Bayesian combining of confidence measures is proposed for speech recognition. Centralized and distributed schemes are considered for confidence measure combining under Bayesian framework. Centralized combining is feature level fusion which combines the values of individual confidence scores and makes a final decision. In contrast, distributed combining is decision level fusion which combines the individual decision makings made by each individual confidence scoring method. Both methods are basically based on the statistical modeling of confidence features. In addition, adaptation of confidence score using the statistical models also presented. The proposed methods reduced the classification error rate by 17% from conventional single feature based confidence scoring method in isolated word Out-of-Vocabulary rejection test.