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math.PR2023
Generalized Gini's mean difference through distortions and copulas, and related minimizing problems
Marco Capaldo, Antonio Di Crescenzo, Franco Pellerey
Given a random variable and considered a family of its possible distortions, we define two new measures of distance between and each its distortion. For these distance meas…
math.PR2020
Varentropy of past lifetimes
Francesco Buono, Maria Longobardi
In Reliability Theory, uncertainty is measured by the Shannon entropy. Recently, in order to analyze the variability of such measure, varentropy has been introduced and studied. In…