Bretó, Carles - In: Statistics & Probability Letters 82 (2012) 4, pp. 720-725
We provide a multivariate extension of a recent result for univariate Markov counting processes: necessity and sufficiency of compoundness for infinitesimal over-dispersion. As an illustration, we show that infinitesimally over-dispersed epidemiological SIR-type compartment models must rely on...