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A measure of dependence between two compositions

Bergman, Jakob LU orcid and Holmquist, Björn LU orcid (2009)
Abstract
A composition is a vector of positive components summing to a constant.

We consider the problem of describing the correlation between two compo-

sitions. Using a bicompositional Dirichlet distribution, we calculate a joint

correlation coefficient, based on the concept of information gain, between two

compositions. Numerical values of the joint correlation coefficient are calcu-

lated for compositions of two and three components.
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Working paper/Preprint
publication status
published
subject
keywords
Dirichlet distribution, Correlation, Composition, Binomial coefficient differentiation, Simplex
pages
12 pages
publisher
Department of Statistics, Lund university
language
English
LU publication?
yes
id
554dfb77-d3ca-4c18-aeac-558d9ae64b1b (old id 1580926)
alternative location
http://www.stat.lu.se/publikationer/wp
date added to LUP
2016-04-04 11:43:14
date last changed
2025-04-04 14:03:30
@misc{554dfb77-d3ca-4c18-aeac-558d9ae64b1b,
  abstract     = {{A composition is a vector of positive components summing to a constant.<br/><br>
We consider the problem of describing the correlation between two compo-<br/><br>
sitions. Using a bicompositional Dirichlet distribution, we calculate a joint<br/><br>
correlation coefficient, based on the concept of information gain, between two<br/><br>
compositions. Numerical values of the joint correlation coefficient are calcu-<br/><br>
lated for compositions of two and three components.}},
  author       = {{Bergman, Jakob and Holmquist, Björn}},
  keywords     = {{Dirichlet distribution; Correlation; Composition; Binomial coefficient differentiation; Simplex}},
  language     = {{eng}},
  note         = {{Working Paper}},
  publisher    = {{Department of Statistics, Lund university}},
  title        = {{A measure of dependence between two compositions}},
  url          = {{https://lup.lub.lu.se/search/files/5839442/1580932.pdf}},
  year         = {{2009}},
}