Robust explicit estimators of the Rayleigh distribution under Type II censoring

Robust explicit estimators of the Rayleigh distribution under Type II censoring | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Robust explicit estimators of the Rayleigh distribution under Type II censoring Li Luo, Zhuanzhuan Ma, Min Wang This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6206000/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 01 Sep, 2025 Read the published version in International Journal of System Assurance Engineering and Management → Version 1 posted 6 You are reading this latest preprint version Abstract In this paper, we consider robust explicit estimators for the two-parameter Rayleigh distribution under Type II censoring, addressing challenges posed by data contamination. We propose two alternative estimation methods: M-estimation and power-weighted repeated medians (PWRM) as robust alternatives to conventional estimators derived from the maximum likelihood (ML) and ordinary least squares (OLS) approaches. We conduct simulation studies to investigate the efficiency and robustness of these estimators in clean and contaminated data sets. Numerical results show that while all methods perform comparably in the absence of data contamination, the PWRM estimator outperforms OLS and ML in contaminated cases in terms of achieving high relative efficiency and maintaining stability across different levels of censoring considered. Finally, we provide a real-data application for illustrative purposes. Our findings highlight the advantages of robust estimation techniques in improving the accuracy of parameter estimation for the analysis of data with potential data anomalies. Rayleigh distribution linear model repeated median robustness weighted median Full Text Cite Share Download PDF Status: Published Journal Publication published 01 Sep, 2025 Read the published version in International Journal of System Assurance Engineering and Management → Version 1 posted Editorial decision: Minor revisions 26 May, 2025 Reviewers agreed at journal 31 Mar, 2025 Reviewers invited by journal 31 Mar, 2025 Editor invited by journal 28 Mar, 2025 Editor assigned by journal 13 Mar, 2025 First submitted to journal 12 Mar, 2025 You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-6206000","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":436102637,"identity":"f9c6f34b-1a50-429b-9cdd-c681bc93e018","order_by":0,"name":"Li Luo","email":"","orcid":"","institution":"Southwest Petroleum University SWPU: Southwest Petroleum University","correspondingAuthor":false,"prefix":"","firstName":"Li","middleName":"","lastName":"Luo","suffix":""},{"id":436102638,"identity":"1273d7a5-ad9e-4974-829d-eeca1247e82c","order_by":1,"name":"Zhuanzhuan Ma","email":"","orcid":"https://orcid.org/0000-0001-9204-9343","institution":"The University of Texas Rio Grande Valley","correspondingAuthor":false,"prefix":"","firstName":"Zhuanzhuan","middleName":"","lastName":"Ma","suffix":""},{"id":436102639,"identity":"d2b7a239-4046-428f-a184-d6d51d6d94a3","order_by":2,"name":"Min Wang","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAzElEQVRIiWNgGAWjYDACZigtz94AZR0gVothzwHGBuK0wMGNBCK16LbzHmDmqblj1zjzjfnDHzUMcnw3EvBrMTvMl8DMc+xZcrt0jmEzzzEGY0nCWngMmHPYDiczzgZqYWBjSNxAnJZ/h5MZbp4xbPzxj6GeOC25bYftGG7wGDbwtjEkGBCj5fDfvsMJhj1phbN5+yQMZ555QEDL+TOGD2d8O2wvz354w8cf32zk+Y4TsAUEDgBxYgOELUFYOQzYE690FIyCUTAKRhwAAAX0R0Ez0DVCAAAAAElFTkSuQmCC","orcid":"https://orcid.org/0000-0002-9233-7844","institution":"The University of Texas at San Antonio Libraries","correspondingAuthor":true,"prefix":"","firstName":"Min","middleName":"","lastName":"Wang","suffix":""}],"badges":[],"createdAt":"2025-03-11 18:41:39","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-6206000/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-6206000/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1007/s13198-025-02925-y","type":"published","date":"2025-09-01T15:56:52+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":90827863,"identity":"7540b848-19cf-4f2f-9ec4-3e9c8ed27df7","added_by":"auto","created_at":"2025-09-08 16:01:33","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":607907,"visible":true,"origin":"","legend":"","description":"","filename":"manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-6206000/v1_covered_de44c131-a8ce-48a7-8d16-7c00d5b36fa7.pdf"}],"financialInterests":"","formattedTitle":"Robust explicit estimators of the Rayleigh distribution under Type II censoring","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":true,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"international-journal-of-system-assurance-engineering-and-management","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"ijsa","sideBox":"Learn more about [International Journal of System Assurance Engineering and Management](http://link.springer.com/journal/13198)","snPcode":"13198","submissionUrl":"https://www.editorialmanager.com/ijsa/default2.aspx","title":"International Journal of System Assurance Engineering and Management","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"Rayleigh distribution, linear model, repeated median, robustness, weighted median","lastPublishedDoi":"10.21203/rs.3.rs-6206000/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-6206000/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"In this paper, we consider robust explicit estimators for the two-parameter Rayleigh distribution under Type II censoring, addressing challenges posed by data contamination. 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