Asymptotic frameworks for high-dimensional two-group classification

Abstract

Asymptotic properties of two-group supervised classi cation rules designed for problems with much more variables than observations are discussed. Two types of asymptotic bounds on expected error rates are considered: (i) bounds that assume consistent mean estimators and focus on the impact of the covariance matrix estimation. (ii) bounds that consider the errors in mean and covariance estimation. Known results for independence-based classi cation rules are generalized to correlationadjusted linear rules.info:eu-repo/semantics/publishedVersio

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