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math.PR2021
Fractional generalized cumulative entropy and its dynamic version
Antonio Di Crescenzo, Suchandan Kayal, Alessandra Meoli
Following the theory of information measures based on the cumulative distribution function, we propose the fractional generalized cumulative entropy, and its dynamic version. These…
math.PR2020
A probabilistic proof of the finite geometric series
Raju Dey, Suchandan Kayal
In this note, we present a probabilistic proof of the well-known finite geometric series. The proof follows by taking the moments of the sum and the difference of two independent e…