Nonhomogenous Poisson processes based on beta-mixtures in software reliability models

This paper deals with the software reliability model based on a nonhomogenous Poisson process. We introduce a new family of mean value functions which can be either NHPP-I of NHPP-Pi according to the choice of the distribution function. The proposed mean value function is motivates by the fact that a strictly monotone increasing function can be modeled by a distribution function and that an unknown distribution function can be also approximated by a mixture of beta distributions. Many existing mean value functions can be regards as special cases of the proposed mean value functions. The maximum likelihood approach is used to estimate the parameters contained in the proposed model.