Is the FRR similar to FPR and FAP? Then, if it is similar, why does different definition for each of them?
FRR=(Number of genuine claims)/(Number of genuine accesses)×100%
FPR= (number of false positives) / (number of false positives + number of true negatives)
According to Bolle et al. [1] there is a need to distinguish between i) a biometric matcher ii) a biometric application.
i) Biometric Matcher
1. False Match (FM): Deciding that two biometrics are from the same identity, while in reality they are from different identities, the frequency with which this occurs is called False Match Rate (FMR). Also called type 1 error similar to false positive (FP).
FPR = FP / N = FP / (FP + TN)
2. False Non-Match (FNM): Deciding that two biometrics are not from the same identity, while in reality they are from the same identity, the frequency with which this occurs is called False Non-Match Rate (FNMR). Also called type 2 error similar to false negative (FN).
FNR = FN / (FN + TP)
ii) Biometric application
1. False Accept (FA): Deciding that a (claimed) identity is a legitimate one while in reality it is an imposter. The frequency at which False Accept errors are made is called False Acceptance rate (FAR).
FAR = (NFA / NIA) * 100%
(NFA = Number of False Acceptances, NIA = Number of Imposter Attempts)
2. False Reject (FR): Deciding that a (claimed) identity is a not legitimate one while in reality the person is genuine. The frequency at which False Reject errors are made is called False Acceptance rate (FRR).
FRR = (NFR / NEA) * 100%
(NFR = Number of failed Rejections, NEA = Number of legitimate Access Attempts)
[1] Ruud M. Bolle et al.: "Guide to Biometrics", ISBN: 0-387-40089-3, Springer New York, 2003
I hope that was understandable and helps a bit.
Is it same as miss probability and false alarm probability ? Why do various technique such as FAR, FAP and FPR are available?
False positive is false acceptance; false negative is false rejection. People used them in different papers so there is a set of synonyms that may cause confusion. A table from the "Handbook of Biometric Anti-Spoofing" can stand as a clarification.
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