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multivariate poisson hidden markov models for analysis of spatial ...

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Figure 6.8 illustrates the optimal value <strong>of</strong> the mixing proportions <strong>for</strong> the entire range <strong>of</strong><br />

<strong>models</strong> used (values <strong>of</strong> k from 2 to 7).<br />

Proportion<br />

1.00<br />

0.90<br />

0.80<br />

0.70<br />

0.60<br />

0.50<br />

0.40<br />

0.30<br />

0.20<br />

0.10<br />

0.00<br />

2 3 4 5 6 7<br />

Number <strong>of</strong> Components -k<br />

Figure 6.8: The mixing proportions <strong>for</strong> model solutions with k =2 to 7 components <strong>for</strong><br />

the restricted covariance <strong>multivariate</strong> Poisson finite mixture model<br />

Again, the graph does not illustrate a stable cluster configuration, i.e. a clustering that<br />

remains relatively stable over the different component solutions. In other words, the<br />

cluster proportions tend to fluctuate. It can be seen that there is one large component<br />

and the rest are small components in all <strong>models</strong>. Table 6.8 contains the parameter<br />

estimates <strong>for</strong> the model with five components.<br />

122

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