Topological Perspectives on Statistical Quantities I
Algebraic Topology
2017-07-11 v1
Abstract
In statistics cumulants are defined to be functions that measure the linear independence of random variables. In the non-communicative case the Boolean cumulants can be described as functions that measure deviation of a map between algebras from being an algebra morphism. In Algebraic topology maps that are homotopic to being algebra morphisms are studied using the theory of algebras. In this paper we will explore the link between these two points of views on maps between algebras that are not algebra maps.
Cite
@article{arxiv.1707.02900,
title = {Topological Perspectives on Statistical Quantities I},
author = {Nissim Ranade},
journal= {arXiv preprint arXiv:1707.02900},
year = {2017}
}