Asymptotic consistency for subset selection procedures satisfying the \(P^ *\)-condition

DOI10.1016/0378-3758(86)90142-4zbMath0611.62022OpenAlexW1487347168MaRDI QIDQ1087263

Jan F. Bjørnstad

Publication date: 1986

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(86)90142-4

zbMATH Keywords

multivariate normal populationsriskasymptotic consistencynormalloss functionsbinomial populationslarge sample theoryNecessary and sufficient conditionssubset selection procedureminimax proceduresGupta's procedureMahalanobis distancesminimum lossmultinomial cellspointwise and uniform consistencyselecting the best population

Mathematics Subject Classification ID

Statistical decision theory (62C99) Statistical ranking and selection procedures (62F07)

Cites Work

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• On Some Multiple Decision (Selection and Ranking) Rules
• On Selecting A Subset of $k$ Populations Containing the Best
• A Selection Procedure for Multivariate Normal Distributions in Terms of the Generalized Variances
• On a Class of Subset Selection Procedures
• On a Class of Decision Procedures for Ranking Means of Normal Populations

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