Basic Stochastic Processes (PREMIUM ✧)
: Probability theory (random variables, expectation, laws of large numbers) and calculus.
by Durrett: Recommended for a solid grounding in martingales, Markov chains, and Brownian motion. Basic Stochastic Processes
Depending on your specific goals (finance, engineering, or pure theory), these texts offer different depths: For Financial & Actuarial Depth : Probability theory (random variables, expectation, laws of
💡 : If you find Brzezniak & Zastawniak too brief, reviewers often suggest supplementing it with A Probability Path by Sidney Resnick for a more expansive view of the underlying probability theory. Zdzistaw Brzeiniak and Tomasz Zastawniak - eclass UoA Zdzistaw Brzeiniak and Tomasz Zastawniak - eclass UoA
by Sidney Resnick: Praised for detailed explanations and a mix of simple and elaborate exercises. For Applied & Computational Use
by Bruce Hajek: A highly-regarded free resource for engineering students.
: You can find it at retailers like Walmart or Barnes & Noble . Alternative "Deep" Resources