Refinement of some moment inequalities
Information Theory
2016-05-16 v2 math.IT
Probability
Abstract
In this paper we give refinements of some convex and log-convex moment inequalities of the first and second order using a special kind of positive semi-definite form. An open problem concerning eight parameter refinement of second order is also stated with some applications in Information Theory.
Cite
@article{arxiv.1509.08519,
title = {Refinement of some moment inequalities},
author = {Slavko Simic},
journal= {arXiv preprint arXiv:1509.08519},
year = {2016}
}