@inbook {IOPORT.05854226, author = {Hern\'andez, Noslen and Biscay, Rolando J. and Villa-Vialaneix, Nathalie and Talavera, Isneri}, title = {A functional density-based nonparametric approach for statistical calibration.}, year = {2010}, booktitle = {Progress in pattern recognition, image analysis, computer vision, and applications. 15th Iberoamerican congress on pattern recognition, CIARP 2010, Sao Paulo, Brazil, November 8--11, 2010. Proceedings}, isbn = {978-3-642-16686-0}, pages = {450-457}, publisher = {Berlin: Springer}, doi = {10.1007/978-3-642-16687-7_60}, abstract = {Summary: In this paper a new nonparametric functional method is introduced for predicting a scalar random variable $Y$ from a functional random variable $X$. The resulting prediction has the form of a weighted average of the training data set, where the weights are determined by the conditional probability density of $X$ given $Y$, which is assumed to be Gaussian. In this way such a conditional probability density is incorporated as a key information into the estimator. Contrary to some previous approaches, no assumption about the dimensionality of $\mathbb{E}(X|Y=y)$ is required. The new proposal is computationally simple and easy to implement. Its performance is shown through its application to both simulated and real data.}, identifier = {05854226}, }