Existence and Continuity of Differential Entropy for a Class of Distributions
Information Theory
2018-01-03 v1 math.IT
Abstract
In this paper, we identify a class of absolutely continuous probability distributions, and show that the differential entropy is uniformly convergent over this space under the metric of total variation distance. One of the advantages of this class is that the requirements could be readily verified for a given distribution.
Keywords
Cite
@article{arxiv.1703.09518,
title = {Existence and Continuity of Differential Entropy for a Class of Distributions},
author = {Hamid Ghourchian and Amin Gohari and Arash Amini},
journal= {arXiv preprint arXiv:1703.09518},
year = {2018}
}
Comments
4 pages