Two remarks on generalized entropy power inequalities
arXiv:1904.02314 · doi:10.1007/978-3-030-46762-3_7
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.
arXiv:1811.00345 is split into 2 papers, with this being one
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