On a unified theory of some nonhomogeneous Poisson process models for software reliability

We show how several existing software reliability growth models based on nonhomogeneous Poisson processes (NHPPs) can be comprehensively derived by applying the concept of the weighted arithmetic, weighted geometric, or weighted harmonic mean. Furthermore, based on these three weighted means, we thus propose a more general NHPP model from the viewpoint of quasi-arithmetic mean. Under this general framework, we can not only derive some existing NHPP models but also can derive some new NHPP models.