CS1 – Actuarial Statistics
5 个单元 · 22 个章节
免费 CS1 – Actuarial Statistics 学习笔记，适合 IFoA (Institute and Faculty of Actuaries) 学生。每个章节都覆盖一个重点主题，并附例题与可延伸到 thinka app 的练习提示。
Random variables and distributions
Understand the characteristics of basic univariate distributions and how to generate samples from them
Determine the characteristics of jointly distributed random variables
Evaluate expectations and conditional expectations
Evaluate and apply generating functions
State and apply the central limit theorem
Describe random sampling and the sampling distributions of statistics commonly used in statistical inference
Statistical inference
Regression theory and applications
Bayesian statistics
Use of Bayes' theorem to calculate simple conditional probabilities
Prior distribution, posterior distribution and conjugate prior distribution
Posterior distribution for a parameter in simple cases
Use of simple loss functions to derive Bayesian estimates of parameters
Credible intervals in simple cases
Credibility premium formula and the role played by the credibility factor
Bayesian approach to credibility theory and its use for calculating credibility premiums in simple cases
Empirical Bayes approach to credibility theory and its use for deriving credibility premiums in simple cases
Understanding the differences between the Bayes and Empirical Bayes approaches and the assumptions underlying each of them
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