Minimax risk inequalities for the location parameter classification problem

DOI10.1006/JMVA.1998.1748zbMath1138.62302OpenAlexW2055112376MaRDI QIDQ1268020

Pieter C. Allaart

Publication date: 14 October 1998

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmva.1998.1748

zbMATH Keywords

classificationconcentration functionconvexity theoremminimax riskoptimal-partitioningpartition rangetail concentration

Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30) Inequalities; stochastic orderings (60E15) Minimax procedures in statistical decision theory (62C20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Partitioning inequalities in probability and statistics
• Optimal-partitioning inequalities in classification and multi-hypotheses testing
• Relations among certain ranges of vector measures
• Inequalities for α-Optimal Partitioning of a Measurable Space
• A Characterization of Vector Measures with Convex Range

This page was built for publication: Minimax risk inequalities for the location parameter classification problem