The Backward Simulation (BS) approach was developed to generate, simply and efficiently, sample paths of correlated multivariate Poisson process with negative correlation coefficients between their components. In this paper, we extend the BS approach to model multivariate Mixed Poisson processes which have many important applications in Insurance, Finance, Geophysics and many other areas of Applied Probability. We also extend the Forward Continuation approach, introduced in our earlier work, to multivariate Mixed Poisson processes.
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