Preface

Part Ⅰ Introduction
1 Modeling
2 Randon variables
3 Basic distributional quantities

Part Ⅱ Actuarial Models
4 Characteristics of Actuarial Models
5 Continuous models
6 Discrete distribtions
7 Advanced discrete Distributions
8 Frequency and severity with coverage modifications
9 Aggregate loss models

Part Ⅲ Construction of Empirical Models
10 Review of mathematical statistics
11 Estimation for complete data
12 Estimation for modidied data

Part Ⅳ Parametric Statistical Methods
13 Frequentist estimation
14 Frequentist Estimation for discrete distributions
15 Bayesian estimation
16 Model selection

Part Ⅴ credibility
17 Introduction and Limited Fluctuation Credibility
18 Greatest accuracy Credibility
19 Empitical Bayes Parameter estimation

Part Ⅵ Simulation
20 Simulation

A An inventory of contimuous distributions
B An inventory of discrete distributions
C Frequency and Severity relationships
D The recursive formula
E Discretization of the severity distribution
F Numerical optimization and solution of systems of equations

References
Index