STEM / applied
Actuarial statistics · Undergraduate · Math
Learning objectives from the Actuarial statistics syllabus, grouped by unit. Click an objective for study materials.
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)
Learning objectives
Click an objective for study materials.
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)
Multi-Unit Problems
Course-level sets that combine skills across study units (coming soon).
Browse Multi-Unit ProblemsWhat each unit includes
Open a unit below for full materials. Typical resources:
- Study guide
- Exam Strategy
- Common Mistakes
- Worksheets
- Word problems
- Mixed Practice
- Multi-Unit Problems
- Review
- Practice test
- Answer key
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
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$1,162 · Actuarial statistics · 18 tutoring hrs
Study guides, worksheets, reviews, practice tests, and answer keys for 1 class. 18 tutoring hours (1 hr / week · semester). Bundle discount applied vs buying separately. Pay in full via Zelle.