An asymptotic result on principal points for univariate distributions

DOI10.1080/02331939408843931zbMath0813.62012OpenAlexW1591653069MaRDI QIDQ3835650

Klaus Felsenstein, Klaus Pötzelberger

Publication date: 6 June 1995

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://epub.wu.ac.at/572/1/document.pdf

zbMATH Keywords

normal distributiongamma distributionasymptotically optimal quantilesgeneralization of the meanprincipal points of univariate distributions

Mathematics Subject Classification ID

Design of statistical experiments (62K99) Numerical optimization and variational techniques (65K10) Approximations to statistical distributions (nonasymptotic) (62E17)

Related Items

Finding the principal points of a random variable, A principal subspace theorem for 2-principal points of general location mixtures of spherically symmetric distributions, Best finite constrained approximations of one-dimensional probabilities, Principal points of a multivariate mixture distribution, Optimal estimators of principal points for minimizing expected mean squared distance, A parametric \(k\)-means algorithm, METHODS FOR ESTIMATING PRINCIPAL POINTS, Principal points for an allometric extension model

Cites Work

• Unnamed Item
• Unnamed Item
• On some significance tests in cluster analysis
• Strong consistency of k-means clustering
• A central limit theorem for k-means clustering
• Asymptotic distributions for clustering criteria
• Principal points
• Note on Grouping