On the asymptotics of trimmed best \(k\)-nets
DOI10.1006/jmva.2001.2033zbMath1098.62540OpenAlexW2002120720MaRDI QIDQ700155
Alfonso Gordaliza, Juan Antonio Cuesta-Albertos, Luis Angel García-Escudero
Publication date: 30 September 2002
Published in: Journal of Multivariate Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmva.2001.2033
consistencymode estimationclustering methods\(L_\infty\)-normhigh-density zonestrimmed best \(k\)-netsweak limit law
Classification and discrimination; cluster analysis (statistical aspects) (62H30) Central limit and other weak theorems (60F05) Robustness and adaptive procedures (parametric inference) (62F35) Strong limit theorems (60F15)
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- Cube root asymptotics
- The strong law of large numbers for k-means and best possible nets of Banach valued random variables
- Optimum kernel estimators
- Strong consistency of k-means clustering
- A central limit theorem for k-means clustering
- Best approximations to random variables based on trimming procedures
- Weak limit theorems for univariate \(k\)-mean clustering under a nonregular condition
- Asymptotics for multivariate trimming
- The asymptotics of Rousseeuw's minimum volume ellipsoid estimator
- Asymptotics for trimmed \(k\)-means and associated tolerance zones.
- Asymptotics for the minimum covariance determinant estimator
- Trimmed \(k\)-means: An attempt to robustify quantizers
- Trimmed best \(k\)-nets: A robustified version of an \(L_{\infty}\)-based clustering method
- Granulometric smoothing
- Concentration and goodness-of-fit in higher dimensions: (Asymptotically) distribution-free methods
- A central limit theorem for multivariate generalized trimmed \(k\)-means
- Measuring mass concentrations and estimating density contour clusters -- An excess mass approach
- Uniqueness of principal points for univariate distributions
- Estimation of the mode
- The Integral of a Symmetric Unimodal Function over a Symmetric Convex Set and Some Probability Inequalities
- On the Complexity of Some Common Geometric Location Problems
- Least Median of Squares Regression
- Excess Mass Estimates and Tests for Multimodality
- Uniqueness of locally optimal quantizer for log-concave density and convex error weighting function
- The asymptotic distributions of kernel estimators of the mode
- Finding Groups in Data
- Integrals on a moving manifold and geometrical probability
- Robustness Properties of k Means and Trimmed k Means
- Robust Estimates of Location: Survey and Advances
- Convergence of stochastic processes
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