双截断随机变量香农熵的性质及其应用

IF 1 Q3 Mathematics

Journal of Statistical Theory and Applications Pub Date : 2020-06-01 DOI:10.2991/jsta.d.200512.003

Rajesh Moharana, S. Kayal

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引用次数: 1

摘要

在一些应用中有时会遇到双截断数据，主要是在生存和天文数据分析中。当数据落在两点之间时，就会发生这种情况。本文主要研究双截断随机变量的香农熵测度。我们在此基础上提出了有序和各种老化性能。得到了一些使用寿命分布的特征。结果表明，在一定条件下，所提出的方法唯一地确定了分布函数。给出了关于离散分布的一些结果。最后给出了应用。

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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Properties of Shannon Entropy for Double Truncated Random Variables and its Applications

Doubly truncated data are sometimes encountered in several applications, mainly in survival and astronomical data analysis. This occurs when the data falls between two points. In this study, we focus on the Shannon entropy measure of doubly truncated randomvariables.We propose ordering and various aging properties based on thismeasure. Characterizations of some useful life distributions are obtained. It is showed that under certain condition, the proposedmeasure determines the distribution function uniquely. Some results on discrete distributions are presented. Finally, applications are given.

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来源期刊

Journal of Statistical Theory and Applications STATISTICS & PROBABILITY-

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

13 weeks