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Varying-coefficient functional linear regression
asymptotics eigenfunctions functional data analysis local polynomial smoothing longitudinal data varying-coeffi cient models
2011/3/24
Functional linear regression analysis aims to model regression relations which include a functional predictor. The analog of the regression parameter vector or matrix in conventional multivariate or m...
Functional linear regression via canonical analysis
canonical components covariance operator functional data analysis functional linear model longitudinal data parameter function stochastic process
2011/3/24
We study regression models for the situation where both dependent and independent variables are square-integrable stochastic processes. Questions concerning the definition and existence of the corresp...
Smoothing splines estimators for functional linear regression
Functional linear regression functional parameter functionalvariable smoothing splines
2010/3/18
The paper considers functional linear regression, where scalar responses
Y1, . . . ,Yn are modeled in dependence of random functions
X1, . . . ,Xn. We propose a smoothing splines estimator for the f...
Prediction in functional linear regression
Bootstrap covariance dimension reduction eigenfunction eigenvalue eigenvector functional data analysis
2010/4/26
There has been substantial recent work on methods for estimating
the slope function in linear regression for functional data analysis.
However, as in the case of more conventional finite-dimensional...