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On reconsidering entropies and divergences and their cumulative counterparts: Csiszár's, DPD's and Fisher's type cumulative and survival measures
Probability in the Engineering and Informational Sciences ( IF 0.7 ) Pub Date : 2022-02-21 , DOI: 10.1017/s0269964822000031
Konstantinos Zografos 1
Affiliation  

This paper concentrates on the fundamental concepts of entropy, information and divergence to the case where the distribution function and the respective survival function play the central role in their definition. The main aim is to provide an overview of these three categories of measures of information and their cumulative and survival counterparts. It also aims to introduce and discuss Csiszár's type cumulative and survival divergences and the analogous Fisher's type information on the basis of cumulative and survival functions.



中文翻译:

重新考虑熵和散度及其累积对应物:Csiszár、DPD 和 Fisher 类型的累积和生存度量

本文重点介绍了熵、信息和散度的基本概念,以及分布函数和各自的生存函数在其定义中起核心作用的情况。主要目的是概述这三类信息度量及其累积和生存对应项。它还旨在介绍和讨论 Csiszár 的类型累积和生存分歧以及基于累积和生存函数的类似 Fisher 类型信息。

更新日期:2022-02-21
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