Title :
An optimal varentropy bound for log-concave distributions
Author :
Madiman, Mokshay ; Liyao Wang
Author_Institution :
Dept. of Math. Sci., Univ. of Delaware, Newark, DE, USA
Abstract :
A sharp uniform bound is obtained for the varentropy of the class of log-concave distributions. In particular, this yields the optimal strengthening of the equipartition property for such distributions recently proved by Bobkov and the first-named author.
Keywords :
concave programming; statistical distributions; equipartition property; log-concave distributions; optimal varentropy; sharp uniform bound; Density measurement; Educational institutions; Electronic mail; Joints; Physics; Random variables; Vectors;
Conference_Titel :
Signal Processing and Communications (SPCOM), 2014 International Conference on
Conference_Location :
Bangalore
Print_ISBN :
978-1-4799-4666-2
DOI :
10.1109/SPCOM.2014.6983953
