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Table of contents
Actuarial Mathematics and Statistics from First Principles
A beginner-friendly path from probability and interest theory to life contingencies, risk models, and actuarial decision-making
Read each section in order. Every title can be opened as a TheoryTrace document.
- Cover1
- Copyright2
- How to read this book3
- Introduction4
- Chapter 1: What Actuaries Measure5
- Chapter 2: Mathematical Foundations for Actuarial Thinking6
- Chapter 3: Probability from First Principles7
- Chapter 4: Random Variables and Distributions8
- Chapter 5: Core Distributions for Actuarial Models9
- Chapter 6: Joint Distributions and Dependence10
- Chapter 7: Statistical Inference for Actuarial Data11
- Chapter 8: Data, Exposure, and Actuarial Judgment12
- Chapter 9: Time Value of Money13
- Chapter 10: Present Value of Uncertain Cash Flows14
- Chapter 11: Survival Models and Life Tables15
- Chapter 12: Life Insurance Benefits16
- Chapter 13: Life Annuities17
- Chapter 14: Premium Calculation18
- Chapter 15: Reserves and Policy Values19
- Chapter 16: Multiple-Life and Multiple-Decrement Models20
- Chapter 17: Frequency and Severity Models for General Insurance21
- Chapter 18: Aggregate Loss Models22
- Chapter 19: Credibility Theory23
- Chapter 20: Regression and Predictive Modeling for Actuarial Work24
- Chapter 21: Risk Measures and Solvency25
- Chapter 22: Actuarial Communication and Professional Judgment26
- Chapter 23: Capstone: Build a Simple Actuarial Model27
- Conclusion28