by Yuliya Mishura (Author), Olena Ragulina (Contributor)
Ruin Probabilities: Smoothness, Bounds, Supermartingale Approach deals with continuous-time risk models and covers several aspects of risk theory. The first of them is the smoothness of the survival probabilities. In particular, the book provides a detailed investigation of the continuity and differentiability of the infinite-horizon and finite-horizon survival probabilities for different risk models. Next, it gives some possible applications of the results concerning the smoothness of the survival probabilities. Additionally, the book introduces the supermartingale approach, which generalizes the martingale one introduced by Gerber, to get upper exponential bounds for the infinite-horizon ruin probabilities in some generalizations of the classical risk model with risky investments.
Format: Hardcover
Pages: 276
Publisher: ISTEPELS
Published: 12 Oct 2016
ISBN 10: 1785482181
ISBN 13: 9781785482182
Book Overview: Presents different continuous-time risk models for this branch of insurance mathematics