2006/10/06 by André Mas, Mas, André, Besnik Pumo +1
Biochemistry, Genetics and Molecular Biology · Mathematics · #Advanced Statistical Methods and Models #FOS: Mathematics #Metabolomics and Mass Spectrometry Studies #Statistical Methods and Inference #Statistics Theory (math.ST)
paper · pdf · doi:10.48550/arxiv.math/0610221
openalex publication_date 2006/10/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We introduce a new model of linear regression for random functional inputs taking into account the first order derivative of the data. We propose an estimation method which comes down to solving a special linear inverse problem. Our procedure tackles the problem through a double and synchronized penalization. An asymptotic expansion of the mean square prevision error is given. The model and the method are applied to a benchmark dataset of spectrometric curves and compared with other functional models.