{"data":{"id":"10.6084/m9.figshare.c.2017652.v1","type":"dois","attributes":{"doi":"10.6084/m9.figshare.c.2017652.v1","prefix":"10.6084","suffix":"m9.figshare.c.2017652.v1","identifiers":[],"alternateIdentifiers":[],"creators":[{"name":"Dennis Cook, R.","givenName":"R.","familyName":"Dennis Cook","affiliation":[],"nameIdentifiers":[]},{"name":"Zhang, Xin","givenName":"Xin","familyName":"Zhang","affiliation":[],"nameIdentifiers":[]}],"titles":[{"title":"Foundations for Envelope Models and Methods"}],"publisher":"Taylor \u0026 Francis","container":{},"publicationYear":2015,"subjects":[{"subject":"Inorganic Chemistry"},{"subject":"FOS: Chemical sciences","schemeUri":"http://www.oecd.org/science/inno/38235147.pdf","subjectScheme":"Fields of Science and Technology (FOS)"},{"subject":"Mathematics"},{"subject":"FOS: Mathematics","schemeUri":"http://www.oecd.org/science/inno/38235147.pdf","subjectScheme":"Fields of Science and Technology (FOS)"},{"subject":"Information and Computing Sciences"},{"subject":"Biological Sciences"},{"subject":"Genetics"},{"subject":"FOS: Biological sciences","schemeUri":"http://www.oecd.org/science/inno/38235147.pdf","subjectScheme":"Fields of Science and Technology (FOS)"},{"subject":"Cell Biology"},{"subject":"Microbiology"}],"contributors":[],"dates":[{"date":"2015-12-05","dateType":"Created"},{"date":"2019-08-19","dateType":"Updated"},{"date":"2015","dateType":"Issued"}],"language":null,"types":{"ris":"GEN","bibtex":"misc","citeproc":"article","schemaOrg":"Collection","resourceType":"Collection","resourceTypeGeneral":"Collection"},"relatedIdentifiers":[{"relationType":"IsIdenticalTo","relatedIdentifier":"10.6084/m9.figshare.c.2017652","relatedIdentifierType":"DOI"}],"relatedItems":[],"sizes":[],"formats":[],"version":null,"rightsList":[{"rights":"Creative Commons Attribution 4.0 International","rightsUri":"https://creativecommons.org/licenses/by/4.0/legalcode","schemeUri":"https://spdx.org/licenses/","rightsIdentifier":"cc-by-4.0","rightsIdentifierScheme":"SPDX"}],"descriptions":[{"description":"Envelopes were recently proposed by Cook, Li and Chiaromonte as a method for reducing estimative and predictive variations in multivariate linear regression. We extend their formulation, proposing a general definition of an envelope and a general framework for adapting envelope methods to any estimation procedure. We apply the new envelope methods to weighted least squares, generalized linear models and Cox regression. Simulations and illustrative data analysis show the potential for envelope methods to significantly improve standard methods in linear discriminant analysis, logistic regression and Poisson regression. Supplementary materials for this article are available online.","descriptionType":"Abstract"}],"geoLocations":[],"fundingReferences":[],"xml":"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","url":"https://tandf.figshare.com/collections/Foundations_for_Envelope_Models_and_Methods/2017652/1","contentUrl":null,"metadataVersion":2,"schemaVersion":"http://datacite.org/schema/kernel-4","source":"mds","isActive":true,"state":"findable","reason":null,"viewCount":0,"viewsOverTime":[],"downloadCount":0,"downloadsOverTime":[],"referenceCount":0,"citationCount":0,"citationsOverTime":[],"partCount":0,"partOfCount":0,"versionCount":0,"versionOfCount":0,"created":"2015-12-05T19:12:37.000Z","registered":"2015-12-05T19:12:39.000Z","published":"2015","updated":"2024-03-21T08:32:09.000Z"},"relationships":{"client":{"data":{"id":"figshare.ars","type":"clients"}},"provider":{"data":{"id":"otjm","type":"providers"}},"media":{"data":{"id":"10.6084/m9.figshare.c.2017652.v1","type":"media"}},"references":{"data":[]},"citations":{"data":[]},"parts":{"data":[]},"partOf":{"data":[]},"versions":{"data":[]},"versionOf":{"data":[]}}}}