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

Article Type

Research Article

Publication Title

Probability in the Engineering and Informational Sciences

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 past 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 facilitate finding estimators of these measures.

First Page

28

Last Page

38

DOI

10.1017/S026996482200047X

Publication Date

1-1-2024

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