We study generalized linear models for time series of counts, where serial dependence is introduced through a dependent latent process in the link function. Conditional on the covariates and the latent process, the observation is modelled by a negative binomial distribution. To estimate the regression coefficients, we maximize the pseudolikelihood that is based on a generalized linear model wit...

A three-parameter discrete distribution is developed to describe the multiplicity distributions observed in totaland limited phase space volumes in different collision processes. The probability law is obtained by the Poisson transform of the KNO scaling function derived in Polyakov’s similarity hypothesis for strong interactions as well as in perturbative QCD, ψ(z) ∝ zα exp(−zμ). Various chara...

One of the premium determination techniques is to use credibility theory. In this study, a model was derived with best accuracy approach in form Bühlmann’s premium. The claim data assumed have Negative Binomial and 2-Poisson distribution. Bühlmann's formula given explicitly for these two distributions. obtained also applied correct following From simulation results, it that values are very clos...