This conditional expected cost of misclassifying an event belonging to 7Ti occurs with prior probability p\ (the probability of 7rj). The conditional overall expected cost of misclassification is computed by multiplying each ECM with its prior probability and summing over all classes
Determination of the optimal classification procedure becomes selection of mutually exclusive and exhaustive classification regions Ri,R2, - ■ ■ ,Rg such that the ECM in Eq. (8.11) is minimized . The classification regions that minimize Eq. (8.11) are defined by allocating y to that population 7Tk, k = 1, • • • , g for which
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