A Simple Estimation of Parameters for Discrete Distributions from the Schröter Family

Friday I. Agu, Ján Mačutek, Gábor Szűcs
Statistika, 103(2): 246-251
https://doi.org/10.54694/stat.2022.42

Abstract
One of the common challenges in actuarial mathematics is finding a model for the number of claims and claim severity. We focus on one of the suggested models, namely, on the Schröter family of discrete probability distributions. Furthermore, we introduce a simple and easy-to-compute parameter estimate for this family of distributions, which can be used especially as initial values in optimization algorithms that are needed to compute other estimates.