Relationships between cumulative entropy/extropy, Gini mean difference and probability weighted moments
Statistics Theory
2022-08-29 v1 Statistics Theory
Abstract
In this work, we establish a connection between the cumulative residual entropy and the Gini mean difference (GMD). Some relationships between the extropy and the GMD, and the truncated GMD and dynamic versions of the cumulative extropy are also established. We then show that several entropy and extropy measures discussed here can be brought into the framework of probability weighted moments, which would enable us to find estimators of these measures.
Cite
@article{arxiv.2208.12783,
title = {Relationships between cumulative entropy/extropy, Gini mean difference and probability weighted moments},
author = {Sudheesh Kattumannil and Sreedevi E. P and N. Balakrishnan},
journal= {arXiv preprint arXiv:2208.12783},
year = {2022}
}