional data (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:83:y:2013:i:5:p:1372-1381

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DOI: 10.1016/j.spl.2013.01.027

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