EBEGİL, Meral Gazi Üniversitesi - Fen Fakültesi - İstatistik Bölümü, Turkey , GÖKPINAR, Fikri Gazi Üniversitesi - Fen Fakültesi - İstatistik Bölümü, Turkey

Modelling of Premium Estimations in the Bühlmann-Straub Credibility and Mixed Effects Models under Pareto Distribution

25280

In this study, it was examined the relations between the Bühlmann-Straub credibility model and the random effects model for the one-way classification which is a special form of the mixed effects model. Poisson and Pareto distributions are used to model insured numbers and the amount of claims, respectively. Premium estimations of the amount of claims modeling for Bühlmann-Straub credibility and the random effect models are compared by simulation study. Although the compliance rates of these two models are quite high in most of the considered situation, these compliance rates decrease in some of the situations.

191

Bayesian Statistics , Credibility Models , Mixed Effects Model , Pareto Distribution , Poisson Distribution

Journal Of Natural an‎d Applied Sciences

203