To master the exercises in David Williams’ Probability with Martingales
Most attempts just cite dominated convergence. This solution carefully constructs a subsequence argument and justifies uniform integrability without skipping steps.
I really like Probability with Martingales by D. Williams and Probability: Theory and Examples by Durrett. Copy link CC BY-SA 4.0. Mathematics Stack Exchange Looking for a gentle book on Probability & Measure Theory david williams probability with martingales solutions best
Probability99 (WordPress): Offers detailed, conversational walkthroughs for many of the "Exercises G" and "EG" problems, such as the famous planet communication and line segment problems.
Have you found another good resource? Or a problem that still haunts you? Let me know in the comments! To master the exercises in David Williams’ Probability
By the end of the book, Elena had a method, distilled from Williams’ marginal notes and problem design:
Some of the key concepts covered in the book include: Elena had a method
The “best” solution in Probability with Martingales is not the shortest, nor the one with the cleverest trick. It is the one that reveals the structure:
"Probability with Martingales" solutions filetype:pdf