Some Results on Quantile-based Dynamic Survival and Failure Tsallis Entropy

IF 0.7 Q2 MATHEMATICS

Tamkang Journal of Mathematics Pub Date : 2021-03-16 DOI:10.5556/J.TKJM.53.2022.3946

Vikas Kumar, Rekha Rani, N. Singh

引用次数: 0

Abstract

Non-additive entropymeasures are important formany applications. In this paper, we introduce a quantile-based non-additive entropy measure, based on Tsallis entropy and study their properties. Some relationships of this measure with well-known reliability measures and ageing classes are studied and some characterization results are presented. Also the concept of quantile-based shift independent entropy measures has been introduced and studied various properties.

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基于分位数的动态生存与失效Tsallis熵的一些结果

非加性熵测度在许多应用中都很重要。本文在Tsallis熵的基础上，引入了一种基于分位数的非加性熵测度，并研究了其性质。研究了该测度与已知的可靠性测度和老化类别的关系，并给出了一些表征结果。此外，还引入了基于分位数的位移无关熵测度的概念，并研究了熵测度的各种性质。

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

Tamkang Journal of Mathematics MATHEMATICS-

CiteScore

1.50

自引率

0.00%

发文量

期刊介绍： To promote research interactions between local and overseas researchers, the Department has been publishing an international mathematics journal, the Tamkang Journal of Mathematics. The journal started as a biannual journal in 1970 and is devoted to high-quality original research papers in pure and applied mathematics. In 1985 it has become a quarterly journal. The four issues are out for distribution at the end of March, June, September and December. The articles published in Tamkang Journal of Mathematics cover diverse mathematical disciplines. Submission of papers comes from all over the world. All articles are subjected to peer review from an international pool of referees.