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A measure of dependence between two compositions

Publiceringsår: 2009
Språk: Engelska
Sidor: 12
Nummer: 4
Dokumenttyp: Working paper
Förlag: Department of Statistics


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.



  • Mathematics and Statistics
  • Dirichlet distribution
  • Correlation
  • Composition
  • Binomial coefficient differentiation
  • Simplex



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