On cumulative entropies in terms of moments of order statistics
Narayanaswamy Balakrishnan, Francesco Buono, Maria Longobardi
TL;DR
This paper explores the relationships between various cumulative entropies and moments of order statistics, providing bounds and characterizations for non-negative continuous random variables.
Contribution
It introduces new bounds and characterizations linking cumulative entropies with moments of order statistics for non-negative continuous variables.
Findings
Derived bounds for cumulative entropies
Characterizations using symmetry of variables
Examples illustrating the bounds
Abstract
In this paper relations among some kinds of cumulative entropies and moments of order statistics are presented. By using some characterizations and the symmetry of a non negative and absolutely continuous random variable X, lower and upper bounds for entropies are obtained and examples are given.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.