Credibility Theory and Loss Distributions - UQU

Introduction: Modeling, Random variables, Key Functions, and Four Models and Basic Distributional Quantities. Characteristics of Actuarial Models, Creating New Distributions, Selected Distributions, and Their Relationships and The Linear Exponential Family. Frequency and Severity with Coverage Modifications. Aggregate Loss Models 2 Mathematical Statistics: Moments, and Percentile Estimation, Maximum Likelihood Estimation (MLE) and Bayesian Estimation. Construction of Empirical Models and Model Selection 3 Limited Fluctuation Credibility Theory, Full Credibility and Partial Credibility 4 Greatest Accuracy Credibility: Conditional Distributions and Expectation, The Bayesian Methodology, The Credibility Premium, The Bühlmann Model, The Bühlmann-Straub Model and Exact Credibility 5 General Applications in Credibility Theory and Loss Distributions