Performance in a multi-classification system having multiple component classifiers can be based on a combination of the true positive rate (TPR) and false positive rate (FPR) of the component classifiers. Each component classifier can be configured with a decision threshold, and its TPR and FPR determined from a training set presented to the component classifier so configured. A system TPR and system FPR can be determined from the component TPRs and FPRs. A set of system TPRs and FPRs can be determined from additional sets of decision thresholds.