Matches in SemOpenAlex for { <https://semopenalex.org/work/W2004951608> ?p ?o ?g. }
- W2004951608 abstract "This paper studies a class of default priors, which we call single observation unbiased priors (SOUP). A prior for a parameter is a SOUP if the corresponding posterior mean of the parameter based on a single observation is an unbiased estimator of the parameter. We prove that, under mild regularity conditions, a default prior for a convolution parameter is noninformative in the sense of yielding a posterior inference invariant under amalgamation only if it is a SOUP. Therefore, when amalgamation invariance is desirable, as in our motivating example of performing imputation for census undercount, SOUP is the only possible coherent noninformative prior for Bayesian predictions that will be utilized under aggregation. The use of SOUP also mutually calibrates Bayesian and frequentist inferences for aggregates of convolution parameters across many small areas. We describe approaches that identify SOUPs in many common models, in particular a constructive duality method that identifies SOUPs in pairs of distribution families. We introduce O-completeness, a necessary and sufficient condition for a prior distribution to be uniquely characterized by the corresponding posterior mean. Uniqueness of the SOUP is determined by the O-completeness of the dual family. O-completeness of a natural exponential family is implied by its completeness. Hence, the Diaconis-Ylvisaker characterization of the conjugate prior for natural exponential families via linear posterior expectation is a direct consequence of the completeness of such families. For most of the examples we have examined, the inverse of the variance function is the SOUP for the mean parameter of the corresponding family, suggesting that Hartigan's results on asymptotic unbiasedness can be generalized to some families with discrete parameters. We also discuss a possible extension of Berger's result on the inadmissibility of unbiased estimators, as the nonexistence of SOUP can be a first step in establishing such inadmissibility." @default.
- W2004951608 created "2016-06-24" @default.
- W2004951608 creator A5053980999 @default.
- W2004951608 creator A5085990293 @default.
- W2004951608 date "2002-10-01" @default.
- W2004951608 modified "2023-09-27" @default.
- W2004951608 title "Single observation unbiased priors" @default.
- W2004951608 cites W120426795 @default.
- W2004951608 cites W1499274047 @default.
- W2004951608 cites W1564075646 @default.
- W2004951608 cites W1573084488 @default.
- W2004951608 cites W1966511642 @default.
- W2004951608 cites W1986558198 @default.
- W2004951608 cites W1988189904 @default.
- W2004951608 cites W1988520084 @default.
- W2004951608 cites W1990029739 @default.
- W2004951608 cites W1992081102 @default.
- W2004951608 cites W2007663459 @default.
- W2004951608 cites W2012198314 @default.
- W2004951608 cites W2029100387 @default.
- W2004951608 cites W2032076332 @default.
- W2004951608 cites W2046338987 @default.
- W2004951608 cites W2051460316 @default.
- W2004951608 cites W2056501810 @default.
- W2004951608 cites W2060619704 @default.
- W2004951608 cites W2074607410 @default.
- W2004951608 cites W2078129874 @default.
- W2004951608 cites W2083821351 @default.
- W2004951608 cites W2086438225 @default.
- W2004951608 cites W2092151549 @default.
- W2004951608 cites W2093088624 @default.
- W2004951608 cites W2094728279 @default.
- W2004951608 cites W2118502261 @default.
- W2004951608 cites W2143143555 @default.
- W2004951608 cites W2170563869 @default.
- W2004951608 cites W2314891408 @default.
- W2004951608 cites W2904185096 @default.
- W2004951608 cites W4211101039 @default.
- W2004951608 cites W4213201159 @default.
- W2004951608 cites W4233115135 @default.
- W2004951608 cites W4234371802 @default.
- W2004951608 doi "https://doi.org/10.1214/aos/1035844979" @default.
- W2004951608 hasPublicationYear "2002" @default.
- W2004951608 type Work @default.
- W2004951608 sameAs 2004951608 @default.
- W2004951608 citedByCount "26" @default.
- W2004951608 countsByYear W20049516082013 @default.
- W2004951608 countsByYear W20049516082014 @default.
- W2004951608 countsByYear W20049516082015 @default.
- W2004951608 countsByYear W20049516082017 @default.
- W2004951608 countsByYear W20049516082020 @default.
- W2004951608 countsByYear W20049516082021 @default.
- W2004951608 crossrefType "journal-article" @default.
- W2004951608 hasAuthorship W2004951608A5053980999 @default.
- W2004951608 hasAuthorship W2004951608A5085990293 @default.
- W2004951608 hasBestOaLocation W20049516081 @default.
- W2004951608 hasConcept C105795698 @default.
- W2004951608 hasConcept C107673813 @default.
- W2004951608 hasConcept C134306372 @default.
- W2004951608 hasConcept C160234255 @default.
- W2004951608 hasConcept C162376815 @default.
- W2004951608 hasConcept C165646398 @default.
- W2004951608 hasConcept C17231256 @default.
- W2004951608 hasConcept C177769412 @default.
- W2004951608 hasConcept C185429906 @default.
- W2004951608 hasConcept C191393472 @default.
- W2004951608 hasConcept C26004113 @default.
- W2004951608 hasConcept C28826006 @default.
- W2004951608 hasConcept C33923547 @default.
- W2004951608 hasConcept C55974624 @default.
- W2004951608 hasConcept C57830394 @default.
- W2004951608 hasConceptScore W2004951608C105795698 @default.
- W2004951608 hasConceptScore W2004951608C107673813 @default.
- W2004951608 hasConceptScore W2004951608C134306372 @default.
- W2004951608 hasConceptScore W2004951608C160234255 @default.
- W2004951608 hasConceptScore W2004951608C162376815 @default.
- W2004951608 hasConceptScore W2004951608C165646398 @default.
- W2004951608 hasConceptScore W2004951608C17231256 @default.
- W2004951608 hasConceptScore W2004951608C177769412 @default.
- W2004951608 hasConceptScore W2004951608C185429906 @default.
- W2004951608 hasConceptScore W2004951608C191393472 @default.
- W2004951608 hasConceptScore W2004951608C26004113 @default.
- W2004951608 hasConceptScore W2004951608C28826006 @default.
- W2004951608 hasConceptScore W2004951608C33923547 @default.
- W2004951608 hasConceptScore W2004951608C55974624 @default.
- W2004951608 hasConceptScore W2004951608C57830394 @default.
- W2004951608 hasIssue "5" @default.
- W2004951608 hasLocation W20049516081 @default.
- W2004951608 hasOpenAccess W2004951608 @default.
- W2004951608 hasPrimaryLocation W20049516081 @default.
- W2004951608 hasRelatedWork W135634764 @default.
- W2004951608 hasRelatedWork W2004951608 @default.
- W2004951608 hasRelatedWork W2021864944 @default.
- W2004951608 hasRelatedWork W2046716561 @default.
- W2004951608 hasRelatedWork W2086321337 @default.
- W2004951608 hasRelatedWork W2123632630 @default.
- W2004951608 hasRelatedWork W2755006797 @default.
- W2004951608 hasRelatedWork W2767976371 @default.
- W2004951608 hasRelatedWork W2965182728 @default.
- W2004951608 hasRelatedWork W3160261929 @default.