Exponentiality Test Based on Progressively Type-II Censored Data Via Extension of Cumulative Tsallis Divergence

Q3 Mathematics

Revista Colombiana De Estadistica Pub Date : 2021-07-12 DOI:10.15446/RCE.V44N2.89797

V. Ahrari, A. Habibirad

引用次数: 0

Abstract

In this article, first new divergences are defined by using Tsallis divergence and a measure of discrepancy between equilibriums associated with two distributions is proposed. Then utilizing the progressively Type-II censored sample, we construct goodness of fit tests for exponentiality based on the estimation of proposed divergences. To investigate the performance of the mentioned tests, Monte Carlo simulations are performed. In order to study the power, the alternatives are considered according to the failure rate function. The powers of the proposed tests are then compared with other existing tests. As regards the last step of the study, in order to explain the use of the proposed tests, three examples are presented.

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基于累积Tsallis散度扩展的渐进式ii型截尾数据的指数检验

本文首先用Tsallis散度定义了新的散度，并提出了两个分布相关均衡间差异的度量。然后利用渐进式ii型截尾样本，我们根据提出的散度估计构造指数性的拟合优度检验。为了研究上述测试的性能，进行了蒙特卡罗模拟。为了研究功率，根据故障率函数考虑备选方案。然后将提出的测试的功率与其他现有测试进行比较。关于研究的最后一步，为了解释拟议测试的使用，提出了三个例子。

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

Revista Colombiana De Estadistica STATISTICS & PROBABILITY-

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Colombian Journal of Statistics publishes original articles of theoretical, methodological and educational kind in any branch of Statistics. Purely theoretical papers should include illustration of the techniques presented with real data or at least simulation experiments in order to verify the usefulness of the contents presented. Informative articles of high quality methodologies or statistical techniques applied in different fields of knowledge are also considered. Only articles in English language are considered for publication. The Editorial Committee assumes that the works submitted for evaluation have not been previously published and are not being given simultaneously for publication elsewhere, and will not be without prior consent of the Committee, unless, as a result of the assessment, decides not publish in the journal. It is further assumed that when the authors deliver a document for publication in the Colombian Journal of Statistics, they know the above conditions and agree with them.