Multivariate t random values simulation on the simplex {Compositional} R Documentation

## 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 mtsagris@uoc.gr.

### References

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

```comp.den, rdiri, rcompnorm, rmvt ```

### 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)
```

[Package Compositional version 5.2 Index]