Large Deviations Theorems in Nonparametric Regression on Functional Data

Details Large Deviations Theorems in Nonparametric Regression on Functional Data Large Deviations Theorems in Nonparametric Regression on Functional Data

2009-02-18

arxiv.org/abs/0902.3137v2

Mathematics

Statistics Theory

Scientific paper

In this paper we prove large deviations principles for the Nadaraya-Watson
estimator of the regression of a real-valued variable with a functional
covariate. Under suitable conditions, we show pointwise and uniform large
deviations theorems with good rate functions.

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