In this paper, we study the general verification problem from a Bayesian vi
ewpoint. In the Bayesian approach, the verification decision is made by eva
luating Bayes factors against a critical threshold. The calculation of the
Bayes factors in turn requires the computation of several Bayesian predicti
ve densities. As a case study, we apply the method to speaker verification
based on the Gaussian mixture model (GMM). We propose an efficient algorith
m to calculate the Bayes factors for the GMM, where the Viterbi approximati
on is adopted in the computation of joint Bayesian predictive densities. We
evaluate the proposed method for the NIST98 speaker verification evaluatio
n data. Experimental results show that new Bayesian approach achieves moder
ate improvements over a well-trained baseline system using the conventional
likelihood ratio test.