The simulation of correlated multivariate Poisson processes with negative correlation between their components has many important applications in Finance, Insurance, Geophysics, and other areas applied probability. Introduced our earlier work, the Backward Simulation (BS) approach to is able capture a wide range correlation, including extreme positive that not possible approaches such as forwar...

Modelling structured multivariate point process data has wide ranging applications like understanding neural activity, developing faster file access systems and learning dependencies among servers in large networks. In this paper, we develop the Poisson network model for representing multivariate structured Poisson processes. In our model each node of the network represents a Poisson process. T...