Two remarks on generalized entropy power inequalities
Information Theory
2021-10-20 v1 math.IT
Probability
Abstract
This note contributes to the understanding of generalized entropy power inequalities. Our main goal is to construct a counter-example regarding monotonicity and entropy comparison of weighted sums of independent identically distributed log-concave random variables. We also present a complex analogue of a recent dependent entropy power inequality of Hao and Jog, and give a very simple proof.
Keywords
Cite
@article{arxiv.1904.02314,
title = {Two remarks on generalized entropy power inequalities},
author = {Mokshay Madiman and Piotr Nayar and Tomasz Tkocz},
journal= {arXiv preprint arXiv:1904.02314},
year = {2021}
}
Comments
arXiv:1811.00345 is split into 2 papers, with this being one