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Large Deviations Theorems in Nonparametric Regression on Functional Data
Large deviation nonparametric regression functional data
2010/3/18
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 pointw...
Adaptive Optimal Nonparametric Regression and Density Estimation Based on Fourier-Legendre Expansion
Adaptive estimations regression density martingale confidence interval Legend repolynomials
2010/4/29
Motivated by finance and technical applications, the objective of this paper
is to consider adaptive estimation of regression and density distribution based
on Fourier-Legendre expansion, and constr...
Component selection and smoothing in multivariate nonparametric regression
Smoothing spline ANOVA method of regularization nonparametricregression nonparametric classification model selection
2010/4/26
We propose a new method for model selection and model fitting
in multivariate nonparametric regression models, in the framework
of smoothing spline ANOVA. The “COSSO” is a method of
regularization ...