Dirichlet distribution
The Dirichlet distribution on the simplex.
rDirichlet.acomp(n,alpha) rDirichlet.rcomp(n,alpha)
n |
number of datasets to be simulated |
alpha |
parameters of the Dirichlet distribution |
The Dirichlet distribution is the result of closing a vector of equally-scaled Gamma-distributed variables. It the conjugate prior distribution for a vector of probabilities of a multinomial distribution. Thus, it generalizes the beta distribution for more than two parts.
a generated random dataset of class "acomp" or "rcomp",
drawn from a Dirichlet distribution with the given parameter
alpha. The names of alpha are used to name the parts.
K.Gerald v.d. Boogaart http://www.stat.boogaart.de, Raimon Tolosana-Delgado
Aitchison, J. (1986) The Statistical Analysis of Compositional
Data Monographs on Statistics and Applied Probability. Chapman &
Hall Ltd., London (UK). 416p.
Mateu-Figueras, G.; Pawlowsky-Glahn, V. (2005). The Dirichlet distribution
with respect to the Aitchison measure on the simplex, a first approach.
In: Mateu-Figueras, G. and Barcel\'o-Vidal, C. (Eds.)
Proceedings of the 2nd International Workshop on Compositional Data Analysis,
Universitat de Girona, ISBN 84-8458-222-1, http://ima.udg.es/Activitats/CoDaWork05/
tmp <- rDirichlet.acomp(10,alpha=c(A=2,B=0.2,C=0.2)) plot(tmp)
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