Joint Range of R\'enyi Entropies
Information Theory
2009-04-17 v1 math.IT
Probability
Abstract
The exact range of the joined values of several R\'{e}nyi entropies is determined. The method is based on topology with special emphasis on the orientation of the objects studied. Like in the case when only two orders of R\'{e}nyi entropies are studied one can parametrize upper and lower bounds but an explicit formula for a tight upper or lower bound cannot be given.
Cite
@article{arxiv.0904.2477,
title = {Joint Range of R\'enyi Entropies},
author = {Peter Harremoës},
journal= {arXiv preprint arXiv:0904.2477},
year = {2009}
}