In this paper, we discuss a generalization of the collective risk model and of Panjer's recursion. The model we consider consists of several business lines with dependent claim numbers. The distributions of the claim numbers are assumed to be Poisson mixture distributions. We let the claim...

This paper considers the risk model perturbed by a diffusion process with a time delay in the arrival of the first two claims and takes into account dependence between claim amounts and the claim inter-occurrence times. Assuming that the time arrival of the first claim follows a generalized...

In actuarial practice, the mixture model is one widely applied statistical method to model the insurance loss data. Although the Expectation-Maximization (EM) algorithm usually plays an essential tool for the parameter estimation of mixture models, it suffers from other issues which cause...

We formulate a decision model that accommodates correlation ambiguity between the insurer’s surplus and stock return processes and study its implications for the insurer’s asset allocation rule. The ambiguity-averse insurer invests more conservatively in the stock compared to an otherwise...