A Bicompositional Dirichlet Distribution
Författare
Summary, in English
The Simplex S^D is the sample space of a D-part composition. There are only a few distributions defined on the Simplex and even fewer defined on the Cartesian product S^D x S^D. Based on the Dirichlet distribution, defined on S^D, we propose a new bicompositional Dirichlet distribution defined on S^D x S^D, and examine some of its properties, such as moments as well as marginal and conditional distributions. The proposed distribution allows for modelling of covariation between compositions without leaving S^D x S^D.
Avdelning/ar
Publiceringsår
2009
Språk
Engelska
Fulltext
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Dokumenttyp
Working paper
Förlag
Department of Statistics, Lund university
Ämne
- Probability Theory and Statistics
Nyckelord
- Dirichlet distribution
- Cartesian product
- compositional data
- Simplex
Status
Published