diria0.est: MLE of the Dirichlet distribution assuming a common parameter

In Compositional: Compositional Data Analysis

MLE of the Dirichlet distribution assuming a common parameter

Description

MLE of the Dirichlet distribution assuming a common parameter.

Usage

diria0.est(x, tol = 1e-06)

Arguments

x	A matrix containing compositional data. Zeros are not allowed.
tol	The tolerance level indicating no further increase in the log-likelihood.

Details

Maximum likelihood estimation of the Dirichlet distribution, assuming a common parameter, is performed via Newton-Raphson.

Value

A list including:

iter	The number of iterations required.
loglik	The value of the log-likelihood.
a0	The estimated common parameter.

Author(s)

Michail Tsagris.

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

References

Thomas P. Minka (2003). Estimating a Dirichlet distribution. http://research.microsoft.com/en-us/um/people/minka/papers/dirichlet/minka-dirichlet.pdf

See Also

diri.est, diri.contour rdiri, ddiri, dda

Examples

x <- rdiri( 100, c(5, 5, 5, 5) )
diri.nr(x)
diria0.est(x)

Compositional documentation built on Dec. 4, 2025, 9:07 a.m.