统一外向性及其在经典理论和邓普斯特-谢弗理论中的表现

IF 0.7 4区 数学 Q3 STATISTICS & PROBABILITY Journal of Applied Probability Pub Date : 2023-10-23 DOI:10.1017/jpr.2023.68
Francesco Buono, Yong Deng, Maria Longobardi
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引用次数: 0

摘要

不确定性的度量是一个备受关注的话题。最近,引入外向性作为一种测量不确定性的方法,与香农熵对偶,引起了人们对该学科新方面的兴趣。由于熵有很多版本,因此引入了一个统一的公式,以便以一种简单的方式处理所有版本。在这里,我们考虑通过引入依赖于两个参数的度量来定义熵的统一公式的可能性。对于特定的参数选择,这种方法提供了众所周知的外部性公式。此外,还在Dempster-Shafer证据理论的背景下分析了熵的统一表述,并给出了在分类问题中的应用。
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The unified extropy and its versions in classical and Dempster–Shafer theories
Abstract Measures of uncertainty are a topic of considerable and growing interest. Recently, the introduction of extropy as a measure of uncertainty, dual to Shannon entropy, has opened up interest in new aspects of the subject. Since there are many versions of entropy, a unified formulation has been introduced to work with all of them in an easy way. Here we consider the possibility of defining a unified formulation for extropy by introducing a measure depending on two parameters. For particular choices of parameters, this measure provides the well-known formulations of extropy. Moreover, the unified formulation of extropy is also analyzed in the context of the Dempster–Shafer theory of evidence, and an application to classification problems is given.
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来源期刊
Journal of Applied Probability
Journal of Applied Probability 数学-统计学与概率论
CiteScore
1.50
自引率
10.00%
发文量
92
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.
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