Nonlife Actuarial Models

ISBN-13: 9781009315074 / Twarda / 2023 / 560 str.

Yiu-Kuen (Singapore Management University) Tse

Opis

An updated edition of the invaluable textbook on the concepts and practical application of nonlife actuarial models.

Recenzje

'I taught a statistical modeling course with applications in Actuarial Science. I use this book because it strikes a fine balance for readers who are preparing for Exam C of the Society of Actuaries and for readers who want to pick up skills in statistical modeling. Professor Tse is commended for expertly packing and streamlining a lot of materials (theory, methods, and empirical implementation) of nonlife actuarial models into this book. A welcome change of the second edition is the adoption of R as the computation tool.' Kwok Pui Choi, National University of Singapore

Spis treści

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.