{"paper_id":"08a9043b-50bf-4ed0-914f-6e00f75688a6","body_text":"Modeling China's Per Capita Disposable Income by Uncertain Statistics | 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 Modeling China's Per Capita Disposable Income by Uncertain Statistics Yuxing Jia, Han Tang This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3304016/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 Uncertain statistics is a set of mathematical techniques for collecting, analyzing and interpreting data by uncertainty theory. There are mainly three modeling methods in uncertain statistics: uncertain time series analysis, uncertain regression analysis, and uncertain differential equation. This paper applies these tools to modeling China's per capita disposable income, and employs uncertain hypothesis test to determine whether the estimated uncertain statistical models fit China's per capita disposable income. In addition, this paper shows that it is necessary to use uncertain statistics instead of probability statistics to model China's per capita disposable income by investigating the corresponding residuals. Uncertainty Theory Uncertain Statistics Uncertain Time Series Analysis Uncertain Regression Analysis Uncertain Differential Equation Full Text 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. 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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-3304016\",\"acceptedTermsAndConditions\":true,\"allowDirectSubmit\":true,\"archivedVersions\":[],\"articleType\":\"Research Article\",\"associatedPublications\":[],\"authors\":[{\"id\":243903168,\"identity\":\"370e3dd7-fff5-477c-9768-68758a067334\",\"order_by\":0,\"name\":\"Yuxing Jia\",\"email\":\"data:image/png;base64,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\",\"orcid\":\"https://orcid.org/0000-0002-0298-5996\",\"institution\":\"Tsinghua University Department of Mathematical Sciences\",\"correspondingAuthor\":true,\"submittingAuthor\":false,\"prefix\":\"\",\"firstName\":\"Yuxing\",\"middleName\":\"\",\"lastName\":\"Jia\",\"suffix\":\"\"},{\"id\":243903169,\"identity\":\"40fadddb-a3aa-489b-83f5-8efdbc68bb0c\",\"order_by\":1,\"name\":\"Han Tang\",\"email\":\"\",\"orcid\":\"https://orcid.org/0000-0001-8523-0080\",\"institution\":\"North China Electric Power University School of Mathematics and Physics\",\"correspondingAuthor\":false,\"submittingAuthor\":false,\"prefix\":\"\",\"firstName\":\"Han\",\"middleName\":\"\",\"lastName\":\"Tang\",\"suffix\":\"\"}],\"badges\":[],\"createdAt\":\"2023-08-28 15:55:55\",\"currentVersionCode\":1,\"declarations\":\"\",\"doi\":\"10.21203/rs.3.rs-3304016/v1\",\"doiUrl\":\"https://doi.org/10.21203/rs.3.rs-3304016/v1\",\"draftVersion\":[],\"editorialEvents\":[],\"editorialNote\":\"\",\"failedWorkflow\":false,\"files\":[{\"id\":48334074,\"identity\":\"a6e736f1-129c-4e99-8d99-996179cc16cd\",\"added_by\":\"auto\",\"created_at\":\"2023-12-16 23:34:46\",\"extension\":\"pdf\",\"order_by\":1,\"title\":\"\",\"display\":\"\",\"copyAsset\":false,\"role\":\"manuscript-pdf\",\"size\":250391,\"visible\":true,\"origin\":\"\",\"legend\":\"\",\"description\":\"\",\"filename\":\"CPCDI.pdf\",\"url\":\"https://assets-eu.researchsquare.com/files/rs-3304016/v1_covered_0c13314d-56d7-42a9-a34b-8e0d89a1cfed.pdf\"}],\"financialInterests\":\"\",\"formattedTitle\":\"Modeling China's Per Capita Disposable Income by Uncertain Statistics\",\"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\":\"info@researchsquare.com\",\"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\":\"Uncertainty Theory, Uncertain Statistics, Uncertain Time Series Analysis, Uncertain Regression Analysis, Uncertain Differential Equation\",\"lastPublishedDoi\":\"10.21203/rs.3.rs-3304016/v1\",\"lastPublishedDoiUrl\":\"https://doi.org/10.21203/rs.3.rs-3304016/v1\",\"license\":{\"name\":\"CC BY 4.0\",\"url\":\"https://creativecommons.org/licenses/by/4.0/\"},\"manuscriptAbstract\":\"Uncertain statistics is a set of mathematical techniques for collecting, analyzing and interpreting data by uncertainty theory. 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