Nonlife Actuarial Models: Theory, Methods and Evaluation

Preface Notation and convention Part I. Loss Models: 1. Claim-frequency distribution 2. Claim-severity distribution 3. Aggregate-loss models Part II. Risk and Ruin: 4. Risk measures 5. Ruin theory Part III. Credibility: 6. Classical credibility 7. Buhlmann credibility 8. Bayesian approach 9. Empirical implementation of credibility Part IV. Model Construction and Evaluation: 10. Model estimation and types of data 11. Nonparametric model estimation 12. Parametric model estimation 13. Model evaluation and selection 14. Basic Monte Carlo methods 15. Applications of Monte Carlo methods Appendix. Review of statistics Answers to exercises References Index.