Micro‐level reserving for general insurance claims using a long short‐term memory network

Stochastic Claims Reserving in General Insurance

This paper considers a wide range of stochastic reserving models for use in general insurance, beginning with stochastic models which reproduce the traditional chain-ladder reserve estimates. The models are extended to consider parametric curves and smoothing models for the shape of the development run-off, which allow extrapolation for the estimation of tail factors. The Bornhuetter-Ferguson t...

Claims Reserving Using Tweedie’s Compound Poisson Model

We consider the problem of claims reserving and estimating run-off triangles. We generalize the gamma cell distributions model which leads to Tweedie’s compound Poisson model. Choosing a suitable parametrization, we estimate the parameters of our model within the framework of generalized linear models (see Jørgensen-de Souza [2] and Smyth-Jørgensen [8]). We show that these methods lead to reaso...

A copula based Bayesian approach for paid–incurred claims models for non-life insurance reserving

Our article considers the class of recently developed stochastic models that combine claims payments and incurred losses information into a coherent reserving methodology. In particular, we develop a family of hierarchical Bayesian paid–incurred claims models, combining the claims reserving models of Hertig (1985) and Gogol (1993). In the process we extend the independent log-normal model of Me...

Recent Development in Claims Reserving

This contribution deals with recent development in the field of mathematical loss reserving via Chain Ladder that is regarded as the most popular method for setting technical reserves in non life insurance. It could be formulated deterministically or via a stochastic model. However there are some drawbacks of using this method automatically that will be discussed. Its generalisation Munich Chai...

A Simulation Procedure for Comparing Different Claims Reserving Methods