# PCA-based estimation for functional linear regression with functional responses

@article{Imaizumi2018PCAbasedEF, title={PCA-based estimation for functional linear regression with functional responses}, author={Masaaki Imaizumi and Kengo Kato}, journal={J. Multivar. Anal.}, year={2018}, volume={163}, pages={15-36} }

This paper studies a regression model where both predictor and response variables are random functions. We consider a functional linear model where the conditional mean of the response variable at each time point is given by a linear functional of the predictor variable. In this paper, we are interested in estimation of the integral kernel $b(s,t)$ of the conditional expectation operator, where $s$ is an output variable while $t$ is a variable that interacts with the predictor variable. This…

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