Multivariate t random values simulation on the simplex {Compositional}

Multivariate t random values simulation on the simplex

Description

Multivariate t random values simulation on the simplex.

Usage

rcompt(n, m, s, dof, type = "alr")

Arguments

n

The sample size, a numerical value.

m

The mean vector in R^d.

s

The covariance matrix in R^d.

dof

The degrees of freedom.

type

The alr (type = "alr") or the ilr (type = "ilr") is to be used for closing the Euclidean data onto the simplex.

Details

The algorithm is straightforward, generate random values from a multivariate t distribution in R^d and brings the values to the simplex S^d using the inverse of a log-ratio transformation.

Value

A matrix with the simulated data.

Author(s)

Michail Tsagris.

R implementation and documentation: Michail Tsagris [e-mail].

References

Aitchison J. (1986). The statistical analysis of compositional data. Chapman & Hall.

See Also

comp.den, rdiri, rcompnorm

Examples

x <- as.matrix(iris[, 1:2])
m <- Rfast::colmeans(x)
s <- var(x)
y <- rcompt(100, m, s, 10)
comp.den(y, dist = "t")
ternary(y)