CS2 – Risk Modelling and Survival Analysis

5个单元 · 21个章节

免费的CS2 – Risk Modelling and Survival Analysis学习笔记,专为IFoA (Institute and Faculty of Actuaries)学生准备。下列每个章节都涵盖一个重点主题,附有例题与练习提示,可在 thinka 应用中延伸练习。

Random variables and distributions for risk modelling

  • Loss distributions, with and without risk sharing

  • Compound distributions and their applications in risk modelling

  • Introduction to copulas

  • Introduction to extreme value theory

Time series

  • Understand the core concepts underlying time series models

  • Applications of time series models

Stochastic processes

  • Stochastic processes

  • Understand and apply a Markov chain

  • Define and apply a Markov process

Survival models

  • Concepts of survival models

  • Understand the estimation procedures for lifetime distributions

  • Derive maximum likelihood estimators for transition intensities

  • Transition intensities dependent on age (exact or census)

  • Graduation and graduation tests

  • Mortality projection

Machine learning

  • Bias/variance trade-off and relationships with model complexity

  • Cross-validation to evaluate models on unseen data, and estimate hyper-parameters

  • Understand how regularisation can be used to reduce overfitting in highly parameterised models

  • The use of software to apply supervised learning techniques, to solve regression and classification problems

  • The use of metrics such as precision, recall, F1 score and diagnostics such as the ROC curve and confusion matrix to evaluate the performance of a binary classifier

  • Unsupervised learning techniques (principal component analysis, K-means clustering) to reduce data dimensionality, identify latent substructure and detect anomalies

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