Insurance Risk and Ruin
Seiten
2010
Cambridge University Press (Verlag)
978-0-521-17675-0 (ISBN)
Cambridge University Press (Verlag)
978-0-521-17675-0 (ISBN)
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The book is ideal for a first course in insurance risk theory. It focuses on major areas in this subject - aggregate claims distributions, ruin theory, utility theory, premium calculation principles and reinsurance problems. Numerous worked examples are included and each chapter has exercises for which outline solutions are provided.
Based on the author's experience of teaching final-year actuarial students in Britain and Australia, and suitable for a first course in insurance risk theory, this book focuses on the two major areas of risk theory - aggregate claims distributions and ruin theory. For aggregate claims distributions, detailed descriptions are given of recursive techniques that can be used in the individual and collective risk models. For the collective model, different classes of counting distribution are discussed, and recursion schemes for probability functions and moments presented. For the individual model, the three most commonly applied techniques are discussed and illustrated. Care has been taken to make the book accessible to readers who have a solid understanding of the basic tools of probability theory. Numerous worked examples are included in the text and each chapter concludes with exercises, which have answers in the book and full solutions available for instructors from www.cambridge.org/9780521846400.
Based on the author's experience of teaching final-year actuarial students in Britain and Australia, and suitable for a first course in insurance risk theory, this book focuses on the two major areas of risk theory - aggregate claims distributions and ruin theory. For aggregate claims distributions, detailed descriptions are given of recursive techniques that can be used in the individual and collective risk models. For the collective model, different classes of counting distribution are discussed, and recursion schemes for probability functions and moments presented. For the individual model, the three most commonly applied techniques are discussed and illustrated. Care has been taken to make the book accessible to readers who have a solid understanding of the basic tools of probability theory. Numerous worked examples are included in the text and each chapter concludes with exercises, which have answers in the book and full solutions available for instructors from www.cambridge.org/9780521846400.
David C. M. Dickson is a Professor in Actuarial Studies in the Department of Economics at the University of Melbourne. He is also Adjunct Professor in the Department of Statistics and Actuarial Science at the University of Waterloo.
Preface; 1. Probability distributions and insurance applications; 2. Utility theory; 3. Principles of premium calculation; 4. The collective risk model; 5. The individual risk model; 6. Introduction to ruin theory; 7. Classical ruin theory; 8. Advanced ruin theory; 9. Reinsurance; References; Solutions to exercises; Index.
| Erscheint lt. Verlag | 16.9.2010 |
|---|---|
| Reihe/Serie | International Series on Actuarial Science |
| Zusatzinfo | Worked examples or Exercises; 15 Tables, black and white; 50 Line drawings, unspecified |
| Verlagsort | Cambridge |
| Sprache | englisch |
| Maße | 150 x 228 mm |
| Gewicht | 400 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| Betriebswirtschaft / Management ► Spezielle Betriebswirtschaftslehre ► Versicherungsbetriebslehre | |
| ISBN-10 | 0-521-17675-1 / 0521176751 |
| ISBN-13 | 978-0-521-17675-0 / 9780521176750 |
| Zustand | Neuware |
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