Recently, Extropy was introduced by Lad, Sanfilippo and Agrò 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.
Interval extropy and weighted interval extropy / Buono, Francesco; Kamari, Osman; Longobardi, Maria. - In: RICERCHE DI MATEMATICA. - ISSN 1827-3491. - 72:(2023), pp. 283-298. [10.1007/s11587-021-00678-x]
Interval extropy and weighted interval extropy
Francesco Buono
;Maria Longobardi
2023
Abstract
Recently, Extropy was introduced by Lad, Sanfilippo and Agrò 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.| File | Dimensione | Formato | |
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