In general, software reliability models have focused on modeling and predicting failure occurrence and have not given equal priority to modeling the fault correction process. However, there is a need for fault correction prediction, because there are important applications that fault correction modeling and prediction support. These are the following: predicting whether reliability goals have been achieved, developing stopping rules for testing, formulating tes strategies, and rationally allocating test resources. Because these factors are related, we integrate them in our model. Our modeling approach involves relating fault correction to failure prediction, with a time delay between failure detection and faul correction, represented by a random variable whose distribution parameters are estimated from observed data.