Density of the Flexible Dirichlet distribution {Compositional}

Density of the Flexible Dirichlet distribution

Description

Density of the Flexible Dirichlet distribution

Usage

dfd(x, alpha, prob, tau)

Arguments

x

A vector or a matrix with compositional data.

alpha

A vector of the non-negative \alpha parameters.

prob

A vector of the clusters' probabilities. It must sum to one.

tau

The non-negative scalar tau parameter.

Details

For more information see the references.

Value

The density value(s).

Author(s)

Michail Tsagris ported from the R package FlexDir. [e-mail].

References

Ongaro A. and Migliorati S. (2013). A generalization of the Dirichlet distribution. Journal of Multivariate Analysis, 114, 412–426.

Migliorati S., Ongaro A. and Monti G. S. (2017). A structured Dirichlet mixture model for compositional data: inferential and applicative issues. Statistics and Computing, 27, 963–983.

See Also

fd.est, rfd

Examples

alpha <- c(12, 11, 10)
prob <- c(0.25, 0.25, 0.5)
tau <- 8
x <- rfd(20, alpha, prob, tau)
dfd(x, alpha, prob, tau)