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

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illustrates the contour plot <strong>of</strong> the independent, the common and the restricted covariance<br />

<strong>hidden</strong> Markov <strong>models</strong>, which visualized the pattern <strong>of</strong> the weed distributions.<br />

Comparing Figure 6.14 and Figure 6.15 it can be seen that there were similarities in the<br />

weed distributions from the finite mixture model allocation and the <strong>hidden</strong> Markov<br />

model allocation <strong>for</strong> the three covariance structures. For the restricted covariance<br />

model, the allocation <strong>of</strong> observations to the clusters or states was very similar <strong>for</strong> both<br />

<strong>models</strong>. But <strong>for</strong> the independent and the common covariance structures the allocation <strong>of</strong><br />

some <strong>of</strong> the observations to clusters or states was not the same.<br />

The choice <strong>of</strong> a best model is still questionable. In the next chapter, properties <strong>of</strong> the<br />

finite mixture <strong>models</strong> and a criterion <strong>for</strong> goodness <strong>of</strong> fit index are discussed.<br />

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