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Actuarial Modelling of Claim Counts Risk Classification, Credibility and Bonus-Malus Systems

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ISBN-10: 0470026774

ISBN-13: 9780470026779

Edition: 2007

Authors: Michel Denuit, Xavier Marechal, Sandra Pitrebois, Jean-Francois Walhin

List price: $140.95
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Description:

This book offers a comprehensive treatment of the various experience rating systems applicable to automobile insurance and their relationships with risk classification. It also summarizes the most recent developments in the field, presenting ratemaking systems, whilst taking into account exogenous information. The book includes numerous illustrations using advanced statistical software to allow for a deep understanding of the concepts. It also offers all the actuarial techniques to design bonus-malus mechanisms. This is an extremely timely addition to the literature, as European directives recently introduced complete rating freedom, allowing companies to set up their own rates, select…    
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Book details

List price: $140.95
Copyright year: 2007
Publisher: John Wiley & Sons, Incorporated
Publication date: 9/24/2007
Binding: Hardcover
Pages: 384
Size: 7.00" wide x 9.90" long x 1.10" tall
Weight: 1.892
Language: English

The Evolution of Water Quality Criteria in the United States - 1922-2003
A Management Context For The Statistical Design Of Recreational Contact Water Quality Monitoring Programs
Conceptual Bases for Relating Illness Risk to Indicator Concentrations
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Microbial Risk Assessment Modeling
A plausible model to explain concentration-response relationships in randomized controlled trials assessing infectious disease risks from exposure to recreational waters
Statistical sensitivity analysis and water quality
Foreword
Preface
Notation
Modelling Claim Counts
Mixed Poisson Models for Claim Numbers
Introduction
Probabilistic Tools
Poisson Distribution
Mixed Poisson Distributions
Statistical Inference for Discrete Distributions
Numerical Illustration
Further Reading and Bibliographic Notes
Risk Classification
Introduction
Descriptive Statistics for Portfolio A
Poisson Regression Model
Overdispersion
Negative Binomial Regression Model
Poisson-Inverse Gaussian Regression Model
Poisson-LogNormal Regression Model
Risk Classification for Portfolio A
Ratemaking using Panel Data
Further Reading and Bibliographic Notes
Basics of Experience Rating
Credibility Models for Claim Counts
Introduction
Credibility Models
Credibility Formulas with a Quadratic Loss Function
Credibility Formulas with an Exponential Loss Function
Dependence in the Mixed Poisson Credibility Model
Further Reading and Bibliographic Notes
Bonus-Malus Scales
Introduction
Modelling Bonus-Malus Systems
Transition Probabilities
Long-Term Behaviour of Bonus-Malus Systems
Relativities with a Quadratic Loss Function
Relativities with an Exponential Loss Function
Special Bonus Rule
Change of Scale
Dependence in Bonus-Malus Scales
Further Reading and Bibliographic Notes
Advances in Experience Rating
Efficiency and Bonus Hunger
Introduction
Modelling Claim Severities
Measures of Efficiency for Bonus-Malus Scales
Bonus Hunger and Optimal Retention
Further Reading and Bibliographic Notes
Multi-Event Systems
Introduction
Multi-Event Credibility Models
Multi-Event Bonus-Malus Scales
Further Reading and Bibliographic Notes
Bonus-Malus Systems with Varying Deductibles
Introduction
Distribution of the Annual Aggregate Claims
Introducing a Deductible within a Posteriori Ratemaking
Numerical Illustrations
Further Reading and Bibliographic Notes
Transient Maximum Accuracy Criterion
Introduction
Transient Behaviour and Convergence of Bonus-Malus Scales
Quadratic Loss Function
Exponential Loss Function
Numerical Illustrations
Super Bonus Level
Further Reading and Bibliographic Notes
Actuarial Analysis of the French Bonus-Malus System
Introduction
French Bonus-Malus System
Partial Liability
Further Reading and Bibliographic Notes
Bibliography
Index