Second-order expansion for the expected regret risk in classification of one-parametric distributions

DOI10.1007/BF02469282zbMath0944.62060OpenAlexW2068652810MaRDI QIDQ1568066

N. Delaunay

Publication date: 27 September 2000

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02469282

zbMATH Keywords

asymptotic expansionstraining sampleBayes classification ruleexpected regret risk

Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30)

Related Items (1)

Second-order asymptotic expansion for the risk in classification of curved exponential populations.

Cites Work

• Unnamed Item
• Unnamed Item
• Asymptotic efficiency of statistical estimators: concepts and higher order asymptotic efficiency
• Defining the curvature of a statistical problem (with applications to second order efficiency)
• An asymptotic analysis of the regret risk in discriminant analysis under various training schemes.
• Higher order asymptotic theory for discriminant analysis in exponential families of distributions
• Second- and third-order bias reduction for one-parameter family models
• Optimal training sample allocation and asymptotic expansions for error rates in discriminant analysis
• Asymptotic Expansions Associated with Some Statistical Estimators in the Smooth Case. II. Expansions of Moments and Distributions
• An Asymptotic Expansion for the Distribution of the Linear Discriminant Function

This page was built for publication: Second-order expansion for the expected regret risk in classification of one-parametric distributions