Mixed exponential distributions are frequently used in actuarial risk modeling. Distributions obtained through mixtures allow greater flexibility in the modeling of non-life insurance loss amounts . Several research works have studied mixed exponential distributions in univariate and...

The contribution of this paper is the extension of theoretical and practical applicability in complex systems of a fundamental concept of extreme value theory. More precisely, the paper formulates a stochastic model and establishes the sufficient conditions for evaluating its distribution...

In actuarial science, collective risk models, in which the aggregate claim amount of a portfolio is defined in terms of random sums, play a crucial role. In these models, it is common to assume that the number of claims and their amounts are independent, even if this might not always be the...

We propose a unified framework for equity and credit risk modeling, where the default time is a doubly stochastic random time with intensity driven by an underlying affine factor process. This approach allows for flexible interactions between the defaultable stock price, its stochastic...

In this paper, we investigate dependent risk models in which the dependence structure is defined by an Archimedean copula. Using such a structure with specific marginals, we derive explicit expressions for the pdf of the aggregated risk and other related quantities. The common mixture...

On the basis of portfolio selection theory, this paper finds that whole-farm risk must be regarded as a major reason for the low level of credit flow to agriculture in North-western Kazakhstan. A quadratic programming model was used in order (a) to demonstrate the comparatively high overall risk...

Students' attributes and capabilities are believed to be influenced by many factors including how they are assessed during their studies. The mode of assessment in a student-centred institution is theoretically analysed for the capacitated knowledge in the higher education learning. The normal...

The topics of Economic Capital modelling, reverse stress testing and credit limits are inextricably intertwined as they all focus on exceptional loss events. In this paper, we use the KVA framework in to frame these three topics within a single unified approach. We propose setting credit limits...

This paper proposes a new method to introduce coherent risk measures for risks with infinite expectation, such as those characterized by some Pareto distributions. Extensions of the conditional value at risk, the weighted conditional value at risk and other examples are given. Actuarial...