Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/90151
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dc.contributorDepartment of Applied Mathematicsen_US
dc.creatorFu, Qen_US
dc.creatorGuo, Xen_US
dc.creatorJeon, SYen_US
dc.creatorReither, ENen_US
dc.creatorZang, Een_US
dc.creatorLand, KCen_US
dc.date.accessioned2021-05-24T08:08:56Z-
dc.date.available2021-05-24T08:08:56Z-
dc.identifier.urihttp://hdl.handle.net/10397/90151-
dc.language.isoenen_US
dc.publisherAmerican Institute of Mathematical Sciencesen_US
dc.rights©American Institute of Mathematical Sciencesen_US
dc.rightsThis article has been published in a revised form in Mathematical Foundations of Computing http://dx.doi.org/10.3934/mfc.2021001. This version is free to download for private research and study only. Not for redistribution, re-sale or use in derivative works.en_US
dc.subjectIntrinsic estimatoren_US
dc.subjectAge-period-cohort analysisen_US
dc.subjectStatisticsen_US
dc.subjectAsymptotic propertyen_US
dc.subjectRidge regressionen_US
dc.subjectPrincipal components regressionen_US
dc.titleThe uses and abuses of an age-period-cohort method : on the linear algebra and statistical properties of intrinsic and related estimatorsen_US
dc.typeJournal/Magazine Articleen_US
dc.identifier.spage45en_US
dc.identifier.epage59en_US
dc.identifier.volume4en_US
dc.identifier.issue1en_US
dc.identifier.doi10.3934/mfc.2021001en_US
dcterms.abstractAs a sophisticated and popular age-period-cohort method, the Intrinsic Estimator (IE) and related estimators have evoked intense debate in demography, sociology, epidemiology and statistics. This study aims to provide a more holistic review and critical assessment of the overall methodological significance of the IE and related estimators in age-period-cohort analysis. We derive the statistical properties of the IE from a linear algebraic perspective, provide more precise mathematical proofs relevant to the current debate, and demonstrate the essential, yet overlooked, link between the IE and classical statistical tools that have been employed by scholars for decades. This study offers guidelines for the future use of the IE and related estimators in demographic research. The exposition of the IE and related estimators may help redirect, if not settle, the logic of the debate.en_US
dcterms.accessRightsopen accessen_US
dcterms.bibliographicCitationMathematical foundations of computing, Feb. 2021, v. 4, no. 1, p. 45-59en_US
dcterms.isPartOfMathematical foundations of computingen_US
dcterms.issued2021-02-
dc.identifier.isiWOS:000623677400004-
dc.identifier.eissn2577-8838en_US
dc.description.validate202105 bcrcen_US
dc.description.oaAccepted Manuscripten_US
dc.identifier.FolderNumbera0517-n01, a0765-n01-
dc.identifier.SubFormID1533-
dc.description.fundingSourceRGCen_US
dc.description.fundingTextPolyU 15334616en_US
dc.description.pubStatusPublisheden_US
dc.description.oaCategoryGreen (AAM)en_US
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