Note on distribution-free estimation of maximum linear separation of two multivariate distributions

DOI10.1080/10485250600662260zbMath1100.62041OpenAlexW2124267082WikidataQ58322555 ScholiaQ58322555MaRDI QIDQ5478897

Aiyi Liu, Enrique F. Schisterman, Albert Vexler, Chengqing Wu

Publication date: 13 July 2006

Published in: Journal of Nonparametric Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10485250600662260

zbMATH Keywords

nonparametric Behrens-Fisher problemKernel estimationLinear combinationMeasure of separationReceiver operating characteristic curvesStress-strength problem

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Classification and discrimination; cluster analysis (statistical aspects) (62H30) Nonparametric estimation (62G05) Nonparametric tolerance and confidence regions (62G15) Monte Carlo methods (65C05) Nonparametric inference (62G99)

Related Items (7)

Empirical likelihood ratio confidence interval estimation of best linear combinations of biomarkers ⋮ A two-sample empirical likelihood ratio test based on samples entropy ⋮ Linear biomarker combination for constrained classification ⋮ Confidence interval estimation of the difference between paired AUCs based on combined biomarkers ⋮ Nonparametric deconvolution of density estimation based on observed sums ⋮ Selection and combination of biomarkers using ROC method for disease classification and prediction ⋮ Combination of multiple functional markers to improve diagnostic accuracy

Cites Work

• Unnamed Item
• Local linear smoothing of receiver operating characteristic (ROC) curves
• Nonparametric and semiparametric estimation of the receiver operating characteristic curve
• Distribution-free confidence bounds for \(P(X < Y)\)
• A Distribution-Free Upper Confidence Bound for $\Pr \{Y &lt; X\}$, Based on Independent Samples of $X$ and $Y$
• A Smooth Nonparametric Estimator of a Quantile Function
• Linear Combinations of Multiple Diagnostic Markers
• Confidence Intervals for the Generalized ROC Criterion
• Combining diagnostic test results to increase accuracy
• Nonparametric Upper Confidence Bounds for Pr{Y < X} and Confidence Limits for Pr{Y < X} When X and Y are Normal

This page was built for publication: Note on distribution-free estimation of maximum linear separation of two multivariate distributions