ClusterCategorical-class: Definition of the ['>ClusterCategorical] class
Description
This class defines a categorical mixture model. It inherits from the
['>IClusterModel] class. A categorical mixture model is
a mixture model of the form
Arguments
Slots
component
A ['>ClusterCategoricalComponent] with the
probabilities of the categorical component
Details
$$
f({x}|\boldsymbol{\theta}) \\
=\sum_{k=1}^K p_k \prod_{j=1}^d \mathcal{M}(x_j;p_{jk},1) \\
\quad {x} \in \{1,\ldots,L\}^d.
$$
The probabilities can be assumed equal between all variables in order to
reduce the number of parameters.