累积熵/外向性、基尼均值差与概率加权矩的关系

IF 0.7 3区工程技术 Q4 ENGINEERING, INDUSTRIAL

Probability in the Engineering and Informational Sciences Pub Date : 2022-08-26 DOI:10.1017/s026996482200047x

S. Kattumannil, E. Sreedevi, N. Balakrishnan

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引用次数: 2

摘要

在这项工作中，我们建立了累积残差熵和基尼平均差(GMD)之间的联系。此外，还建立了熵值与GMD之间的关系，以及截断的GMD与过去累积熵值的动态版本之间的关系。然后，我们证明了这里讨论的几个熵和熵测度可以纳入概率加权矩的框架，这将有助于找到这些测度的估计量。

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Relationships between cumulative entropy/extropy, Gini mean difference and probability weighted moments

In this work, we establish a connection between the cumulative residual entropy and the Gini mean difference (GMD). Some relationships between the extropy and the GMD, and the truncated GMD and dynamic versions of the cumulative past extropy are also established. We then show that several entropy and extropy measures discussed here can be brought into the framework of probability weighted moments, which would facilitate finding estimators of these measures.

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来源期刊

Probability in the Engineering and Informational Sciences 数学-工程：工业

CiteScore

2.20

自引率

18.20%

发文量

审稿时长

>12 weeks

期刊介绍： The primary focus of the journal is on stochastic modelling in the physical and engineering sciences, with particular emphasis on queueing theory, reliability theory, inventory theory, simulation, mathematical finance and probabilistic networks and graphs. Papers on analytic properties and related disciplines are also considered, as well as more general papers on applied and computational probability, if appropriate. Readers include academics working in statistics, operations research, computer science, engineering, management science and physical sciences as well as industrial practitioners engaged in telecommunications, computer science, financial engineering, operations research and management science.