Abstract
False match rates are an important measure of bioauthentication system performance. The false match rate (FMR) is the rate at which a biometric process mismatches biometric signals from two distinct individuals as coming from the same individual. Statistical methods for that rate are the focus of this chapter. We begin with an introduction to false match rates and the notation that we’ll use throughout this chapter. That is followed by a section on the correlation structure for the two-instance false match rate. In that section, we also discuss estimation of parameters in the general correlation structure as well as some simplifications of that general correlation structure. Section 4.2 contains a description of the two-instance bootstrap for estimation on an FNMR. The two-instance bootstrap is a new methodology for estimation of the sampling variability in an FNMR. We then turn to statistical methods for a single FNMR as well as for multiple FNMR’s. Large sample as well as bootstrap and randomization approaches to confidence intervals and hypothesis tests are given. This is followed by a section on sample size and power calculations for an FNMR. Prediction intervals for the FNMR are the focus on the next section. Lastly, we provide a brief discussion of the statistical methods for the FNMR in this chapters.
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References
Bistarelli, S., Santini, F., Vaccarelli, A.: An asymmetric fingerprint matching algorithm for java cardTM. In: Kanade, T., Jain, A., Ratha, N.K. (eds.) Proceedings of Audio- and Video-based Biometric Person Authentication 2005 (AVBPA2005). Lecture Notes in Computer Science, vol. 3546, pp. 279–288. Springer, Berlin (2005)
Dietz, Z., Schuckers, M.E.: Technical report: A proof of a central limit theorem for false match rates (2009). http://academics.hamilton.edu/mathematics/zdietz/Research/Schuckers/IEEE/CLM-repeated.pdf
Hall, P.: On the bootstrap and confidence intervals. The Annals of Statistics 14, 1431–1452 (1986)
Lahiri, S.N.: Resampling Methods for Dependent Data. Springer, Berlin (2003)
Mansfield, T., Wayman, J.L.: Best practices in testing and reporting performance of biometric devices. www.cesg.gov.uk/site/ast/biometrics/media/BestPractice.pdf (2002)
Poh, N., Martin, A., Bengio, S.: Performance generalization in biometric authentication using joint user-specific and sample bootstraps. IEEE Transactions on Pattern Analysis and Machine Intelligence (2007)
Schuckers, M.E.: Using the beta-binomial distribution to assess performance of a biometric identification device. International Journal of Image and Graphics 3(3), 523–529 (2003)
Schuckers, M.E.: A parametric correlation framework for the statistical evaluation and estimation of biometric-based classification performance in a single environment. IEEE Transactions on Information Forensics and Security 4, 231–241 (2009)
Wu, J.C.: Studies of operational measurement of ROC curve on large fingerprint data sets using two-sample bootstrap. Tech. Rep. NISTIR 7449, National Institute of Standards and Technology (2007)
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Schuckers, M.E. (2010). False Match Rate. In: Computational Methods in Biometric Authentication. Information Science and Statistics. Springer, London. https://doi.org/10.1007/978-1-84996-202-5_4
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DOI: https://doi.org/10.1007/978-1-84996-202-5_4
Publisher Name: Springer, London
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