Analyse non standard du bruit
计算工程、金融与科学
2007-05-23 v1 逻辑
最优化与控制
概率论
量子物理
摘要
Thanks to the nonstandard formalization of fast oscillating functions, due to P. Cartier and Y. Perrin, an appropriate mathematical framework is derived for new non-asymptotic estimation techniques, which do not necessitate any statistical analysis of the noises corrupting any sensor. Various applications are deduced for multiplicative noises, for the length of the parametric estimation windows, and for burst errors.
引用
@article{arxiv.cs/0603003,
title = {Analyse non standard du bruit},
author = {Michel Fliess},
journal= {arXiv preprint arXiv:cs/0603003},
year = {2007}
}