A data-adaptive method for estimating density level sets under shape conditions

Density estimation (62G07) Nonparametric estimation (62G05) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (1)

Introduction to the special issue on Data Science for COVID-19

Uses Software

alphahull
alphashape3d
lsbs

Cites Work

Bandwidth selection for kernel density estimators of multivariate level sets and highest density regions
Confidence regions for level sets
Optimal rates for plug-in estimators of density level sets
Generalized density clustering
Adaptive Hausdorff estimation of density level sets
Fully adaptive density-based clustering
Novelty detection: a review. I. Statistical approaches
A network flow approach in finding maximum likelihood estimate of high concentration regions
Asymptotics and optimal bandwidth selection for highest density region estimation
The length of the shorth
Uniform convergence of the empirical distribution function over convex sets
Minimum volume sets and generalized quantile processes
On nonparametric estimation of density level sets
Granulometric smoothing
A plug-in approach to support estimation
Total error in a plug-in estimator of level sets.
Rates of strong uniform consistency for multivariate kernel density estimators. (Vitesse de convergence uniforme presque sûre pour des estimateurs à noyaux de densités multivariées)
Asymptotical minimax recovery of sets with smooth boundaries
Measuring mass concentrations and estimating density contour clusters -- An excess mass approach
Multivariate plug-in bandwidth selection
High-dimensional nonparametric density estimation via symmetry and shape constraints
Measuring human activity spaces from GPS data with density ranking and summary curves
Asymptotics and optimal bandwidth for nonparametric estimation of density level sets
Asymptotic normality of plug-in level set estimates
On estimating the perimeter using the alpha-shape
Parametric versus nonparametric tolerance regions in detection problems
Kernel estimation of density level sets
Estimation of the mode
On Statistical Properties of Sets Fulfilling Rolling-Type Conditions
A fully data-driven method for estimating the shape of a point cloud
Excess Mass Estimates and Tests for Multimodality
On the shape of a set of points in the plane
Estimation of a Convex Density Contour in Two Dimensions
Modeling Spatial Variation in Leukemia Survival Data
Estimation of density level sets with a given probability content
Rates of Convergence for a Bayesian Level Set Estimation
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