Title
Dissimilarity Functions For Rank-Invariant Hierarchical Clustering Of Continuous Variables
Abstract
A theoretical framework is presented for a (copula-based) notion of dissimilarity between continuous random vectors and its main properties are studied. The proposed dissimilarity assigns the smallest value to a pair of random vectors that are comonotonic. Various properties of this dissimilarity are studied, with special attention to those that are prone to the hierarchical agglomerative methods, such as reducibility. Some insights are provided for the use of such a measure in clustering algorithms and a simulation study is presented. Real case studies illustrate the main features of the whole methodology. (C) 2021 The Author(s). Published by Elsevier B.V.
Year
DOI
Venue
2021
10.1016/j.csda.2021.107201
COMPUTATIONAL STATISTICS & DATA ANALYSIS
Keywords
DocType
Volume
Comonotonicity, Copula, Cluster analysis, Dissimilarity, Stochastic dependence
Journal
159
ISSN
Citations 
PageRank 
0167-9473
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Sebastian Fuchs100.34
F. Marta L. Di Lascio2394.22
Fabrizio Durante339159.28