Asymptotics of stationary points of local simplicial depth in the univariate case

DOI10.3103/S1066530713010031zbMath1284.62206OpenAlexW2029421662MaRDI QIDQ359393

Claudio Agostinelli, Mario Romanazzi

Publication date: 12 August 2013

Published in: Mathematical Methods of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066530713010031

zbMATH Keywords

asymptotic distributionempirical processeslocal simplicial depthmode hunting

Mathematics Subject Classification ID

Directional data; spatial statistics (62H11) Nonparametric estimation (62G05)

Uses Software

• modeest

Cites Work

• Unnamed Item
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• General notions of statistical depth function.
• Weak convergence and empirical processes. With applications to statistics
• Estimation of the mode
• Vanishing of mode B in the wake behind a rotationally oscillating circular cylinder
• Robust and efficient estimation of the mode of continuous data: the mode as a viable measure of central tendency
• On Estimation of a Probability Density Function and Mode