A Review of Goodness-of-Fit Tests for the Rayleigh Distribution

IF 0.6 Q4 STATISTICS & PROBABILITY

Austrian Journal of Statistics Pub Date : 2023-03-07 DOI:10.17713/ajs.v52i1.1322

S. Liebenberg, J. Allison

引用次数: 0

Abstract

The Rayleigh distribution has recently become popular as a model for a range of phenomena. As a result, a number of goodness-of-fit tests have been developed for this distribution. In this paper, we provide the first overview of goodness-of-fit tests for the Rayleigh distribution and compare these tests in a Monte-Carlo study to identify the tests that provide the highest powers against a wide range of alternatives. Our findings suggest that two recently developed tests as well as a test based on the Laplace transform and a test based on the Hellinger distance are the better performing tests.

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瑞利分布拟合优度检验综述

瑞利分布最近作为一系列现象的模型而流行起来。因此，针对该分布开发了许多拟合优度检验。在本文中，我们首次概述了瑞利分布的拟合优度检验，并在蒙特卡洛研究中比较了这些检验，以确定在各种替代方案中提供最高幂的检验。我们的研究结果表明，最近开发的两个测试以及基于拉普拉斯变换的测试和基于海灵格距离的测试是性能较好的测试。

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

Austrian Journal of Statistics STATISTICS & PROBABILITY-

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

24 weeks

期刊介绍： The Austrian Journal of Statistics is an open-access journal (without any fees) with a long history and is published approximately quarterly by the Austrian Statistical Society. Its general objective is to promote and extend the use of statistical methods in all kind of theoretical and applied disciplines. The Austrian Journal of Statistics is indexed in many data bases, such as Scopus (by Elsevier), Web of Science - ESCI by Clarivate Analytics (formely Thompson & Reuters), DOAJ, Scimago, and many more. The current estimated impact factor (via Publish or Perish) is 0.775, see HERE, or even more indices HERE. Austrian Journal of Statistics ISNN number is 1026597X Original papers and review articles in English will be published in the Austrian Journal of Statistics if judged consistently with these general aims. All papers will be refereed. Special topics sections will appear from time to time. Each section will have as a theme a specialized area of statistical application, theory, or methodology. Technical notes or problems for considerations under Shorter Communications are also invited. A special section is reserved for book reviews.