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Generating multivariate Poisson data is essential in many applications.Current simulation methods suffer from limitations ranging from computationalcomplexity to restrictions on the structure of the correlation matrix. Wepropose a computationally efficient and conceptually appealing method forgenerating multivariate Poisson data. The method is based on simulatingmultivariate Normal data and converting them to achieve a specific correlationmatrix and Poisson rate vector. This allows for generating data that havepositive or negative correlations as well as different rates.

An Elegant Method for Generating Multivariate Poisson Random Variable