If you cannot make progress on a martingale proof, the bottleneck is rarely the martingale property itself. It is usually a foundational measure theory tool. Ask yourself:
: Provides rigorous solutions for advanced topics, such as Chapter 12 on Branching Processes and L2cap L squared bounded martingales. david williams probability with martingales solutions best
-algebras, Borel measures, and Carathéodory's Extension Theorem rapidly. Solutions in this section require a strong grasp of real analysis and set theory. Look for solution guides that emphasize visual set diagrams to explain the Martingale Convergence (Chapters 11–14) If you cannot make progress on a martingale
There is no "official" complete solution manual for Probability with Martingales David Williams Google Books It is a helpful forum-style alternative for seeing
: A community-driven resource that includes discussions and solutions for many of the book's exercises, particularly the "G" exercises. It is a helpful forum-style alternative for seeing different approaches. View at Probability99 Math Stack Exchange