The distribution function of a probability measure on a linearly ordered topological space
Probability
2019-04-12 v1 General Topology
Abstract
In this paper we describe a theory of a cumulative distribution function on a space with an order from a probability measure defined in this space. This distribution function plays a similar role to that played in the classical case. Moreover, we define its pseudo-inverse and study its properties. Those properties will allow us to generate samples of a distribution and give us the chance to calculate integrals with respect to the related probability measure.
Cite
@article{arxiv.1904.05616,
title = {The distribution function of a probability measure on a linearly ordered topological space},
author = {J. F. Gálvez-Rodríguez and M. A. Sánchez-Granero},
journal= {arXiv preprint arXiv:1904.05616},
year = {2019}
}