Relationships between cumulative entropy/extropy, Gini mean difference and probability weighted moments

Autor: Kattumannil, Sudheesh, P, Sreedevi E., Balakrishnan, N.
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv