Fuzzy stress and strength reliability based on the generalized mixture exponential distribution

Fuzzy stress and strength reliability based on the generalized mixture exponential distribution | 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 Fuzzy stress and strength reliability based on the generalized mixture exponential distribution Weizhong Tian, Sha Li, Yunchu Zhang This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4442660/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 In this paper, we will discuss the stress and strength reliability and the fuzzy stress and strength reliability based on the generalized mixtures of exponential distribution. A fuzzy membership function is defined as a function of the difference between stress and strength values and is increasing whenever X > Y. Several estimation methods, such as Maximize likelihood estimation method, Weighted Least squared estimation method and Percentile estimation method, will be provided to estimate the corresponding measures. Simulation studies are constructed to compare the performances of the proposed estimators. The comparisons are based on the biases, mean squared errors (MSEs) and the efficiency of the estimators. One data analysis has been performed for illustrative purpose. Stress and strength reliability Fuzzy Generalized mixtures of exponential distribution MLE Full Text Additional Declarations No competing interests reported. Supplementary Files JOIAFuzzystressandstrengthreliabilitybasedonthegeneralizedmixtureexponentialdistribution.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-4442660","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":312304449,"identity":"e66f4c2b-c7e6-49d0-b2e4-f845ae4c92ee","order_by":0,"name":"Weizhong Tian","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA+0lEQVRIiWNgGAWjYDACZjApwWAAoj5ABSXw6eBB1sI4A6oavxYYA6SFmYcYLfbszM8e81RY2Juz9x5+bfOnrs7gAPPB2zwMdnm4HcZmbsxzRoLZsudcmnVuG5uEwQG2ZGsehuRiPH4xk85tk2AzuJFjZpzbwAPUwmMmzcNwILEBpxb2b9K5/yR4wFos/kgAtfB/I6AFaGZuA1DljRzjxwxsBiBb2PBrOcxTJv3nmISBwZkzZoy9bQmSMw+zGVvOMUjGqYW9//g2yRk1dfYGx3uMP/z4U8fPd7z54Y03FXY4tSADNkh0gCPXgAj1ILUfCKsZBaNgFIyCkQgApDVIMCqvXikAAAAASUVORK5CYII=","orcid":"","institution":"Shenzhen Technology University","correspondingAuthor":true,"prefix":"","firstName":"Weizhong","middleName":"","lastName":"Tian","suffix":""},{"id":312304450,"identity":"eacb47bc-cac1-4e82-8dad-4f5aa4b6094f","order_by":1,"name":"Sha Li","email":"","orcid":"","institution":"Qingdao University","correspondingAuthor":false,"prefix":"","firstName":"Sha","middleName":"","lastName":"Li","suffix":""},{"id":312304451,"identity":"83d46604-d80f-4611-8649-9212f7a19a21","order_by":2,"name":"Yunchu Zhang","email":"","orcid":"","institution":"Shenzhen Technology University","correspondingAuthor":false,"prefix":"","firstName":"Yunchu","middleName":"","lastName":"Zhang","suffix":""}],"badges":[],"createdAt":"2024-05-19 01:38:12","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4442660/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4442660/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":60792195,"identity":"dc89a6e0-e964-40ac-996f-20a67c7b4986","added_by":"auto","created_at":"2024-07-22 07:15:15","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":427425,"visible":true,"origin":"","legend":"","description":"","filename":"Fuzzystressandstrengthreliabilitybasedonthegeneralizedmixtureexponentialdistribution.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4442660/v1_covered_882abb57-ef6f-4e4c-9176-f52d9544aa8b.pdf"},{"id":58096240,"identity":"9c93e69d-2022-4c5f-a5e3-c9cdc49d40db","added_by":"auto","created_at":"2024-06-11 05:40:37","extension":"zip","order_by":1,"title":"","display":"","copyAsset":false,"role":"supplement","size":1785048,"visible":true,"origin":"","legend":"","description":"","filename":"JOIAFuzzystressandstrengthreliabilitybasedonthegeneralizedmixtureexponentialdistribution.zip","url":"https://assets-eu.researchsquare.com/files/rs-4442660/v1/4651178c8ad1416a5bc8e01e.zip"}],"financialInterests":"No competing interests reported.","formattedTitle":"Fuzzy stress and strength reliability based on the generalized mixture exponential distribution","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":"Stress and strength reliability, Fuzzy, Generalized mixtures of exponential distribution, MLE","lastPublishedDoi":"10.21203/rs.3.rs-4442660/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4442660/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"In this paper, we will discuss the stress and strength reliability and the fuzzy stress and strength reliability based on the generalized mixtures of exponential distribution. 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