A Lower Bound on the Differential Entropy of Log-Concave Random Vectors with Applications
A Lower Bound on the Differential Entropy of Log-Concave Random Vectors with Applications
We derive a lower bound on the differential entropy of a log-concave random variable X in terms of the p-th absolute moment of X. The new bound leads to a reverse entropy power inequality with an explicit constant, and to new bounds on the rate-distortion function and the channel capacity. …