According to the literature, a particular
example of this class is the negative binomial distribution which consists of simple and
efficient techniques that oversee the limits of the Poisson distribution and offer results
qualitatively similar. In the statistical literature there are presented many ways to construct
the negative binomial distribution, however the most used are the NB1 and NB2 forms,
introduced by Cameron and Trivedi (1998). Among the recent studies, Denuit et al. (2007)
give a comprehensive image concerning the mixed Poisson models and they highlight that
negative binomial distribution is a satisfactory alternative to Poisson distribution in order to