Bandwidth selection for kernel density estimators of multivariate level sets and highest density regions
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Publication:147915
DOI10.48550/arXiv.1806.00731zbMath1409.62083arXiv1806.00731OpenAlexW2962715586WikidataQ128780137 ScholiaQ128780137MaRDI QIDQ147915
Charles R. Doss, Guangwei Weng, Guangwei Weng, Charles R. Doss
Publication date: 3 June 2018
Published in: Electronic Journal of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.00731
Density estimation (62G07) Estimation in multivariate analysis (62H12) Asymptotic properties of nonparametric inference (62G20)
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Uses Software
Cites Work
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- Confidence regions for level sets
- Generalized density clustering
- Multivariate plug-in bandwidth selection with unconstrained pilot bandwidth matrices
- Asymptotics and optimal bandwidth selection for highest density region estimation
- Extent to which least-squares cross-validation minimises integrated square error in nonparametric density estimation
- Smoothed cross-validation
- Exact mean integrated squared error
- On nonparametric estimation of density level sets
- Granulometric smoothing
- Total error in a plug-in estimator of level sets.
- Level sets and minimum volume sets of probability density functions.
- Smooth discrimination analysis
- Quasi-Monte Carlo integration on manifolds with mapped low-discrepancy points and greedy minimal Riesz \(s\)-energy points
- Rates of strong uniform consistency for multivariate kernel density estimators. (Vitesse de convergence uniforme presque sûre pour des estimateurs à noyaux de densités multivariées)
- Weighted uniform consistency of kernel density estimators.
- Measuring mass concentrations and estimating density contour clusters -- An excess mass approach
- Weak convergence and empirical processes. With applications to statistics
- Multivariate plug-in bandwidth selection
- Asymptotic normality of plug-in level set estimates
- Kernel estimation of density level sets
- Confidence Regions for Means of Random Sets Using Oriented Distance Functions
- Asymptotics for general multivariate kernel density derivative estimators
- A Computable Plug-In Estimator of Minimum Volume Sets for Novelty Detection
- A Brief Survey of Bandwidth Selection for Density Estimation
- Excess Mass Estimates and Tests for Multimodality
- Estimation of a Convex Density Contour in Two Dimensions
- Biased and Unbiased Cross-Validation in Density Estimation
- Uniform Central Limit Theorems
- Cross-Validation of Multivariate Densities
- Nonparametric Estimation of Regression Level Sets
- Plug-in bandwidth matrices for bivariate kernel density estimation
- Highest Density Difference Region Estimation with Application to Flow Cytometric Data
- Comparison of Smoothing Parameterizations in Bivariate Kernel Density Estimation
- Estimation of density level sets with a given probability content
- Cross-validation Bandwidth Matrices for Multivariate Kernel Density Estimation
- Probability
- Cluster analysis: a further approach based on density estimation.
- Convergence rates in nonparametric estimation of level sets
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