{"title":"Power Evaluation of Some Tests for Inverse Rayleigh Distribution","authors":"Vahideh Ahrari, Parisa Hasanalipour","doi":"10.1007/s40745-024-00536-1","DOIUrl":null,"url":null,"abstract":"<div><p>The Inverse Rayleigh distribution has many applications in the area of reliability studies. It is regarded as a model for a lifetime random variable. It is essential to develop an efficient goodness-of-fit test for this distribution. In this paper, the problem of the goodness-of-fit test for the Inverse Rayleigh distribution based on different statistics is studied. Each method is described, and the corresponding test statistics are constructed. The critical values and power comparisons are also obtained using Monte Carlo computations. The results are discussed and interpreted separately.</p></div>","PeriodicalId":36280,"journal":{"name":"Annals of Data Science","volume":"12 2","pages":"739 - 755"},"PeriodicalIF":0.0000,"publicationDate":"2024-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Data Science","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s40745-024-00536-1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Decision Sciences","Score":null,"Total":0}
引用次数: 0
Abstract
The Inverse Rayleigh distribution has many applications in the area of reliability studies. It is regarded as a model for a lifetime random variable. It is essential to develop an efficient goodness-of-fit test for this distribution. In this paper, the problem of the goodness-of-fit test for the Inverse Rayleigh distribution based on different statistics is studied. Each method is described, and the corresponding test statistics are constructed. The critical values and power comparisons are also obtained using Monte Carlo computations. The results are discussed and interpreted separately.
期刊介绍:
Annals of Data Science (ADS) publishes cutting-edge research findings, experimental results and case studies of data science. Although Data Science is regarded as an interdisciplinary field of using mathematics, statistics, databases, data mining, high-performance computing, knowledge management and virtualization to discover knowledge from Big Data, it should have its own scientific contents, such as axioms, laws and rules, which are fundamentally important for experts in different fields to explore their own interests from Big Data. ADS encourages contributors to address such challenging problems at this exchange platform. At present, how to discover knowledge from heterogeneous data under Big Data environment needs to be addressed. ADS is a series of volumes edited by either the editorial office or guest editors. Guest editors will be responsible for call-for-papers and the review process for high-quality contributions in their volumes.