Poisson generalized gamma process and its properties

Although the nonhomogeneous Poisson process has been intensively applied in practice, it also its own limitations. In this paper, a new counting model (called Generalized Gamma Process) is developed to overcome limitations of process. Initially, some basic stochastic properties are derived. It will be seen that includes both generalized Pólya and Lindley processes as special cases. The influence parameters on behaviour analysed. increments shown exhibit positive dependence properties. corresponding compound defined studied well.