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arXiv · 2112.01152

Interval extropy and weighted interval extropy

Francesco Buono·Osman Kamari·Maria Longobardi
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Abstract

Recently, Extropy was introduced by Lad, Sanfilippo and Agr\`o as a complement dual of Shannon Entropy. In this paper, we propose dynamic versions of Extropy for doubly truncated random variables as measures of uncertainty called Interval Extropy and Weighted Interval Extropy. Some characterizations of random variables related to these new measures are given. Several examples are shown. These measures are evaluated under the effect of linear transformations and, finally, some bounds for them are presented.

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Francesco Buono, Osman Kamari, Maria Longobardi. 2021-12-02. Interval extropy and weighted interval extropy. https://doi.org/10.1007/s11587-021-00678-x

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