Recent Developments in Mixed Poisson Distributions

Abstract

Mixed Poisson distributions are a class of distributions arising from the Poisson mean fluctuating as a random variable. Mixed Poisson distributions have been applied in diverse disciplines for modelling non-homogeneity in populations. This paper brings together recent work on this class of distributions with focus on specific models, computation and simulation, applications to stochastic and data modelling.

Keywords

• count distributions
• distribution theory
• mixtures
• mixing distributions
• over dispersion
• stochastic modelling