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Generalized Linear Models for Insurance Data

Autor Piet De Jong, Gillian Z. Heller
en Limba Engleză Hardback – 25 oct 2013
This is the only book actuaries need to understand generalized linear models (GLMs) for insurance applications. GLMs are used in the insurance industry to support critical decisions. Until now, no text has introduced GLMs in this context or addressed the problems specific to insurance data. Using insurance data sets, this practical, rigorous book treats GLMs, covers all standard exponential family distributions, extends the methodology to correlated data structures, and discusses recent developments which go beyond the GLM. The issues in the book are specific to insurance data, such as model selection in the presence of large data sets and the handling of varying exposure times. Exercises and data-based practicals help readers to consolidate their skills, with solutions and data sets given on the companion website. Although the book is package-independent, SAS code and output examples feature in an appendix and on the website. In addition, R code and output for all the examples are provided on the website.
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Specificații

ISBN-13: 9780521879149
ISBN-10: 0521879140
Pagini: 208
Ilustrații: 34 b/w illus. 5 colour illus. 43 tables 25 exercises
Dimensiuni: 157 x 235 x 16 mm
Greutate: 0.46 kg
Editura: Cambridge University Press
Locul publicării:Cambridge, United Kingdom

Cuprins

Preface; 1. Insurance data; 2. Response distributions; 3. Exponential family responses and estimation; 4. Linear modeling; 5. Generalized linear models; 6. Models for count data; 7. Categorical responses; 8. Continuous responses; 9. Correlated data; 10. Extensions to the Generalized linear model; Appendix 1. Computer code and output; Bibliography; Index.


Recenzii

"I would recommend such a book to my students without hesitation."
Cho-Jieh Chen, Journal of the American Statistical Association

Descriere

This is the only book actuaries need to understand generalized linear models (GLMs) for insurance applications. GLMs are used in the insurance industry to support critical decisions. Until now, no text has introduced GLMs in this context or addressed the problems specific to insurance data. Using insurance data sets, this practical, rigorous book treats GLMs, covers all standard exponential family distributions, extends the methodology to correlated data structures, and discusses recent developments which go beyond the GLM. The issues in the book are specific to insurance data, such as model selection in the presence of large data sets and the handling of varying exposure times. Exercises and data-based practicals help readers to consolidate their skills, with solutions and data sets given on the companion website. Although the book is package-independent, SAS code and output examples feature in an appendix and on the website. In addition, R code and output for all the examples are provided on the website.