When calculating the risk margins of a company with multiple Lines of Business–typically, a quantile in the right tail of an aggregate loss, assumptions about the dependence structure between the different Lines are crucial. Many current multivariate reserving methodologies focus on aggregated...

Ausgewählte DEA-Modelle: CCR-Modell und BCC-Modell -- Stochastische Effizienzkonzepte -- Entwicklung einer stochastischen Dienstleistungsaktivität -- DEA-Technologiemengen für stochastische Produktionen -- Chance-Constrained Technologiemenge.

Using positive semidefinite supOU (superposition of Ornstein-Uhlenbeck type) processes to describe the volatility, we introduce a multivariate stochastic volatility model for financial data which is capable of modelling long range dependence effects. The finiteness of moments and the second...

We introduce a multivariate Hawkes process with constraints on its conditional density. It is a multivariate point process with conditional intensity similar to that of a multivariate Hawkes process but certain events are forbidden with respect to boundary conditions on a multidimensional...

The asset allocation is a practical problem for most institutional and private investors, who routinely deal with a wide variety of stocks, bonds and options. Evidence suggests that both the expected return and the volatility vary over time. Many studies find that the expected returns have...

In this article we deal with three types of multivariate first-order stochastic dominance which serve for comparing random vectors. The first one is the strongest and it is generated by all non-decreasing multivariate utility functions. The second one, called weak multivariate stochastic...

DIE METHODISCHE GRUNDLEGUNG -- AUSGANGSBASIS: DIE BESTEHENDE ZINSSTRUKTURKURVE -- DIE ÄLTEREN THEORIEN ZUR ZINSSTRUKTUR -- DIE GRUNDMODELLE DER ZINSSTRUKTUR -- DIE DETERMINISTISCHEN FAKTOREN ZUR ZINSSTRUKTUR -- DIE SUBSTITUTIVEN ARBITRAGEPROZESSE ZUR ZINSSTRUKTUR -- DIE STOCHASTISCHEN...