Actuarial statistics
Undergraduate · Math
Syllabus focus
Topics typically covered
Click a topic for the full text and related unit practice.
Undergraduate Actuarial statistics — outline derived from course README sections and typical US statistics syllabi (OpenIntro / standard OER where applicable).
Probability for actuaries
- Univariate probability models for losses — Univariate probability models for losses
- Multivariate distributions — Multivariate distributions
- Sums of random variables — Sums of random variables
- Order statistics — Order statistics
- Extremes (introduction) — Extremes (introduction)
- Moment generating functions in risk models — Moment generating functions in risk models
- Conditional expectation in actuarial problems — Conditional expectation in actuarial problems
Risk and ruin theory
- Insurance and annuity fundamentals — Insurance and annuity fundamentals
- Loss distributions — Loss distributions
- Aggregate models — Aggregate models
- Deductibles and limits — Deductibles and limits
- Coinsurance — Coinsurance
- Ruin theory (introduction) — Ruin theory (introduction)
- Risk measures: VaR and TVaR — Risk measures: VaR and TVaR
Estimation and forecasting
- Parameter estimation for severity — Parameter estimation for severity
- Frequency models — Frequency models
- Credibility theory (introduction) — Credibility theory (introduction)
- Simulation of insurance portfolios — Simulation of insurance portfolios
- Regulatory capital concepts (overview) — Regulatory capital concepts (overview)
Study units
Each unit includes a study guide, worksheets, review, practice test, and answer key. One unit is free; subscribe for the full class.
- Probability for actuaries
Univariate probability models for losses
Coming soon - Risk and ruin theory
Insurance and annuity fundamentals
Coming soon - Estimation and forecasting
Parameter estimation for severity
Coming soon
Notes
Undergraduate Actuarial statistics — outline derived from course README sections and typical US statistics syllabi (OpenIntro / standard OER where applicable). Topic outline: `content/topics/undergraduate/actuarial.json`.