Estimation of noisy cubic spline using a natural basis
Statistics Theory
2014-03-07 v1 Statistics Theory
Abstract
We define a new basis of cubic splines such that the coordinates of a natural cubic spline are sparse. We use it to analyse and to extend the classical Schoenberg and Reinsch result and to estimate a noisy cubic spline. We also discuss the choice of the smoothing parameter. All our results are illustrated graphically.
Keywords
Cite
@article{arxiv.1403.1388,
title = {Estimation of noisy cubic spline using a natural basis},
author = {Azzouz Dermoune and Cristian Preda},
journal= {arXiv preprint arXiv:1403.1388},
year = {2014}
}
Comments
29 pages, 6 figures