On the Structure of UMVUEs

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dc.contributor.authorKagan, Abram M.
dc.contributor.authorMalinovsky, Yaakov
dc.date.accessioned2024-11-14T15:18:30Z
dc.date.available2024-11-14T15:18:30Z
dc.date.issued2015-08-06
dc.description.abstractIn all setups when the structure of UMVUEs is known, there exists a subalgebra U (MVE-algebra) of the basic s-algebra such that all U-measurable statistics with finite second moments are UMVUEs. It is shown that MVE-algebras are, in a sense, similar to the subalgebras generated by complete sufficient statistics. Examples are given when these subalgebras differ, in these cases a new statistical structure arises.
dc.description.urihttps://link.springer.com/article/10.1007/s13171-015-0076-5
dc.format.extent12 pages
dc.genrejournal articles
dc.genrepreprints
dc.identifierdoi:10.13016/m2vhg5-jkqv
dc.identifier.citationKagan, Abram M., and Yaakov Malinovsky. “On the Structure of UMVUEs.” Sankhya A 78, no. 1 (February 1, 2016): 124–32. https://doi.org/10.1007/s13171-015-0076-5.
dc.identifier.urihttps://doi.org/10.1007/s13171-015-0076-5
dc.identifier.urihttp://hdl.handle.net/11603/36928
dc.language.isoen_US
dc.publisherSpringer
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Mathematics and Statistics Department
dc.relation.ispartofUMBC Faculty Collection
dc.rightsThis item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author
dc.subject62G05
dc.subjectCategorical data
dc.subjectCompleteness
dc.subjectMVE-algebra
dc.subjectPrimary 62B99; Secondary 62F10
dc.subjectSufficiency
dc.titleOn the Structure of UMVUEs
dc.typeText
dcterms.creatorhttps://orcid.org/0000-0003-2888-674X

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