Estimators in Adaptive Cluster Sampling under Two Successive Occasions using Auxiliary Information

Estimators in Adaptive Cluster Sampling under Two Successive Occasions using Auxiliary Information | 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 Estimators in Adaptive Cluster Sampling under Two Successive Occasions using Auxiliary Information Neha Arora, Ankit Upadhyay This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-9206365/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract If the true value of the parameter related to the auxiliary variable is unavailable, then it shall also be estimated by selecting a sample through Adaptive Cluster Sampling (ACS) from the population, as we do in the double sampling procedure. First, we shall estimate the parameter related to the auxiliary variable and with the help of that, the parameter related to the study variable, for which we can propose different estimators and their convex combinations to get greater precision. In this paper we’ve proposed the estimators based on ACS design with partial matching on two different occasions for matched and unmatched part with the help of auxiliary information. For convex combination of these estimators, we’ve compared the PREs and calculated the efficiencies with the already existing estimators. Comparisons are also made through simulation study. Partial Matching Estimation Successive Sampling Mean Square Error Rare Populations Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted 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. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. 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-9206365","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":611064670,"identity":"9e3a2bc4-3a3a-4e9f-8ae5-6e681d611406","order_by":0,"name":"Neha Arora","email":"","orcid":"","institution":"University of Rajasthan","correspondingAuthor":false,"prefix":"","firstName":"Neha","middleName":"","lastName":"Arora","suffix":""},{"id":611064671,"identity":"ed019e70-a3f8-4121-a204-3ac9f944c032","order_by":1,"name":"Ankit Upadhyay","email":"data:image/png;base64,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","orcid":"","institution":"University of Rajasthan","correspondingAuthor":true,"prefix":"","firstName":"Ankit","middleName":"","lastName":"Upadhyay","suffix":""}],"badges":[],"createdAt":"2026-03-24 03:53:39","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-9206365/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-9206365/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":105565369,"identity":"2f82a6d8-df34-43a4-a4ff-e41fe0424383","added_by":"auto","created_at":"2026-03-27 12:53:03","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":512927,"visible":true,"origin":"","legend":"","description":"","filename":"ResearchPaperAnkit.pdf","url":"https://assets-eu.researchsquare.com/files/rs-9206365/v1_covered_249e12eb-f7e5-4ec6-93f9-e5d4c8fc6f7e.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Estimators in Adaptive Cluster Sampling under Two Successive Occasions using Auxiliary Information","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":true,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"Partial Matching, Estimation, Successive Sampling, Mean Square Error, Rare Populations","lastPublishedDoi":"10.21203/rs.3.rs-9206365/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-9206365/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eIf the true value of the parameter related to the auxiliary variable is unavailable, then it shall also be estimated by selecting a sample through Adaptive Cluster Sampling (ACS) from the population, as we do in the double sampling procedure. 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