Optimal-partitioning inequalities in classification and multi-hypotheses testing

DOI10.1214/aos/1176347272zbMath0683.62036OpenAlexW2147729049MaRDI QIDQ1824968

Y. L. Tong, Theodore P. Hill

Publication date: 1989

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1176347272

zbMATH Keywords

classificationdiscriminant analysisconcentration functionconvexity theoremcontinuous distributionsoptimal-partitioning inequalitiesBest possible boundsLévy concentrationsmaximum likelihood ratio propertyminimax risk for location parameter familiesminimax risk inequalitiesmulti-hypotheses testingsymmetric unimodal continuous distributionstail concentrations

Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30) Inequalities; stochastic orderings (60E15)

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