Reinsurance is one of the tools that an insurer can use to mitigate the underwriting risk and then to control its solvency. In this paper, we focus on the proportional reinsurance arrangements and we examine several optimization and decision problems of the insurer with respect to the...

Black-box optimization problems (BBOP) are dened as those optimization problems in which the objective function does not have an algebraic expression, but it is the output of a system (usually a computer program). This paper is focussed on BBOPs that arise in the eld of insurance, and more...

The stop-loss reinsurance is one of the most important reinsurance contracts in the insurance market. From the insurer point of view, it presents an interesting property: it is optimal if the criterion of minimizing the variance of the cost of the insurer is used. The aim of the paper is to...

In this paper we analyze the time of ruin in a risk process with the interclaim times being Erlang(n) distributed and a constant dividend barrier. We obtain an integro-differential equation for the Laplace Transform of the time of ruin. Explicit solutions for the moments of the time of ruin are...

In this paper we introduce different kinds of dividend barriers in the classical model ruin theory. We study the influence of barrier strategy on ruin probability. A method based on renewal equations [Grandell (1991)], alternative to differential argument [Gerber (1975)], is used to get the...

Distance-based regression is a prediction method consisting of two steps: from distances between observations we obtain latent variables which, in turn, are the regressors in an ordinary least squares linear model. Distances are computed from actually observed predictors by means of a suitable...

In this paper it is illustrated, in a practical way, the use of three tools that permit the actuary to define tariff groups and to estimate risk premiums in the class-rating process for non-life insurance. The first is the segmentation analysis (CHAID and XAID) used firstly at 1997 by UNESPA in...

The process of free reserves in a non-life insurance portfolio as defined in the classical model of risk theory is modified by the introduction of dividend policies that set maximum levels for the accumulation of reserves. The first part of the work formulates the quantification of the dividend...