{"title":"Applications of Reliability Test Plan for Logistic Rayleigh Distributed Quality Characteristic","authors":"Mahendra Saha, Harsh Tripathi, Anju Devi, Pratibha Pareek","doi":"10.1007/s40745-023-00473-5","DOIUrl":null,"url":null,"abstract":"<div><p>In this article, a reliability test plan under time truncated life test is considered for the logistic Rayleigh distribution (<span>\\(\\mathcal {LRD}\\)</span>). A brief discussion over statistical properties and significance of the <span>\\(\\mathcal {LRD}\\)</span> is placed in this present study. Larger the value of median—better is the quality of the lot is considered as quality characteristic for the proposed reliability test plan. Minimum sample sizes are placed in tabular form for different set up of specified consumer’s risk. Also operating characteristics (<span>\\(\\mathcal{O}\\mathcal{C}\\)</span>) values are shown in tabular forms for the chosen set up and discussed the pattern of <span>\\(\\mathcal{O}\\mathcal{C}\\)</span> values. A comparative analysis of the present study with some other reliability test plans is discussed based on the sample sizes. As an illustration, the performance of the proposed plan for the <span>\\(\\mathcal {LRD}\\)</span> is shown through real-life examples.</p></div>","PeriodicalId":36280,"journal":{"name":"Annals of Data Science","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2023-07-19","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/s40745-023-00473-5","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Decision Sciences","Score":null,"Total":0}
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Abstract
In this article, a reliability test plan under time truncated life test is considered for the logistic Rayleigh distribution (\(\mathcal {LRD}\)). A brief discussion over statistical properties and significance of the \(\mathcal {LRD}\) is placed in this present study. Larger the value of median—better is the quality of the lot is considered as quality characteristic for the proposed reliability test plan. Minimum sample sizes are placed in tabular form for different set up of specified consumer’s risk. Also operating characteristics (\(\mathcal{O}\mathcal{C}\)) values are shown in tabular forms for the chosen set up and discussed the pattern of \(\mathcal{O}\mathcal{C}\) values. A comparative analysis of the present study with some other reliability test plans is discussed based on the sample sizes. As an illustration, the performance of the proposed plan for the \(\mathcal {LRD}\) is shown through real-life examples.
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.
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