A note on the local asymptotically minimax rate for estimating a crossing point in a diagnostic marker problem

DOI10.1016/0167-7152(94)00167-7zbMath0830.62048OpenAlexW2044640842MaRDI QIDQ1897083

Bruce W. Turnbull, Fushing Hsieh

Publication date: 17 September 1995

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://hdl.handle.net/1813/8947

zbMATH Keywords

Hölder continuitydensity estimationoptimal rate of convergenceclassification problemYouden indexdiagnostic testcrossing point of two densitiesdiagnostic marker

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Applications of statistics to biology and medical sciences; meta analysis (62P10)

Cites Work

• Cube root asymptotics
• Weak and strong uniform consistency of the kernel estimate of a density and its derivatives
• Estimation of the mode
• A characterization of limiting distributions of regular estimates
• Unnamed Item

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