Centro de Documentacion de Fundación MAPFRE - Finite time ruin probabilities for tempered stable insurance risk processes

MAP20130033006

Finite time ruin probabilities for tempered stable insurance risk processes / Philip S. Griffin, Ross A. Maller, Dale Roberts

Sumario: We study the probability of ruin before time t for the family of tempered stable Lévy insurance risk processes, which includes the spectrally positive inverse Gaussian processes. Numerical approximations of the ruin time distribution are derived via the Laplace transform of the asymptotic ruin time distribution, for which we have an explicit expression. These are benchmarked against simulations based on importance sampling using stable processes. Theoretical consequences of the asymptotic formulae indicate that some care is needed in the choice of parameters to avoid exponential growth (in time) of the ruin probabilities in these models. This, in particular, applies to the inverse Gaussian process when the safety loading is less than one

En: Insurance : mathematics and economics. - Oxford : Elsevier, 1990- = ISSN 0167-6687. - 02/09/2013 Volumen 53 Número 2 - septiembre 2013 , p. 478-489

1. Modelos probabílisticos . 2. Modelo Gaussiano . 3. Matemática del seguro . 4. Cálculo actuarial . I. Maller, Ross A. . II. Roberts, Dale . III. Título.