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一些关于FGM族中GOS伴随量的信息测度性质。

Some Information Measures Properties of the GOS-Concomitants from the FGM Family.

作者信息

Suter Florentina, Cernat Ioana, Drăgan Mihai

机构信息

Faculty of Mathematics and Computer Science, University of Bucharest, Academiei 14, 010014 Bucharest, Romania.

"Gheorghe Mihoc-Caius Iacob" Institute of Mathematical Statistics and Applied Mathematics of Romanian Academy, Calea 13 Septembrie, 13, 050711 Bucharest, Romania.

出版信息

Entropy (Basel). 2022 Sep 26;24(10):1361. doi: 10.3390/e24101361.

Abstract

In this paper we recall, extend and compute some information measures for the concomitants of the generalized order statistics (GOS) from the Farlie-Gumbel-Morgenstern (FGM) family. We focus on two types of information measures: some related to Shannon entropy, and some related to Tsallis entropy. Among the information measures considered are residual and past entropies which are important in a reliability context.

摘要

在本文中,我们回顾、扩展并计算了来自法利-冈贝尔-摩根斯坦(FGM)族的广义序贯统计量(GOS)伴随量的一些信息测度。我们关注两种类型的信息测度:一些与香农熵相关,一些与Tsallis熵相关。在所考虑的信息测度中,有在可靠性背景下很重要的剩余熵和过去熵。

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