序统计量的超额寿命熵

IF 1.9 3区数学 Q1 MATHEMATICS, APPLIED

Axioms Pub Date : 2023-10-31 DOI:10.3390/axioms12111024

Mansour Shrahili, Mohamed Kayid

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引用次数: 0

摘要

本文探讨了残差外性作为序统计量的不确定性测度的概念。具体地推导了i阶统计量的残差外向性，并建立了它与均匀分布随机样本中i阶统计量残差外向性的关系。利用这种方法，我们得到了一个适用于一般连续分布的阶统计量的残差熵公式。此外，我们提供了两个下界，可以应用于在不同分布中获得阶统计量的残差熵的封闭形式表达式证明是具有挑战性的情况。此外，我们还研究了有序统计量的残差外性的单调性。此外，我们还介绍了序统计量的残差外向性的其他方面，包括它对序统计量位置的依赖以及底层分布的各种特征。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Excess Lifetime Extropy of Order Statistics

This paper explores the concept of residual extropy as an uncertainty measure for order statistics. We specifically derive the residual extropy for the ith-order statistic and establish its relationship with the residual extropy of the ith-order statistic from a random sample generated from a uniform distribution. By employing this approach, we obtain a formula for the residual extropy of order statistics applicable to general continuous distributions. In addition, we offer two lower bounds that can be applied in situations where obtaining closed-form expressions for the residual extropy of order statistics in diverse distributions proves to be challenging. Additionally, we investigate the monotonicity properties of the residual extropy of order statistics. Furthermore, we present other aspects of the residual extropy of order statistics, including its dependence on the position of order statistics and various features of the underlying distribution.

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来源期刊

Axioms Mathematics-Algebra and Number Theory

自引率

10.00%

发文量

604

审稿时长

11 weeks

期刊介绍： Axiomatic theories in physics and in mathematics (for example, axiomatic theory of thermodynamics, and also either the axiomatic classical set theory or the axiomatic fuzzy set theory) Axiomatization, axiomatic methods, theorems, mathematical proofs Algebraic structures, field theory, group theory, topology, vector spaces Mathematical analysis Mathematical physics Mathematical logic, and non-classical logics, such as fuzzy logic, modal logic, non-monotonic logic. etc. Classical and fuzzy set theories Number theory Systems theory Classical measures, fuzzy measures, representation theory, and probability theory Graph theory Information theory Entropy Symmetry Differential equations and dynamical systems Relativity and quantum theories Mathematical chemistry Automata theory Mathematical problems of artificial intelligence Complex networks from a mathematical viewpoint Reasoning under uncertainty Interdisciplinary applications of mathematical theory.