In this paper, the exact form of Fisher information matrix for the Feller-Pareto (FP) distribution is determined. The FP family is a very general unimodal distribution which includes a variety of distributions as special cases. For example: - A hierarchy of Pareto models: Pareto (I), Pareto...

Due to advances in extreme value theory, the generalized Pareto distribution (GPD) emerged as a natural family for modeling exceedances over a high threshold. Its importance in applications (e.g., insurance, finance, economics, engineering and numerous other fields) can hardly be overstated...

In actuarial practice, regression models serve as a popular statistical tool for analyzing insurance data and tariff ratemaking. In this paper, we consider classical credibility models that can be embedded within the framework of mixed linear models. For inference about fixed effects and...