Fig. 9

The decision regions computed according to (2.7) for three classes of normally distributed points depicted using different colors in the same image. The average of each class is plotted as a large disk. The first row shows three different realization of the same three normal distributions and the computed decision regions. The first image in the second row is based on the same distributions as the first row but the sample size is increased, the second and third show the decision regions for different choices of means and covariance matrices. In all but the last example the covariance is taken to be diagonal. In the third and the last image, one of the sample points is outside the computational box where the data signals are generated and hence generated an unshaded region