Actuaries working in claims reserving are often faced, among others, with the following two tasks: the prediction of future outstanding loss liabilities, as well as the quantification of their risk. Within claims reserving there exist various methods in which vagueness and subjective judgement is often not considered. A formal approach is given e.g. by fuzzy set theory.Besides an overview of applications of fuzzy set theory in claims reserving the author presents three ways of how subjective assessment can be implemented in the chain-ladder as well as the Bornhuetter Ferguson method.
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Print ISBN
9783736995970
Edition
1Table of contents
- Acknowledgements
- Contents
- List of Figures
- List of Tables
- List of Symbols
- List of Abbreviations
- 1 | Introduction
- 2 | Fuzzy Theory
- 3 | Applications of Fuzzy Theory in Insurance
- 4 | Methods of Claims Reserving
- 5 | The Fuzzy Chain-Ladder Model – An Approach with Fuzzy Numbers
- 6 | Another Fuzzy Chain-Ladder Model –An Application of Fuzzy Regression Techniques
- 7 | The Fuzzy Bornhuetter Ferguson Method
- 8 | Conclusion
- A | Statistical Basics
- Zusammenfassung
- Summary
- Bibliography