Weighted survival functional entropy and its properties

Abstract: The weighted generalized cumulative residual entropy is a recently defined dispersion measure. This article introduces a new uncertainty measure as a generalization of the weighted generalized cumulative residual entropy, called it the weighted fractional generalized cumulative residual entropy of a nonnegative absolutely continuous random variable, which equates to the weighted fractional Shannon entropy. Several stochastic analyses and connections of this new measure to some famous stochastic orders are presented. As an application, we demonstrate this measure in random minima. The new measure can be used to study the coherent and mixed systems, risk measure, and image processing.

Standort
Deutsche Nationalbibliothek Frankfurt am Main
Umfang
Online-Ressource
Sprache
Englisch

Erschienen in
Weighted survival functional entropy and its properties ; volume:21 ; number:1 ; year:2023 ; extent:10
Open physics ; 21, Heft 1 (2023) (gesamt 10)

Urheber
Alomani, Ghadah
Kayid, Mohamed

DOI
10.1515/phys-2022-0234
URN
urn:nbn:de:101:1-2023030513071400085291
Rechteinformation
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Letzte Aktualisierung
14.08.2025, 10:58 MESZ

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Beteiligte

  • Alomani, Ghadah
  • Kayid, Mohamed

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