失效外向性、动态失效外向性及其加权形式

Q3 Mathematics

Stochastics and Quality Control Pub Date : 2021-04-28 DOI:10.1515/eqc-2021-0008

S. Kayal

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引用次数: 2

摘要

摘要引入熵作为香农熵的对偶补充。在本研究中，我们考虑失效外向性及其动态版本。介绍了这些措施的各种基本性质。结果表明，动态失效熵是分布函数的唯一特征。我们还考虑了这些措施的加权版本。探讨了加权度量的几个优点。最后，引入了基于经验分布函数的非参数估计。

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Failure Extropy, Dynamic Failure Extropy and Their Weighted Versions

Abstract Extropy was introduced as a dual complement of the Shannon entropy. In this investigation, we consider failure extropy and its dynamic version. Various basic properties of these measures are presented. It is shown that the dynamic failure extropy characterizes the distribution function uniquely. We also consider weighted versions of these measures. Several virtues of the weighted measures are explored. Finally, nonparametric estimators are introduced based on the empirical distribution function.

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来源期刊

Stochastics and Quality Control Mathematics-Discrete Mathematics and Combinatorics

CiteScore

1.10

自引率

0.00%

发文量