FD.generate {FlexDir}

The Flexible Dirichlet Random Generation

Description

Random generation from the Flexible Dirichlet distribution with parameters a, p and t.

Usage

FD.generate(n, a, p, t)

Arguments

n

number of points on the simplex to be generated.

a

vector of the non-negative alpha parameters.

p

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

t

non-negative scalar tau parameter.

Details

Vectors a and p must be of the same length. The Flexible Dirichlet distribution derives from the normalization of a basis of positive dependent random variables obtained by starting from a basis of independent equally scaled gamma random variables, and randomly allocating to the i-th element a further independent gamma random variable.

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. (2016) A structured Dirichlet mixture model for compositional data: inferential and applicative issues. Statistics and Computing, 1–21.

See Also

FD.estimation, FD.density, FD.theorcontours, FD.subcomposition, FD.amalgamation

Examples

n <- 100
alpha <- c(12,7,15)
prob <- c(0.3,0.4,0.3)
tau <- 8
data <- FD.generate(n,alpha,prob,tau)
data