Level set and density estimation on manifolds
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Publication:2078576
DOI10.1016/j.jmva.2021.104925zbMath1493.62646OpenAlexW4205892330MaRDI QIDQ2078576
Leonardo Moreno, Alejandro Cholaquidis, Ricardo Fraiman
Publication date: 1 March 2022
Published in: Journal of Multivariate Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmva.2021.104925
Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Statistics on manifolds (62R30)
Uses Software
Cites Work
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- Kernel density estimation with spherical data
- An introduction to recent advances in high/infinite dimensional statistics
- A partial overview of the theory of statistics with functional data
- Set estimation under convexity type assumptions
- Intrinsic statistics on Riemannian manifolds: Basic tools for geometric measurements
- Kernel density estimation on Riemannian manifolds: asymptotic results
- Asymptotic data analysis on manifolds
- 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.
- Applied functional data analysis. Methods and case studies
- Density estimation on manifolds with boundary
- Recent advances in functional data analysis and high-dimensional statistics
- Measuring mass concentrations and estimating density contour clusters -- An excess mass approach
- Nonparametric statistics of dynamic networks with distinguishable nodes
- On Poincaré cone property
- Functional data analysis.
- Level Set Estimation
- On Statistical Properties of Sets Fulfilling Rolling-Type Conditions
- Excess Mass Estimates and Tests for Multimodality
- PLUG-IN ESTIMATION OF GENERAL LEVEL SETS
- Length and surface area estimation under smoothness restrictions
- Estimation of a Convex Density Contour in Two Dimensions
- A Limit Theorem for Solutions of Inequalities
- Detection of Abnormal Behavior Via Nonparametric Estimation of the Support
- Three-dimensional alpha shapes
- Estimating the number of clusters
- Principal Curves
- On power and sample size determinations for the Wilcoxon–Mann–Whitney test
- Minimax Manifold Estimation
- Another look at principal curves and surfaces
- Cluster analysis: a further approach based on density estimation.
- Convergence rates in nonparametric estimation of level sets