This paper addresses the modelling of human mortality by the aid of doubly stochastic processes with an intensity driven by a positive Levy process. We focus on intensities having a mean reverting stochastic component. Furthermore, driving Levy processes are pure jump processes belonging to the class of a-stable subordinators. In this setting, expressions of survival probabilities are inferred, the pricing is discussed and numerical applications to actuarial valuations are proposed. (C) 2008 Published by Elsevier B.V.
Hainaut, D., & Devolder, P. (2008). Mortality modelling with Levy processes. Insurance: Mathematics and Economics, 42(1), 409-418. https://doi.org/10.1016/j.insmatheco.2007.05.007 (Original work published 2008)