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Cluster analysis; a survey

Author: Benjamin S Duran; Patrick L Odell
Publisher: Berlin, New York, Springer-Verlag, 1974.
Series: Lecture notes in economics and mathematical systems, 100.; Econometrics.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

A tremendous amount of work has been done over the last thirty years in cluster analysis, with a significant amount occurring since 1960. The main intent of the monograph is to give the reader a  Read more...

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Additional Physical Format: Online version:
Duran, Benjamin S., 1939-
Cluster analysis.
Berlin, New York, Springer-Verlag, 1974
(OCoLC)624427711
Document Type: Book
All Authors / Contributors: Benjamin S Duran; Patrick L Odell
ISBN: 0387069542 9780387069548 3540069542 9783540069546
OCLC Number: 1009739
Description: vi, 137 pages illustrations 25 cm.
Contents: 1. The Cluster Problem and Preliminary Ideas.- 1.1 Basic Notions and Definitions.- 1.2 The Cluster Problem.- 1.3 Distance Functions.- 1.4 Measures of Similarity.- 1.5 Distance and Similarity Between Clusters.- 1.6 Cluster Methods Based on Euclidean Distance.- 1.7 An Algorithm for Hierarchical Clustering.- 1.8 Other Aspects of the Cluster Problem.- 2. Clustering by Complete Enumeration.- 2.1 Introduction.- 2.2 The Number of Partitions of n Objects into m Non-empty Subsets.- 2.3 Recursive Relation for Stirling's Numbers of the Second Kind.- 2.4 Computational Aspects of Complete Enumeration.- 3. Mathematical Programming and Cluster Analysis.- 3.1 Application of Dynamic Programming to the Cluster Problem.- 3.2 Jensen's Dynamic Programming Model.- 3.3 Integer Programming Applications to Cluster Analysis.- 4. Similarity Matrix Representations.- 4.1 Dendograms.- 4.2 Comparison of Dendograms or Their Similarity Matrices.- 4.3 Basic Definitions.- 4.4 Trees.- 4.5 Local Operations on Trees.- 5. Clustering Based on Density Estimation.- 5.1 Mode Analysis.- 5.2 Probability Density Function Estimation.- 5.3 Clustering Based on Density Estimation.- 5.4 Remarks.- 6. Applications.- 6.1 Application to Remote Sensing Data.- 6.2 Application of Density Estimation Technique to Fisher's Iris Data.- 7. Historical Comments.- References.
Series Title: Lecture notes in economics and mathematical systems, 100.; Econometrics.
Responsibility: [by] Benjamin S. Duran [and] Patrick L. Odell.

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