Degree Frequencies in the Minimal Spanning Tree and Dimension Identification

DOI10.1081/STA-120026579zbMath1255.62153OpenAlexW2071374370MaRDI QIDQ4449146

Adolfo J. Quiroz, María Rosa Brito

Publication date: 5 February 2004

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/sta-120026579

zbMATH Keywords

dimensionality reductionmultidimensional scalingproximity dataminimal spanning tree

Mathematics Subject Classification ID

Multivariate analysis (62H99) Trees (05C05) Characterization and structure theory for multivariate probability distributions; copulas (62H05) Applications of graph theory (05C90) One- and multidimensional scaling in the social and behavioral sciences (91C15)

Cites Work

• Multivariate generalizations of the Wald-Wolfowitz and Smirnov two-sample tests
• Modern multidimensional scaling: theory and applications
• The central limit theorem for Euclidean minimal spanning trees. I
• Graph-theoretic procedures for dimension identification
• Nonmetric multidimensional scaling. A numerical method
• On the number of leaves of a euclidean minimal spanning tree
• Generalization of the Gap Test for the Detection of Multivariate Outliers
• The central limit theorem for Euclidean minimal spanning trees II
• Graph-Theoretical Methods for Detecting and Describing Gestalt Clusters

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