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math.ST2024
Weighted cumulative residual Entropy Generating Function and its properties
Smitha S., Sudheesh K. Kattumannil, Sreedevi E. P
The study on the generating function approach to entropy become popular as it generates several well-known entropy measures discussed in the literature. In this work, we define the…
math.ST2022
Relationships between cumulative entropy/extropy, Gini mean difference and probability weighted moments
Sudheesh Kattumannil, Sreedevi E. P, N. Balakrishnan
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 trun…