Matches in SemOpenAlex for { <https://semopenalex.org/work/W4297197893> ?p ?o ?g. }
Showing items 1 to 55 of
55
with 100 items per page.
- W4297197893 abstract "Parameter ensembles or sets of point estimates constitute one of the cornerstones of modern statistical practice. This is especially the case in Bayesian hierarchical models, where different decision-theoretic frameworks can be deployed to summarize such parameter ensembles. The estimation of these parameter ensembles may thus substantially vary depending on which inferential goals are prioritised by the modeller. In this note, we consider the problem of classifying the elements of a parameter ensemble above or below a given threshold. Two threshold classification losses (TCLs) --weighted and unweighted-- are formulated. The weighted TCL can be used to emphasize the estimation of false positives over false negatives or the converse. We prove that the weighted and unweighted TCLs are optimized by the ensembles of unit-specific posterior quantiles and posterior medians, respectively. In addition, we relate these classification loss functions on parameter ensembles to the concepts of posterior sensitivity and specificity. Finally, we find some relationships between the unweighted TCL and the absolute value loss, which explain why both functions are minimized by posterior medians." @default.
- W4297197893 created "2022-09-27" @default.
- W4297197893 creator A5046537368 @default.
- W4297197893 creator A5056278561 @default.
- W4297197893 creator A5067650620 @default.
- W4297197893 date "2011-05-31" @default.
- W4297197893 modified "2023-10-16" @default.
- W4297197893 title "Classification Loss Function for Parameter Ensembles in Bayesian Hierarchical Models" @default.
- W4297197893 doi "https://doi.org/10.48550/arxiv.1105.6322" @default.
- W4297197893 hasPublicationYear "2011" @default.
- W4297197893 type Work @default.
- W4297197893 citedByCount "0" @default.
- W4297197893 crossrefType "posted-content" @default.
- W4297197893 hasAuthorship W4297197893A5046537368 @default.
- W4297197893 hasAuthorship W4297197893A5056278561 @default.
- W4297197893 hasAuthorship W4297197893A5067650620 @default.
- W4297197893 hasBestOaLocation W42971978931 @default.
- W4297197893 hasConcept C105795698 @default.
- W4297197893 hasConcept C107673813 @default.
- W4297197893 hasConcept C118671147 @default.
- W4297197893 hasConcept C154945302 @default.
- W4297197893 hasConcept C177769412 @default.
- W4297197893 hasConcept C191413810 @default.
- W4297197893 hasConcept C207201462 @default.
- W4297197893 hasConcept C33923547 @default.
- W4297197893 hasConcept C41008148 @default.
- W4297197893 hasConcept C41426520 @default.
- W4297197893 hasConcept C57830394 @default.
- W4297197893 hasConceptScore W4297197893C105795698 @default.
- W4297197893 hasConceptScore W4297197893C107673813 @default.
- W4297197893 hasConceptScore W4297197893C118671147 @default.
- W4297197893 hasConceptScore W4297197893C154945302 @default.
- W4297197893 hasConceptScore W4297197893C177769412 @default.
- W4297197893 hasConceptScore W4297197893C191413810 @default.
- W4297197893 hasConceptScore W4297197893C207201462 @default.
- W4297197893 hasConceptScore W4297197893C33923547 @default.
- W4297197893 hasConceptScore W4297197893C41008148 @default.
- W4297197893 hasConceptScore W4297197893C41426520 @default.
- W4297197893 hasConceptScore W4297197893C57830394 @default.
- W4297197893 hasLocation W42971978931 @default.
- W4297197893 hasOpenAccess W4297197893 @default.
- W4297197893 hasPrimaryLocation W42971978931 @default.
- W4297197893 hasRelatedWork W1591629481 @default.
- W4297197893 hasRelatedWork W1653667406 @default.
- W4297197893 hasRelatedWork W2138266733 @default.
- W4297197893 hasRelatedWork W2184592057 @default.
- W4297197893 hasRelatedWork W2507458234 @default.
- W4297197893 hasRelatedWork W2981461142 @default.
- W4297197893 hasRelatedWork W3163707242 @default.
- W4297197893 hasRelatedWork W4224094025 @default.
- W4297197893 hasRelatedWork W4246698572 @default.
- W4297197893 hasRelatedWork W1592916872 @default.
- W4297197893 isParatext "false" @default.
- W4297197893 isRetracted "false" @default.
- W4297197893 workType "article" @default.