clusterGammaNames: Create a vector of gamma mixture model names.

In MixAll: Clustering and Classification using Model-Based Mixture Models

Create a vector of gamma mixture model names.

Description

In a gamma mixture model, we can assume that the shapes are equal in each/all cluster(s) or not. We can also assume that the scales are equal in each/all cluster(s) or not.

Usage

clusterGammaNames(
  prop = "all",
  shapeInCluster = "all",
  shapeBetweenCluster = "all",
  scaleInCluster = "all",
  scaleBetweenCluster = "all"
)

clusterValidGammaNames(names)

Arguments

prop	A character string equal to "equal", "free" or "all". Default is "all".
shapeInCluster	A character string equal to "equal", "free" or "all". Default is "all".
shapeBetweenCluster	A character string equal to "equal", "free" or "all". Default is "all".
scaleInCluster	A character string equal to "equal", "free" or "all". Default is "all".
scaleBetweenCluster	A character string equal to "equal", "free" or "all". Default is "all".
names	a vector of character

Details

Some configuration are impossibles. If the shapes are equal between all the clusters, then the scales cannot be equal between all the clusters. Conversely if the scales are equal between all the cluster, then the shapes cannot be equal between all the clusters.

This gives rise to 24 models:

1. The proportions can be equal or free

2. The shapes can be equal or free in each clusters

3. The shapes can be equal or free between all clusters

4. The scales can be equal or free for each clusters

5. The scales can be equal or free between all clusters

The model names are summarized in the following array:

& ajk & ak & aj & a

bjk & gamma_*_ajk_bjk & gamma_*_ak_bjk & gamma_*_aj_bjk & gamma_*_a_bjk

bk & gamma_*_ajk_bk & gamma_*_ak_bk & gamma_*_aj_bk & gamma_*_a_bk

bj & gamma_*_ajk_bj & gamma_*_ak_bj & NA & NA

b & gamma_*_ajk_b & gamma_*_ak_b & NA & NA

Value

A vector of character with the model names.

Examples

clusterGammaNames()
## same as c("gamma_p_ak_bj", "gamma_pk_ak_bj")
clusterGammaNames("all", "equal", "free", "free", "equal")

MixAll documentation built on June 22, 2024, 6:56 p.m.