Statistical inference for dependent competing risks data under improve adaptive Type-II progressive hybrid censored partially accelerate life test

Statistical inference for dependent competing risks data under improve adaptive Type-II progressive hybrid censored partially accelerate life test | 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 Article Statistical inference for dependent competing risks data under improve adaptive Type-II progressive hybrid censored partially accelerate life test Yan Wang, Min Wu, Jingfeng Shao This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-8666392/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 This paper presents a statistical analysis of dependent competing risks data modeled using the Marshall-Olkin bivariate Weibull distribution, under an improved adaptive Type-II progressive hybrid censored partially accelerated life test (IAT-II PHCS). We derive the maximum likelihood estimations (MLEs) for the unknown parameters and rigorously prove their existence and uniqueness. Asymptotic confidence intervals (ACIs) for the parameters are constructed using asymptotic theory and the delta method. In addition, Bayesian estimates are obtained using a gamma-Dirichlet prior distribution, with highest posterior density credible intervals (HPD CIs) computed through the importance sampling method. The performance of these estimation methods is evaluated through Monte Carlo simulations. Finally, the proposed approach is applied to a real dataset. Physical sciences/Mathematics and computing Health sciences/Medical research dependent competing risk improved adaptive type- II progressive hybrid censored partially accelerated life test maximum likelihood estimation Bayesian estimation Full Text Additional Declarations No competing interests reported. Supplementary Files Supplementarymaterialresponse.zip 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-8666392","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":592889224,"identity":"be7193f3-cbc4-413e-ade4-60cba94333d8","order_by":0,"name":"Yan Wang","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAsUlEQVRIiWNgGAWjYNACGxsefvYGkrSkpclI9hwgTcthG4MbDkQqNriRY/yZJ+E8D8MNBsYPH3OI02JgzJNwm4dxdgOz5MxtRGgxu5G7IZn3x20eZpkDbMy8xGo5zJNwjodNIoF4LRubeRIO8PAQrcX+zPvPjHMSknkkeA42E+cXyfa05A9vEuzs7Y83H/zwkRgtDAIJDEw8YBZjAzHqgYD/AAPjDyLVjoJRMApGwQgFAOp3NpplXHCCAAAAAElFTkSuQmCC","orcid":"","institution":"Xi’an Polytechnic University","correspondingAuthor":true,"prefix":"","firstName":"Yan","middleName":"","lastName":"Wang","suffix":""},{"id":592889225,"identity":"1201180b-a6a6-4896-8f5a-70498541dd0e","order_by":1,"name":"Min Wu","email":"","orcid":"","institution":"Shanghai Maritime University","correspondingAuthor":false,"prefix":"","firstName":"Min","middleName":"","lastName":"Wu","suffix":""},{"id":592889226,"identity":"b017c637-e99e-42c1-8e9c-c654833a205f","order_by":2,"name":"Jingfeng Shao","email":"","orcid":"","institution":"Xi’an Polytechnic University","correspondingAuthor":false,"prefix":"","firstName":"Jingfeng","middleName":"","lastName":"Shao","suffix":""}],"badges":[],"createdAt":"2026-01-22 07:10:09","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-8666392/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-8666392/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":109535339,"identity":"7f044b6b-5e5e-43e0-88d8-275516c3e31e","added_by":"auto","created_at":"2026-05-19 08:58:33","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":615614,"visible":true,"origin":"","legend":"","description":"","filename":"StatisticalinferencefordependentcompetingrisksdataunderimproveadaptiveTypeIIprogressivehybridcensoredpartiallyacceleratelifetest.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8666392/v1_covered_07a0c596-c31b-4c2e-a511-52430e89f47c.pdf"},{"id":102889724,"identity":"f1dbc15a-3a63-4479-9bde-87d137606e9f","added_by":"auto","created_at":"2026-02-18 04:16:32","extension":"zip","order_by":0,"title":"","display":"","copyAsset":false,"role":"supplement","size":64899344,"visible":true,"origin":"","legend":"","description":"","filename":"Supplementarymaterialresponse.zip","url":"https://assets-eu.researchsquare.com/files/rs-8666392/v1/c0c474a7b860503051097bc8.zip"}],"financialInterests":"No competing interests reported.","formattedTitle":"Statistical inference for dependent competing risks data under improve adaptive Type-II progressive hybrid censored partially accelerate life test","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"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":"dependent competing risk, improved adaptive type- II progressive hybrid censored, partially accelerated life test, maximum likelihood estimation, Bayesian estimation","lastPublishedDoi":"10.21203/rs.3.rs-8666392/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-8666392/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThis paper presents a statistical analysis of dependent competing risks data modeled using the Marshall-Olkin bivariate Weibull distribution, under an improved adaptive Type-II progressive hybrid censored partially accelerated life test (IAT-II PHCS). 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