Lehmer Transform and its Theoretical Properties
Machine Learning
2018-05-15 v1 Machine Learning
Abstract
We propose a new class of transforms that we call {\it Lehmer Transform} which is motivated by the {\it Lehmer mean function}. The proposed {\it Lehmer transform} decomposes a function of a sample into their constituting statistical moments. Theoretical properties of the proposed transform are presented. This transform could be very useful to provide an alternative method in analyzing non-stationary signals such as brain wave EEG.
Cite
@article{arxiv.1805.04927,
title = {Lehmer Transform and its Theoretical Properties},
author = {Masoud Ataei and Shengyuan Chen and Xiaogang Wang},
journal= {arXiv preprint arXiv:1805.04927},
year = {2018}
}