Nonlife Actuarial Models

Yiu-Kuen Tse is an Emeritus Professor with the Singapore Management University. He has been a Fellow of the Society of Actuaries since 1993. He has published extensively in the areas of financial data analysis and financial risk management, including the book Financial Mathematics for Actuaries (third edition, 2021) which he co-authored with Wai-Sum Chan.

• 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. Bühlmann 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; Part V. Loss reserving and ratemaking: 16. Loss reserving; 17. Ratemaking; Appendix: review of statistics; Answers to Exercises; References; Index.

'This book covers the body of knowledge required by the Society of Actuaries (SOA) for its Fundamentals of Actuarial Mathematics Exam (Sections for short-term coverages) starting from 2023. I believe that it is an ideal textbook for a semester course on the introduction of short-term actuarial mathematics. It is also useful for self-study candidates preparing for the actuarial professional exams.' Wai-Sum Chan, Ph.D., FSA, HonFIA, CERA Dean, School of Decision Sciences, The Hang Seng University of Hong Kong