zbMATH — the first resource for mathematics

Loss models. Further topics. (English) Zbl 1273.62008
Wiley Series in Probability and Statistics. Hoboken, NJ: John Wiley & Sons (ISBN 978-1-118-34356-2/hbk; 978-1-118-78710-6/ebook). xii, 356 p. (2013).
Publisher’s description: This book includes advanced material in actuarial modeling that goes beyond the material covered the Society of Actuaries Exam C (as covered in [the authors, Loss models: From data to decisions. 4th ed. Hoboken, NJ: John Wiley & Sons (2012; Zbl 1272.62002)]). It is an essential reference for practicing actuaries and actuarial researchers as well as programs or aspiring actuarial science students. The book maintains an approach to modeling that uses tools related to risk theory, loss distributions, and survival models. Topics covered include extreme value distributions, Coxian and related distributions, mixed Erlang distributions, computational and analytical methods for aggregate claims models, counting process, compound distributions with time dependent claim amounts, copula models, continuous time ruin models, and interpolation and smoothing. Numerous exercises and solutions are included.
Reviewer: Reviewer (Berlin)

62-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to statistics
62P05 Applications of statistics to actuarial sciences and financial mathematics
91B30 Risk theory, insurance (MSC2010)
Full Text: DOI