Stochastic dominance is a powerful tool in actuarial decision-making, particularly useful for candidates preparing for the SOA Exam C and professionals tackling real-world risk and portfolio decisions. At its core, stochastic dominance provides a way to compare uncertain prospects—like investment returns or insurance outcomes—without needing to specify an exact utility function. This makes it highly practical in actuarial contexts, where preferences about risk and reward vary widely and must be assessed rigorously.

If you’re preparing for the SOA Exam C or CAS MAS-II, understanding how to implement Poisson and Renewal processes is a must-have skill. These stochastic processes form the backbone of many actuarial models, especially in insurance and risk management. They help us model the timing and frequency of random events like claims or arrivals, which are crucial for pricing, reserving, and risk assessment. Here, I’ll walk you through the essentials of these processes, share practical examples, and offer tips that have helped me master these topics.