FD.theorcontours: Contour Lines of a Flexible Dirichlet
In FlexDir: Tools to Work with the Flexible Dirichlet Distribution

Description Usage Arguments Details References See Also Examples

Contour lines of a Flexible Dirichlet with given parameters on the ternary diagram or on the right triangle.

1 2	FD.theorcontours(a, p, t, type = "ternary", var = c(1, 2), zoomed = T, showgrid = T, nlevels = 10)

`a`	vector of the non-negative alpha parameters.
`p`	vector of the clusters' probabilities. It must sum to one.
`t`	non-negative scalar tau parameter.
`type`	string indicating whether to plot the contour lines on a ternary diagram `'ternary'`, or on a right triangle plot `'right'`.
`var`	numeric vector containing the two variables to be plotted on the axis. Used only if `type='right'`.
`zoomed`	if `TRUE`, shows only the area where most of the density is concentrated. If `FALSE`, shows the whole area.
`showgrid`	if `TRUE`, shows the axis and the labels. If `FALSE`, only the graph is printed.
`nlevels`	approximate number of contour lines to be drawn.

The number of variables in the Flexible Dirichlet must be 3 to draw a plot. Vectors a and p must be of the same length.

Ongaro, A. and Migliorati, S. (2013) A generalization of the Dirichlet distribution. Journal of Multivariate Analysis, 114, 412–426.

Migliorati, S., Ongaro, A. and Monti, G. S. (2016) A structured Dirichlet mixture model for compositional data: inferential and applicative issues. Statistics and Computing, doi:10.1007/s11222-016-9665-y.

FD.generate, FD.density

alpha <- c(12,7,15)
prob <- c(0.3,0.4,0.3)
tau <- 8
FD.theorcontours(alpha,prob,tau)
FD.theorcontours(alpha,prob,tau, type='right', var=c(3,2), zoomed=FALSE, showgrid=TRUE, nlevels=3)