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. 2016 Aug 18;16(8):1310. doi: 10.3390/s16081310

Table 1.

Classification of detection events and rates.

Definition Calculation
Event
Number of Events Total number of events both fire and non-fire Ntotal=Nfire+Nnonfire=(Nhit+Nmiss)+(NFA+NCR)
Hit/True Positive Fire that is detected Nhit = total number of actual fires detected
Miss/False Negative Fire that is not detected Nmiss= NfireNhit
False Alarm/False Positive Non-fire event that is (incorrectly) detected NFA = total number of non-fire events detected
Correct Rejection/True Negative Non-fire event that is (correctly) not detected NCR= NnonfireNFA
Rate
False Alarm Rate Proportion of non-fire events (incorrectly) detected RFA=NFANnonfire
Hit Rate or Sensitivity Proportion of actual fire events that are detected Rhit=NhitNfire
Miss Rate Proportion of actual fire events that are not detected Rmiss=NmissNfire=NfireNhitNfire
Correct Rejection Rate or Specificity Proportion of non-fire events that are (correctly) not detected Specificity=NCRNnonfire=NnonfireNFANnonfire
Precision Proportion of detected events that are actually fires Precision=NhitNhit+NFA