This paper considers a mixed Poisson process with Pareto mixing variable, Exp-Pareto, and Erlang-Pareto distributions. New important properties of these distributions are derived.Approximations of the random time transformed ...

In this paper the influence measures for the Negative Binomial regression model are presented. Based on the conditional expectation of the complete-data log-likelihood function we derive some influence measures, such as ...

The equilibrium properties of a charged plane immersed in an aqueous electrolyte solution are examined using a generalized Poisson–Boltzmann equation that takes into account the finite ion size by modeling the solution as ...

The sum of a random number of random variables, besides being interesting from a probabilistic point of view, appears in applications involving processes that evolve over time. An important and widely studied example is ...

We study a Newtonian model, that allows us to describe some phenomena in stellar dynamics. This model is described by a partial differential equation known as the Vlasov equation or the Liouville equation, whose solutions ...

In this study, we deal with the problem of overdispersion beyond extra zeros for a collection of counts that can be correlated. Poisson, negative binomial, zero-inflated Poisson and zero-inflated negative binomial distributions ...

In this study, we deal with the problem of overdispersion beyond extra zeros for a collection of counts that can be correlated. Poisson, negative binomial, zero-inflated Poisson and zero-inflated negative binomial distributions ...