Academic Journal

Further properties of Tsallis extropy and some of its related measures

التفاصيل البيبلوغرافية
العنوان: Further properties of Tsallis extropy and some of its related measures
المؤلفون: Mohamed Said Mohamed, Haroon M. Barakat, Aned Al Mutairi, Manahil SidAhmed Mustafa
المصدر: AIMS Mathematics, Vol 8, Iss 12, Pp 28219-28245 (2023)
بيانات النشر: AIMS Press, 2023.
سنة النشر: 2023
المجموعة: LCC:Mathematics
مصطلحات موضوعية: extropy, tsallis entropy, tsallis extropy, stochastic orders, non-parametric estimation, Mathematics, QA1-939
الوصف: This article introduces the concept of residual and past Tsallis extropy as a continuous information measure within the context of continuous distribution. Moreover, the characteristics and their relationships with other models are evaluated. Several stochastic comparisons are provided, along with outcomes concerning order statistics. Additionally, the models acquired include instances such as uniform and power function distributions. The measure incorporates its monotonic traits, and the outcomes defining its characteristics are presented. On the other hand, a different portrayal of the Tsallis extropy is introduced, expressed in relation to the hazard rate function. The Tsallis extropy of the lifetime for both mixed and coherent systems is explored. In the case of mixed systems, components' lifetimes are considered independent and identically distributed. Additionally, constraints on the Tsallis extropy of these systems are established, along with a clarification of their practical applicability. Non-parametric estimation using an alternative form of Tsallis function extropy for simulated and real data is performed.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 2473-6988
Relation: https://doaj.org/toc/2473-6988
DOI: 10.3934/math.20231445?viewType=HTML
DOI: 10.3934/math.20231445
URL الوصول: https://doaj.org/article/28919123448f4b6fa39bcdcc10a26a9d
رقم الانضمام: edsdoj.28919123448f4b6fa39bcdcc10a26a9d
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:24736988
DOI:10.3934/math.20231445?viewType=HTML