Estimating the number of clusters

DOI10.2307/3315985zbMath0981.62054OpenAlexW2109904733MaRDI QIDQ4521145

Antonio Cuevas, Ricardo Fraiman, Manuel Febrero

Publication date: 26 March 2002

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

Full work available at URL: https://doi.org/10.2307/3315985

zbMATH Keywords

cluster analysislevel setssmoothed bootstrapsupport estimationnumber of modes

Mathematics Subject Classification ID

Density estimation (62G07) Classification and discrimination; cluster analysis (statistical aspects) (62H30) Nonparametric estimation (62G05)

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Cites Work

• Unnamed Item
• Minimax theory of image reconstruction
• The dip test of unimodality
• Approximations to distributions of statistics used for testing hypotheses about the number of modes of a population
• Some asymptotics for multimodality tests based on kernel density estimates
• A plug-in approach to support estimation
• Measuring mass concentrations and estimating density contour clusters -- An excess mass approach
• Counting bumps
• Density Estimation and Bump-Hunting by the Penalized Likelihood Method Exemplified by Scattering and Meteorite Data
• Detection of Abnormal Behavior Via Nonparametric Estimation of the Support
• Cross-Validation of Multivariate Densities
• On Locally Adaptive Density Estimation
• On Qualitative Smoothness of Kernel Density Estimates¹
• Cluster analysis: a further approach based on density estimation.