On the problem of reversibility of the entropy power inequality

Details On the problem of reversibility of the entropy power inequality On the problem of reversibility of the entropy power inequality

2011-11-29

arxiv.org/abs/1111.6807v1

Mathematics

Functional Analysis

13 pages

Scientific paper

As was shown recently by the authors, the entropy power inequality can be reversed for independent summands with sufficiently concave densities, when the distributions of the summands are put in a special position. In this note it is proved that reversibility is impossible over the whole class of convex probability distributions. Related phenomena for identically distributed summands are also discussed.

Affiliated with

Also associated with

No associations

Rating

On the problem of reversibility of the entropy power inequality does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the problem of reversibility of the entropy power inequality, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the problem of reversibility of the entropy power inequality will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-16454