Extropy: Characterizations and dynamic versions

IF 0.7 4区数学 Q3 STATISTICS & PROBABILITY

Journal of Applied Probability Pub Date : 2023-06-02 DOI:10.1017/jpr.2023.7

A. Toomaj, M. Hashempour, N. Balakrishnan

引用次数: 2

Abstract

Several information measures have been proposed and studied in the literature. One such measure is extropy, a complementary dual function of entropy. Its meaning and related aging notions have not yet been studied in great detail. In this paper, we first illustrate that extropy information ranks the uniformity of a wide array of absolutely continuous families. We then discuss several theoretical merits of extropy. We also provide a closed-form expression of it for finite mixture distributions. Finally, the dynamic versions of extropy are also discussed, specifically the residual extropy and past extropy measures.

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Extopy:特征化和动态版本

文献中已经提出并研究了几种信息度量。其中一种度量是熵外性，即熵的互补对偶函数。它的含义和相关的衰老概念尚未得到详细的研究。在本文中，我们首先说明了外倾性信息对一系列绝对连续族的均匀性进行排序。然后我们讨论了外向性的几个理论优点。对于有限混合分布，我们也给出了它的封闭表达式。最后，还讨论了熵的动态版本，特别是剩余熵和过去的熵测度。

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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来源期刊

Journal of Applied Probability 数学-统计学与概率论

CiteScore

1.50

自引率

10.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Journal of Applied Probability is the oldest journal devoted to the publication of research in the field of applied probability. It is an international journal published by the Applied Probability Trust, and it serves as a companion publication to the Advances in Applied Probability. Its wide audience includes leading researchers across the entire spectrum of applied probability, including biosciences applications, operations research, telecommunications, computer science, engineering, epidemiology, financial mathematics, the physical and social sciences, and any field where stochastic modeling is used. A submission to Applied Probability represents a submission that may, at the Editor-in-Chief’s discretion, appear in either the Journal of Applied Probability or the Advances in Applied Probability. Typically, shorter papers appear in the Journal, with longer contributions appearing in the Advances.