diri_norm: Normalization constants for the Dirichlet and generalized...
In hyperdirichlet: A Generalization of the Dirichlet Distribution

Description Usage Arguments Value Note Author(s) References See Also Examples

Normalization constants for the Dirichlet and generalized Dirichlet distributions using computationally efficient methods

1 2	diri_norm(x) gd_norm(a,b)

`x`	Vector of parameters in the Dirichlet distribution
`a,b`	Vectors of parameters in the generalized Dirichlet distribution

Returns the normalization constant:

omitted: see a LaTeXed file

for the Dirichlet and

omitted: see a LaTeXed file

for the generalized Dirichlet.

The functions make use of the logarithmic form of the gamma and beta functions to avoid overflow

Robin K. S. Hankin

R. J. Connor and J. E. Mosimann 1969. “Concepts of independence for proportions with a generalization of the Dirichlet distribution”. Journal of the American Statistical Association, volume 64, number 325, pp194-206

dhyperdirichlet

1 2	diri_norm(runif(9)) gd_norm(1:3 , 3:1)

Loading required package: aylmer
Loading required package: Brobdingnag

Attaching package: 'Brobdingnag'

The following objects are masked from 'package:base':

    max, min, prod, range, sum

Loading required package: abind
[1] 21.96838
[1] 0.01851852