Insurance has become a necessary aspect of modern society. The mathematical basis of insurance modelling is best expressed in terms of continuous time stochastic processes. This introductory text on actuarial risk theory deals with the CramerLundberg model and the renewal risk model. Their basic structure and properties, including the renewal theorems as well as the corresponding ruin problems, are studied. There is a detailed discussion of heavy tailed distributions, which have become increasingly relevant. The Lundberg risk process with investment in risky asset is also considered. This book will be useful to practitioners in the field and to graduate students interested in this important branch of applied probability. A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels. Readership Graduate students and research mathematicians interested in applied probability. Table of Contents  Introduction
 Poisson model
 Renewal model
 Claim size distributions
 Ruin problems
 Lundberg risk process with investment
 Appendix 1. Basic notions
 Appendix 2. On the central limit problem
 Appendix 3. Martingales
 Appendix 4. Brownian motion and Itô integrals
 Bibliography
 Index
