Minimized Kullback-Leibler divergence between Dirichlet and logistic normal {Compositional}

Minimized Kullback-Leibler divergence between Dirichlet and logistic normal

Description

Minimized Kullback-Leibler divergence between Dirichlet and logistic normal distributions.

Usage

kl.diri.normal(a)

Arguments

a

A vector with the parameters of the Dirichlet parameters.

Details

The function computes the minimized Kullback-Leibler divergence from the Dirichlet distribution to the logistic normal distribution.

Value

The minimized Kullback-Leibler divergence from the Dirichlet distribution to the logistic normal distribution.

Author(s)

Michail Tsagris.

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

References

Aitchison J. (1986). The statistical analysis of compositional data, p. 127. Chapman & Hall.

See Also

diri.nr, diri.contour, rdiri, ddiri, dda, diri.reg

Examples

a <- runif(5, 1, 5)
kl.diri.normal(a)