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. 2010 Dec;17(12):1607–1620. doi: 10.1089/cmb.2010.0117

Table 1.

Parameters for a Baseline Dirichlet Mixture and Its Corresponding Locally Adjusted Mixture

Baseline Mixture Θ
Component i mi Dirichlet parameters αi,j Inline graphic
1 0.30 350 50 100 500
2 0.30 50 300 150 500
3 0.40 10 30 60 100
pj:   0.28 0.33 0.39  
Adjusted Mixture Θ′
Component i Inline graphic Dirichlet parametersInline graphic Inline graphic
1 0.30 360 36 104 500
2 0.30 61 248 191 500
3 0.40 12 7 81 100
Inline graphic   0.30 0.20 0.50  

The Dirichlet parameters for Θ′ are shown rounded to the nearest integer. For realistic applications, the values of α* are typically much smaller. We use large values here only for illustrative purposes, so that the densities of distinct Dirichlet components are visually well separated in Figure 1.