2008 | OriginalPaper | Buchkapitel
Local Linear Functional Regression Based on Weighted Distance-based Regression
verfasst von : Eva Boj, Pedro Delicado, Josep Fortiana
Erschienen in: Functional and Operatorial Statistics
Verlag: Physica-Verlag HD
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We consider the problem of nonparametrically predicting a scalar response variable
y
from a functional predictor . We have
n
observations (
i yi
). We assign a weight
wi
=
K
(
d
(
i
)
h
) to each
i
, where
d
is a semimetric,
K
is a kernel function and
h
is the bandwidth. Then we fit a Weighted (Linear) Distance-Based Regression, where the weights are as above and the distances are given by a possibly difierent semi-metric.