Actuarial statistics
Undergraduate · Statistics
Syllabus focus
Standard syllabus · STEM / applied
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Topics typically covered
Standard syllabus
Probability for actuaries
- Univariate probability models for losses
- Multivariate distributions and sums of random variables
- Order statistics and extremes (introduction)
- Moment generating functions in risk models
- Conditional expectation in actuarial problems
Risk and ruin theory
- Insurance and annuity fundamentals
- Loss distributions and aggregate models
- Deductibles, limits, and coinsurance
- Ruin theory (introduction)
- Risk measures: VaR and TVaR
Estimation and forecasting
- Parameter estimation for severity and frequency models
- Credibility theory (introduction)
- Simulation of insurance portfolios
- Regulatory capital concepts (overview)
STEM / applied
Exam preparation and practice
- Problem sets aligned to Exam P/FAM-style material
- Spreadsheet and R models for actuarial calculations
- Case studies in pricing and reserving
- Survival models for life contingencies (intro)
- Professional ethics for actuaries
- Study strategies for actuarial credential pathways
Additional applied practice
- Reviewing assumptions with domain experts
- Documenting analysis choices for reproducibility
- Sensitivity analyses for key modeling decisions
- Connecting results to the original research or business question
Notes
Aligns with SOA/CAS preliminary exam topics at an undergraduate level. Applied sections emphasize exam-style problems and insurance applications.