Generalized Dirichlet functions

Random deviates of the Generalized Dirichlet distribution.

dGenDirichlet(x, p, k)

dGenDirichletStd(x, a, b)

rGenDirichlet(n, p, k)

qGenDirichlet(X, p, k)

Arguments

x

number of observations. If length(n) > 1, the length is taken to be the number required.
p, k

The Generalized Dirichlet normalized parameters. The Dirichlet parameters may contain zeros if the branch to which a parameter is referring is not allowed. k * p = alpha
a, b

The Generalized Dirichlet standard parameters
n

the number of samples
X

a matrix of quantiles

Value

rGenDirichlet generates random deviates and dGenDirichlet generates densities

Examples

rGenDirichlet(10, c(4,3,2)/9, c(2, 2, 2))
#>             [,1]       [,2]         [,3]
#>  [1,] 0.78225316 0.10892171 0.1088251383
#>  [2,] 0.95601488 0.04333160 0.0006535163
#>  [3,] 0.24127619 0.39717727 0.3615465341
#>  [4,] 0.02171758 0.56504908 0.4132333410
#>  [5,] 0.21355443 0.13483825 0.6516073214
#>  [6,] 0.10582670 0.69385195 0.2003213572
#>  [7,] 0.39135293 0.39755735 0.2110897170
#>  [8,] 0.85988984 0.08829460 0.0518155656
#>  [9,] 0.67696004 0.29278479 0.0302551750
#> [10,] 0.73608850 0.05960733 0.2043041728