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The ruin probabilities of a multidimensional perturbed risk model

Tatjana Slijepčević-Manger ; Faculty of Civil Engineering, University of Zagreb, Croatia


Puni tekst: engleski pdf 324 Kb

str. 231-239

preuzimanja: 640

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Sažetak

In this paper we consider the ruin probabilities of a multidimensional insurance risk model perturbed by Brownian motion. A Lundberg-type upper bound is derived for the innite-time ruin probability when claims are light-tailed. The proof is based on the theory of martingales. An explicit asymptotic estimate is obtained for the nite-time ruin probability in the heavy-tailed claims case.

Ključne riječi

multidimensional risk model; martingale; Poisson process; ruin probability

Hrčak ID:

101459

URI

https://hrcak.srce.hr/101459

Datum izdavanja:

10.5.2013.

Posjeta: 1.322 *