A decision-theoretic approach to subset selection

DOI10.1080/03610928108828199zbMath0484.62041OpenAlexW1969144772MaRDI QIDQ3943824

Jan F. Bjørnstad

Publication date: 1981

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610928108828199

zbMATH Keywords

monotone likelihood ratio familysemi-additive loss functionuniformly optimal permutation-invariant procedures

Mathematics Subject Classification ID

Minimax procedures in statistical decision theory (62C20) Statistical ranking and selection procedures (62F07) Admissibility in statistical decision theory (62C15)

Related Items (4)

Asymptotic consistency for subset selection procedures satisfying the \(P^ *\)-condition ⋮ Subset Selection Procedures: Review and Assessment ⋮ Some locally optimal subset selection rules for comparison with a control ⋮ Subset selection of superior populations when the number of populations is large

Cites Work

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• On general minimax theorems
• Minimax subset selection for loss measured by subset size
• On selecting a subset containing the best population - a Bayesian approach
• On the performance of some subset selection procedures
• Bayesian subset selection for additive and linear loss function
• On a Theorem of Bahadur and Goodman
• On Selecting A Subset of $k$ Populations Containing the Best
• Some Optimum Properties of Ranking Procedures
• On a Problem in the Theory of k Populations
• Impartial Decision Rules and Sufficient Statistics
• On a Class of Decision Procedures for Ranking Means of Normal Populations

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