American Journal of Applied Mathematics and Statistics
ISSN (Print): 2328-7306 ISSN (Online): 2328-7292 Website: Editor-in-chief: Mohamed Seddeek
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American Journal of Applied Mathematics and Statistics. 2022, 10(1), 14-21
DOI: 10.12691/ajams-10-1-3
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Evaluating the Performance of Biometric Identification Systems Using the Beta-binomial Distribution Model

Arnold Kiura Njuki1, , Thomas Mageto1 and Anthony Ngunyi2

1Department of Statistics and Acturial Sciences, Jomo Kenyatta University of Agriculture and Technology, Juja, Kenya

2Department of Statistics and Acturial sciences, Dedan Kimathi University of Technology, Nyeri, Kenya

Pub. Date: March 15, 2022

Cite this paper:
Arnold Kiura Njuki, Thomas Mageto and Anthony Ngunyi. Evaluating the Performance of Biometric Identification Systems Using the Beta-binomial Distribution Model. American Journal of Applied Mathematics and Statistics. 2022; 10(1):14-21. doi: 10.12691/ajams-10-1-3


Biometric authentication system has become a mainstream solution across industries and devices. From securing highly confidential data to unlocking smartphones, biometrics have eliminated the hassle of remembering multiple complex passwords and PINs. It means that nobody can gain access to a device or system without your presence. This paper discusses a method which could be used in the testing process of biometric systems on the side of users and customers. Large –scale biometric systems traditionally undergo a series of tests beyond technology and scenario testing. These large-scale system tests are typically at the system level, not just the biometric subsystem level, and occur multiple times in the life of a system in such forms as factory acceptance tests before shipment, site or system acceptance tests before initiating operations, and in- use tests to ensure that performance remains at acceptable levels and/or to reset thresholds or other technical parameters. The conventional statistical methods use the binomial distribution to estimate the expected number of failure, but in the field of the biometrics the probability parameter can’t be constant which means that it is necessary to describe a process. The results have shown that the probability is characterized with two parameters of the beta distribution, and these are predictable from a smaller sample of the investigated population with the maximum likelihood method.

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