Estimation of density level sets with a given probability content

DOI10.1080/10485252.2012.750319zbMath1297.62070OpenAlexW1997942192MaRDI QIDQ5299877

Bruno Pelletier, Pierre Pudlo, Benoît Cadre

Publication date: 24 June 2013

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

Full work available at URL: https://doi.org/10.1080/10485252.2012.750319

zbMATH Keywords

kernel estimatenonparametric statisticsdensity level sets

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05)

Related Items (16)

On the non-parametric multivariate control charts in fuzzy environment ⋮ A data-adaptive method for estimating density level sets under shape conditions ⋮ Measuring human activity spaces from GPS data with density ranking and summary curves ⋮ A control function approach to estimate panel data binary response model ⋮ Application of copulas to multivariate control charts ⋮ Nonparametric estimation of surface integrals on level sets ⋮ Hypothesis testing based on a vector of statistics ⋮ Methods for estimation of convex sets ⋮ Nonparametric estimation of directional highest density regions ⋮ Modal clustering using semiparametric mixtures and mode flattening ⋮ Mass volume curves and anomaly ranking ⋮ A population background for nonparametric density-based clustering ⋮ Unnamed Item ⋮ Bandwidth selection for kernel density estimators of multivariate level sets and highest density regions ⋮ A comparative simulation study of data-driven methods for estimating density level sets ⋮ Generalized cluster trees and singular measures

Cites Work

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• Measuring mass concentrations and estimating density contour clusters -- An excess mass approach
• Asymptotic normality of plug-in level set estimates
• Kernel estimation of density level sets
• Uniform in bandwidth consistency of kernel-type function estimators
• Set estimation and nonparametric detection
• PLUG-IN ESTIMATION OF GENERAL LEVEL SETS
• A Limit Theorem for Solutions of Inequalities
• Convergence rates in nonparametric estimation of level sets

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