publication . Article . 1997

Stable Lévy motion approximation in collective risk theory

Furrer, H.; Michna, Z.; Aleksander Weron;
  • Published: 01 Jan 1997
Collective risk theory is concerned with random fluctuations of the total net assets, the risk reserve, of an insurance company. In this paper we consider weak approximations in risk theory which are especially relevant whenever the claim experience allows for heavy-tailed claims. We approximate the risk process by an α-stable Levy motion (1 < α < 2) with drift. The ruin probability within a finite time horizon is estimated. Finally, a numerical example is presented.
free text keywords: Finite time, Economics, Risk process, Net asset value, Financial economics, Levy motion, Econometrics, Risk theory, Horizon, Mathematical economics
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