Loss Models: From Data to Decisions, 4th Edition

Contents

Cover

Half Title page

Title page

Copyright page

Preface

Part I: Introduction

Chapter 1: Modeling

1.1 The model-based approach

1.2 Organization of this book

Chapter 2: Random Variables

2.1 Introduction

2.2 Key functions and four models

Chapter 3: Basic Distributional Quantities

3.1 Moments

3.2 Percentiles

3.3 Generating functions and sums of random variables

3.4 Tails of distributions

3.5 Measures of Risk

Part II: Actuarial Models

Chapter 4: Characteristics of Actuarial Models

4.1 Introduction

4.2 The role of parameters

Chapter 5: Continuous Models

5.1 Introduction

5.2 Creating new distributions

5.3 Selected distributions and their relationships

5.4 The linear exponential family

Chapter 6: Discrete Distributions

6.1 Introduction

6.2 The Poisson distribution

6.3 The negative binomial distribution

6.4 The binomial distribution

6.5 The (a, b, 0) class

6.6 Truncation and modification at zero

Chapter 7: Advanced Discrete Distributions

7.1 Compound frequency distributions

7.2 Further properties of the compound Poisson class

7.3 Mixed frequency distributions

7.4 Effect of exposure on frequency

Appendix: An inventory of discrete distributions

Chapter 8: Frequency and Severity with Coverage Modifications

8.1 Introduction

8.2 Deductibles

8.3 The loss elimination ratio and the effect of inflation for ordinary deductibles

8.4 Policy limits

8.5 Coinsurance, deductibles, and limits ...