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Modelling mortality with actuarial applications. (English) Zbl 1410.62005

International Series on Actuarial Science. Cambridge: Cambridge University Press (ISBN 978-1-107-04541-5/hbk; 978-1-107-05138-6/ebook). xvi, 370 p. (2018).
Publisher’s description: Actuaries have access to a wealth of individual data in pension and insurance portfolios, but rarely use its full potential. This book will pave the way, from methods using aggregate counts to modern developments in survival analysis. Based on the fundamental concept of the hazard rate, Part I shows how and why to build statistical models, based on data at the level of the individual persons in a pension scheme or life insurance portfolio. Extensive use is made of the R statistics package. Smooth models, including regression and spline models in one and two dimensions, are covered in depth in Part II. Finally, Part III uses multiple-state models to extend survival models beyond the simple life/death setting, and includes a brief introduction to the modern counting process approach. Practising actuaries will find this book indispensable, and students will find it helpful when preparing for their professional examinations.

MSC:

62-02 Research exposition (monographs, survey articles) pertaining to statistics
62P05 Applications of statistics to actuarial sciences and financial mathematics
62P20 Applications of statistics to economics
91B30 Risk theory, insurance (MSC2010)
91D20 Mathematical geography and demography

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