Recently, new classes of positive and measurable functions, M(ρ) and M(±∞), have been defined in terms of their asymptotic behaviour at infinity, when normalized by a logarithm (Cadena et al., 2015, 2016, 2017). Looking for other suitable normalizing functions than logarithm seems quite...

In this paper, we develop a statistical approach to explore empirically the dependence between risks in the extremes. We apply it to study the dependence between mortality and market risks. With data for 6 developed countries, extending over 80 years, we pick the worst 10 years of mortality and...

In this paper, we review the concept of risk, its evolution in history and the big changes we experienced in the last 50 years. We conclude that peak risks are growing and the need for risk management is becoming a societal demand. Two phenomena are identified to render risks more complex,...

One possible way of risk management for an insurance company is to develop an early and appropriate alarm system before the possible ruin. The ruin is defined through the status of the aggregate risk process, which in turn is determined by premium accumulation as well as claim settlement outgo...

One possible way of risk management for an insurance company is to develop an early and appropriate alarm system before the possible ruin. The ruin is defined through the status of the aggregate risk process, which in turn is determined by premium accumulation as well as claim settlement out-go...

One possible way of risk management for an insurance company is to develop an early and appropriate alarm system before the possible ruin. The ruin is de ned through the status of the aggregate risk process, which in turn is determined by premium accumulation as well as claim settlement out-go...

When a random field (Xt; t 2 R2) is thresholded on a given level u, the excursion set is given by its indicator 1[u;1)(Xt). The purpose of this work is to study functionals (as established in stochastic geometry) of these random excursion sets, as e.g. the capacity functional as well as the...