Compound processes are proposed as models for the acquisition of hydatid cysts in sheep, caused by the parasite Echinococcus granulosus. The hypothesis of a clumped infection process against single ingestions is tested and it is shown that the clump-based approach provides a more accurate description of the two data sets investigated. Models with simple and mixed Poisson incidence processes and...

Oscillatory behavior of cumulant moments obtained from the experimental data in pp collisions and p̄p collisions are analyzed by the modified negative binomial distribution (MNBD) and the negative binomial distribution (NBD). Both distributions well describe the cumulant moments obtained from the data. This fact shows sharp contrast to the result in ee collisions, which is described by the the M...

Tuenter considered centered binomial sums of the form Sr(n) = 2n ∑

A similarity and a difference between bivariate negative binomial distribution geometric is presented. The of the corresponding characteristic function are

In this paper, we discuss a generalization of the classical compound Poisson model with claim sizes following distribution. As applications, consider models involving zero-truncated geometric, negative-binomial and binomial batch-claim arrivals. We also provide some ruin-related quantities under resulting risk models. Finally, through numerical examples, visualize behavior these quantities.

AIM The aim of this study was to compare alternatives methods for analysis of zero inflated count data and compare them with simple count models that are used by researchers frequently for such zero inflated data. BACKGROUND Analysis of viral load and risk factors could predict likelihood of achieving sustain virological response (SVR). This information is useful to protect a person from acqu...