Detection rates for the example case of 3σ signals and a detection threshold set at 2σ. Here, we illustrate the relationship between false positive rate (FPR), false detection rate (FDR), true detection rate (TDR) and true positive rate (TPR or completeness) and how they depend on true and false positives (TP shown in green and FP in red) and true and false negatives (TN shown in gray and FN shown in yellow). The FDR, which determines the telescope time spent following-up bogus detections, should be minimized. The FDR can be quite different from the FPR.
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