After careful examination of the fundamental mechanics of software failure process, the authors suggested that the random factors in software failure process are too complex to be completely modeled on a single conventional stochastic process model. The generally used Markov or Non Homogeneous Poison Process can partly explain the failure behavior only. To completely explain, a complementary stochastic process is needed. That is to say, two stochastic functions were suggested for modeling the failure behavior of software,hence the name of the model.This thesis presented the work on building such a model.