Risk Theory

  • Hanspeter Schmidli

Part of the Springer Actuarial book series (SPACT)

Also part of the Springer Actuarial Lecture Notes book sub series (SPACLN)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Hanspeter Schmidli
    Pages 1-33
  3. Hanspeter Schmidli
    Pages 35-46
  4. Hanspeter Schmidli
    Pages 47-70
  5. Hanspeter Schmidli
    Pages 71-82
  6. Hanspeter Schmidli
    Pages 83-130
  7. Hanspeter Schmidli
    Pages 131-148
  8. Hanspeter Schmidli
    Pages 149-167
  9. Hanspeter Schmidli
    Pages 169-181
  10. Hanspeter Schmidli
    Pages 183-195
  11. Back Matter
    Pages 197-242

About this book


This book provides an overview of classical actuarial techniques, including material that is not readily accessible elsewhere such as the Ammeter risk model and the Markov-modulated risk model. Other topics covered include utility theory, credibility theory, claims reserving and ruin theory. The author treats both theoretical and practical aspects and also discusses links to Solvency II.

Written by one of the leading experts in the field, these lecture notes serve as a valuable introduction to some of the most frequently used methods in non-life insurance. They will be of particular interest to graduate students, researchers and practitioners in insurance, finance and risk management.


MSC 2010 91B30 60F10 60G42 60G44 60G51 60G55 60J10 60J25 60K05 MSC 2010 60K20 91B16 risk theory ruin theory utility theory risk models credibility reserving risk measures change of measure Lundberg exponent subexponential distributions approximations renewal model Markov modulated model

Authors and affiliations

  • Hanspeter Schmidli
    • 1
  1. 1.Institute of MathematicsUniversity of CologneCologneGermany

Bibliographic information

Industry Sectors
Finance, Business & Banking