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.

• Cover
• Copyright
• How to read this book
• Introduction
• Chapter 1: What Actuaries Measure
• Chapter 2: Mathematical Foundations for Actuarial Thinking
• Chapter 3: Probability from First Principles
• Chapter 4: Random Variables and Distributions
• Chapter 5: Core Distributions for Actuarial Models
• Chapter 6: Joint Distributions and Dependence
• Chapter 7: Statistical Inference for Actuarial Data
• Chapter 8: Data, Exposure, and Actuarial Judgment
• Chapter 9: Time Value of Money
• Chapter 10: Present Value of Uncertain Cash Flows
• Chapter 11: Survival Models and Life Tables
• Chapter 12: Life Insurance Benefits
• Chapter 13: Life Annuities
• Chapter 14: Premium Calculation
• Chapter 15: Reserves and Policy Values
• Chapter 16: Multiple-Life and Multiple-Decrement Models
• Chapter 17: Frequency and Severity Models for General Insurance
• Chapter 18: Aggregate Loss Models
• Chapter 19: Credibility Theory
• Chapter 20: Regression and Predictive Modeling for Actuarial Work
• Chapter 21: Risk Measures and Solvency
• Chapter 22: Actuarial Communication and Professional Judgment
• Chapter 23: Capstone: Build a Simple Actuarial Model
• Conclusion